Identifier
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00011: Binary trees —to graph⟶ Graphs
Mp00011: Binary trees —to graph⟶ Graphs
Images
=>
Cc0010;cc-rep-1Cc0020;cc-rep-2
[1]=>[.,.]=>([],1)
[1,2]=>[.,[.,.]]=>([(0,1)],2)
[2,1]=>[[.,.],.]=>([(0,1)],2)
[1,2,3]=>[.,[.,[.,.]]]=>([(0,2),(1,2)],3)
[1,3,2]=>[.,[[.,.],.]]=>([(0,2),(1,2)],3)
[2,1,3]=>[[.,.],[.,.]]=>([(0,2),(1,2)],3)
[2,3,1]=>[[.,.],[.,.]]=>([(0,2),(1,2)],3)
[3,1,2]=>[[.,[.,.]],.]=>([(0,2),(1,2)],3)
[3,2,1]=>[[[.,.],.],.]=>([(0,2),(1,2)],3)
[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>([(0,3),(1,2),(2,3)],4)
[1,2,4,3]=>[.,[.,[[.,.],.]]]=>([(0,3),(1,2),(2,3)],4)
[1,3,2,4]=>[.,[[.,.],[.,.]]]=>([(0,3),(1,3),(2,3)],4)
[1,3,4,2]=>[.,[[.,.],[.,.]]]=>([(0,3),(1,3),(2,3)],4)
[1,4,2,3]=>[.,[[.,[.,.]],.]]=>([(0,3),(1,2),(2,3)],4)
[1,4,3,2]=>[.,[[[.,.],.],.]]=>([(0,3),(1,2),(2,3)],4)
[2,1,3,4]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4)
[2,1,4,3]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4)
[2,3,1,4]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4)
[2,3,4,1]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4)
[2,4,1,3]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4)
[2,4,3,1]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4)
[3,1,2,4]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[3,1,4,2]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[3,2,1,4]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[3,2,4,1]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[3,4,1,2]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[3,4,2,1]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[4,1,2,3]=>[[.,[.,[.,.]]],.]=>([(0,3),(1,2),(2,3)],4)
[4,1,3,2]=>[[.,[[.,.],.]],.]=>([(0,3),(1,2),(2,3)],4)
[4,2,1,3]=>[[[.,.],[.,.]],.]=>([(0,3),(1,3),(2,3)],4)
[4,2,3,1]=>[[[.,.],[.,.]],.]=>([(0,3),(1,3),(2,3)],4)
[4,3,1,2]=>[[[.,[.,.]],.],.]=>([(0,3),(1,2),(2,3)],4)
[4,3,2,1]=>[[[[.,.],.],.],.]=>([(0,3),(1,2),(2,3)],4)
[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,3,5,4,1]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,4,3,1,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,4,5,3,1]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,5,3,1,4]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,5,3,4,1]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,2,4,1,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,2,4,5,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,2,1,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,2,5,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,1,3,5,2]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,3,5,1]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,1,3,4,2]=>[[.,[[.,.],[.,.]]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,1,4,2,3]=>[[.,[[.,[.,.]],.]],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,2,3,1,4]=>[[[.,.],[.,[.,.]]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]=>([(0,4),(1,4),(2,3),(3,4)],5)
[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]=>([(0,4),(1,3),(2,3),(2,4)],5)
[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,5,4,6,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,5,6,4,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,4,6,5,2]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,5,4,2,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,5,4,6,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,5,6,4,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,6,2,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,6,4,2,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,6,4,5,2]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,6,5,2,4]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,3,6,5,4,2]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,2,5,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,2,5,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,2,6,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,3,5,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,3,5,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,3,6,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,3,6,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,5,3,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,5,6,2,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,5,6,3,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,6,3,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,6,3,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,6,5,2,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,4,6,5,3,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,2,4,6,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,2,6,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,3,2,4,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,3,2,6,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,3,4,6,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,3,6,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,4,2,6,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,4,3,6,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,4,6,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,4,6,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,6,2,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,6,3,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,5,6,4,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,6,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,6,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,6,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,1,3,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,1,3,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,4,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,4,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,4,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,4,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,5,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,5,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,5,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,1,6,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,6,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,6,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,1,6,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,1,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,1,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,1,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,1,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,4,1,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,4,5,1,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,4,6,1,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,4,6,5,1]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,5,1,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,5,4,1,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,5,4,6,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,5,6,1,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,5,6,4,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,6,1,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,6,4,1,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,6,4,5,1]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,6,5,1,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,3,6,5,4,1]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,1,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,1,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,1,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,3,1,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,3,1,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,3,5,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,3,5,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,3,6,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,3,6,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,1,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,3,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,6,1,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,5,6,3,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,6,1,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,6,3,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,6,3,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,6,5,1,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,4,6,5,3,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,3,1,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,3,1,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,3,4,1,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,3,6,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,3,6,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,4,1,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,4,3,1,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,4,6,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,4,6,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,6,1,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,6,3,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,6,3,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,6,4,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,6,4,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,6,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,2,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,2,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,2,5,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,2,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,4,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,4,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,5,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,5,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,5,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,5,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,6,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,6,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,6,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,1,5,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,1,6,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,4,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,4,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,4,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,4,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,4,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,5,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,5,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,5,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,5,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,5,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,5,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,2,6,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,6,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,6,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,1,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,1,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,1,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,1,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,2,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,2,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,2,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,2,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,2,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,2,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,5,1,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,5,1,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,5,2,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,5,2,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,6,1,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,6,2,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,6,2,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,6,5,1,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,4,6,5,2,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,1,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,1,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,1,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,2,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,2,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,2,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,2,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,2,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,1,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,1,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,2,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,2,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,1,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,2,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,2,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,4,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,6,4,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,2,3,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,2,6,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,3,2,6,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,3,5,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,3,5,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,3,6,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,3,6,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,5,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,5,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,5,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,6,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,6,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,1,3,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,1,5,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,1,5,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,3,5,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,3,5,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,3,6,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,3,6,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,5,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,5,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,5,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,5,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,5,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,6,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,6,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,1,2,6,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,1,5,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,1,5,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,2,5,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,2,5,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,5,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,5,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,5,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,5,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,5,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,5,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,6,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,1,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,1,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,1,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,1,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,1,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,2,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,2,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,2,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,2,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,2,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,2,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,3,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,3,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,3,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,3,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,3,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,6,1,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,6,2,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,5,7,3,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,6,3,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,6,3,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,4,7,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,7,3,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,7,5,3,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,7,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,4,7,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,3,6,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,3,6,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,3,7,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,3,7,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,6,7,4,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,7,4,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,3,5,7,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,3,7,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,7,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,7,3,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,2,7,6,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,2,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,5,7,2,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,6,2,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,6,2,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,4,7,2,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,7,2,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,7,5,2,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,7,6,2,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,4,7,6,5,2]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,5,2,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,2,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,2,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,2,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,2,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,4,7,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,6,7,2,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,6,7,4,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,7,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,7,4,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,2,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,2,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,2,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,2,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,4,2,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,4,2,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,5,2,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,5,4,7,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,7,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,7,2,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,7,4,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,7,4,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,3,7,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,2,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,2,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,2,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,2,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,2,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,4,2,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,4,2,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,4,5,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,4,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,4,6,5,2]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,5,2,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,5,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,5,4,2,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,5,4,6,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,3,7,6,2,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,6,2,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,6,4,2,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,6,4,5,2]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,6,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,3,7,6,5,4,2]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,5,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,5,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,5,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,5,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,5,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,5,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,6,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,6,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,6,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,6,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,6,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,2,7,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,7,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,7,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,7,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,7,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,2,7,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,5,7,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,6,2,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,6,2,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,3,7,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,7,2,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,7,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,7,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,7,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,3,7,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,3,7,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,6,2,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,6,3,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,7,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,7,2,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,7,3,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,7,3,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,7,6,2,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,5,7,6,3,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,3,2,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,3,2,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,5,7,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,5,7,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,7,2,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,7,3,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,7,3,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,7,5,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,6,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,3,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,3,2,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,3,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,3,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,3,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,5,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,5,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,6,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,6,2,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,6,3,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,6,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,3,6,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,4,6,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,4,7,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,6,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,6,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,6,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,6,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,6,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,7,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,7,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,7,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,2,7,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,2,6,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,2,6,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,2,7,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,4,7,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,6,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,7,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,7,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,2,6,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,2,7,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,6,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,6,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,7,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,7,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,3,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,3,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,6,7,4,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,6,7,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,3,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,3,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,4,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,6,3,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,5,7,6,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,5,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,7,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,7,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,3,4,7,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,3,7,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,7,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,6,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,2,3,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,4,6,5,3]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,5,4,6,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,5,6,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,2,6,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,2,6,4,5,3]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,2,6,5,4,3]=>[.,[[.,[[[[.,.],.],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,2,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,3,6,2,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,2,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,3,2,6,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,5,2,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,5,2,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,5,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,5,3,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,6,2,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,6,2,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,6,5,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,4,6,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,7,5,2,3,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,2,3,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,2,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,3,4,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,3,6,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,3,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,6,2,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,7,5,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,5,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,6,2,3,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,6,2,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,6,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,6,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,3,5,4,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,7,6,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,6,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,6,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,7,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,4,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,4,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,5,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,5,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,1,6,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,6,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,7,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,7,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,7,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,7,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,7,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,1,7,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,7,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,1,7,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,1,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,1,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,1,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,1,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,1,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,1,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,1,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,1,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,1,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,1,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,1,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,5,1,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,5,1,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,5,6,1,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,5,7,1,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,5,7,6,1]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,6,1,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,6,1,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,6,5,1,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,6,5,7,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,6,7,1,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,6,7,5,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,4,7,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,7,1,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,7,5,1,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,7,5,6,1]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,7,6,1,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,4,7,6,5,1]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,5,1,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,1,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,1,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,1,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,1,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,4,1,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,4,1,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,4,6,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,4,7,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,4,7,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,6,1,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,6,1,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,6,4,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,6,4,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,6,7,1,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,6,7,4,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,7,1,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,7,1,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,7,4,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,7,4,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,7,6,1,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,5,7,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,1,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,1,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,1,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,1,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,1,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,1,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,4,1,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,4,1,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,4,5,1,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,4,5,7,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,4,7,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,4,7,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,5,1,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,5,1,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,5,4,1,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,5,4,7,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,5,7,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,5,7,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,7,1,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,7,4,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,7,4,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,7,5,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,6,7,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,3,7,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,1,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,1,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,1,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,1,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,1,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,4,1,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,4,1,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,4,5,1,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,4,5,6,1]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,4,6,1,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,4,6,5,1]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,5,1,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,5,1,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,5,4,1,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,5,4,6,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,5,6,1,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,5,6,4,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,3,7,6,1,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,6,1,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,6,4,1,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,6,4,5,1]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,6,5,1,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,3,7,6,5,4,1]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,1,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,1,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,1,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,1,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,1,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,1,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,1,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,1,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,5,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,5,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,5,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,5,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,5,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,5,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,6,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,6,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,6,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,6,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,6,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,3,7,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,7,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,7,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,7,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,7,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,3,7,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,1,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,3,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,3,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,3,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,3,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,3,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,3,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,6,3,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,6,7,3,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,7,1,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,7,3,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,7,3,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,7,6,1,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,5,7,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,1,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,1,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,1,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,3,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,3,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,3,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,3,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,3,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,5,1,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,5,7,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,7,1,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,7,3,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,7,3,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,7,5,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,6,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,1,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,1,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,1,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,1,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,3,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,3,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,3,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,3,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,3,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,3,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,5,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,5,1,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,5,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,5,6,1,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,5,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,6,1,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,6,1,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,6,3,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,6,3,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,6,5,1,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,4,7,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,1,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,1,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,1,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,4,1,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,4,1,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,4,6,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,4,6,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,4,7,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,4,7,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,6,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,6,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,6,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,6,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,6,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,6,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,7,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,7,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,7,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,7,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,1,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,1,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,1,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,1,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,1,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,3,1,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,3,6,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,3,6,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,6,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,6,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,6,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,6,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,6,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,6,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,7,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,7,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,7,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,7,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,1,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,1,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,1,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,3,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,3,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,3,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,3,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,3,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,4,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,4,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,4,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,7,1,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,7,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,6,7,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,1,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,1,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,1,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,3,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,3,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,3,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,3,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,3,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,4,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,4,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,4,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,4,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,4,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,4,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,6,1,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,6,1,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,6,3,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,6,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,6,4,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,5,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,1,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,1,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,1,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,4,1,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,4,1,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,4,5,1,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,4,7,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,5,1,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,5,1,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,5,4,7,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,5,7,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,5,7,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,7,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,7,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,7,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,3,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,4,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,1,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,1,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,3,1,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,3,5,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,5,1,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,5,3,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,5,7,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,4,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,5,1,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,1,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,1,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,3,4,1,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,3,7,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,4,7,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,7,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,7,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,7,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,1,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,7,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,5,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,6,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,1,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,1,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,1,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,1,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,1,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,1,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,1,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,1,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,1,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,1,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,1,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,1,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,1,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,1,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,1,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,1,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,1,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,4,1,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,4,1,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,4,5,1,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,4,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,4,6,1,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,4,6,5,1]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,5,1,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,5,1,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,5,4,1,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,5,4,6,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,5,6,4,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,3,6,1,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,6,1,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,6,4,1,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,6,4,5,1]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,6,5,1,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,3,6,5,4,1]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,4,1,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,1,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,1,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,1,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,1,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,3,1,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,3,1,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,3,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,3,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,3,6,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,5,1,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,5,1,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,5,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,5,6,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,5,6,3,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,6,1,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,6,1,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,6,3,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,6,3,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,6,5,1,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,4,6,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,1,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,1,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,1,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,1,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,1,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,3,1,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,3,1,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,3,4,1,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,3,4,6,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,3,6,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,3,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,4,1,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,4,1,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,4,3,1,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,4,3,6,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,4,6,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,4,6,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,6,1,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,6,1,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,6,3,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,6,4,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,5,6,4,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[2,7,6,1,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,1,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,1,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,3,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,3,1,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,3,4,1,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,3,4,5,1]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,3,5,1,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,3,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,4,1,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,4,1,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,4,3,1,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,4,3,5,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,4,5,1,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,4,5,3,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[2,7,6,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,5,3,4,1]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,5,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,5,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,5,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,5,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,6,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,6,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,6,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,6,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,7,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,7,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,2,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,2,7,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,2,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,4,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,4,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,5,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,6,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,1,7,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,4,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,4,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,5,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,5,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,6,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,2,7,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,2,7,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,1,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,1,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,2,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,2,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,1,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,1,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,1,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,1,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,1,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,1,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,2,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,2,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,2,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,2,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,2,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,2,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,6,1,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,6,1,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,6,2,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,6,2,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,7,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,7,1,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,7,2,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,7,2,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,7,6,1,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,5,7,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,6,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,1,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,1,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,1,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,1,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,2,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,2,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,2,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,2,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,2,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,2,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,5,1,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,5,1,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,5,2,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,5,2,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,5,7,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,5,7,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,7,1,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,7,2,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,7,2,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,6,7,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,1,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,1,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,1,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,1,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,1,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,2,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,2,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,2,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,2,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,2,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,5,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,5,1,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,5,2,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,5,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,5,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,5,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,6,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,6,1,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,6,2,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,6,2,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,6,5,1,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,4,7,6,5,2,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,5,1,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,1,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,2,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,1,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,1,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,1,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,1,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,1,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,1,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,2,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,2,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,2,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,2,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,2,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,2,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,6,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,6,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,6,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,6,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,6,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,6,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,7,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,7,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,7,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,7,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,1,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,1,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,1,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,2,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,2,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,2,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,2,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,2,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,4,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,4,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,4,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,4,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,7,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,7,2,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,7,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,6,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,1,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,1,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,1,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,1,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,2,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,2,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,2,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,2,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,2,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,2,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,4,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,4,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,4,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,4,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,6,1,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,6,2,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,6,2,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,6,4,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,5,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,2,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,1,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,1,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,1,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,1,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,1,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,2,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,2,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,2,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,2,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,2,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,5,1,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,5,2,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,5,2,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,7,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,4,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,1,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,1,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,1,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,1,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,2,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,2,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,2,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,2,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,2,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,4,1,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,4,1,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,7,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,5,7,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,2,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,2,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,2,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,7,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,1,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,2,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,1,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,1,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,2,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,2,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,2,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,2,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,2,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,5,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,5,2,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,5,2,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,5,6,2,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,6,1,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,6,1,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,6,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,6,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,6,5,1,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,4,6,5,2,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,5,1,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,1,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,1,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,2,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,2,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,2,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,2,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,2,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,4,1,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,4,1,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,4,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,4,2,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,4,6,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,4,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,6,1,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,6,1,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,6,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,6,4,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,5,6,4,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,7,6,1,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,1,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,1,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,1,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,2,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,2,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,2,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,4,1,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,4,1,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,4,2,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,4,5,2,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,3,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,3,6,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,3,7,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,3,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,5,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,5,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,5,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,5,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,5,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,6,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,6,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,6,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,6,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,6,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,7,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,7,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,7,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,2,7,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,2,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,2,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,2,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,2,6,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,2,7,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,2,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,5,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,5,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,5,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,5,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,5,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,5,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,6,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,6,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,6,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,6,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,6,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,6,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,3,7,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,7,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,7,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,7,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,3,7,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,5,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,6,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,2,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,3,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,3,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,3,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,3,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,3,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,5,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,5,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,5,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,5,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,5,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,5,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,6,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,6,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,6,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,6,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,6,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,7,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,7,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,5,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,5,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,5,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,5,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,5,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,5,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,6,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,6,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,6,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,6,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,6,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,6,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,3,7,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,7,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,7,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,7,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,3,7,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,5,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,6,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,2,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,2,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,2,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,2,6,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,2,7,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,2,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,5,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,5,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,5,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,5,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,5,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,5,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,6,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,6,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,6,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,6,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,6,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,6,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,7,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,7,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,7,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,5,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,5,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,5,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,5,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,5,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,5,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,6,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,6,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,6,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,6,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,6,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,6,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,2,7,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,7,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,7,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,6,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,6,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,3,7,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,1,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,2,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,2,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,3,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,1,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,1,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,1,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,2,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,2,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,2,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,2,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,2,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,2,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,3,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,3,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,3,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,3,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,3,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,3,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,7,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,7,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,1,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,1,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,2,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,2,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,2,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,2,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,2,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,2,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,3,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,3,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,3,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,3,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,6,1,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,6,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,6,2,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,6,2,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,5,7,6,3,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,5,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,6,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,2,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,2,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,1,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,1,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,2,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,2,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,2,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,2,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,2,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,3,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,7,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,7,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,3,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,3,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,6,7,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,2,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,1,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,2,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,2,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,2,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,2,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,2,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,2,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,3,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,3,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,3,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,3,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,3,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,6,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,6,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,5,6,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,5,6,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,1,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,2,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,5,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,3,6,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,3,6,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,4,3,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,4,6,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,4,6,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,4,7,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,4,7,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,6,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,6,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,6,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,7,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,3,2,4,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,2,6,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,4,2,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,4,6,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,4,6,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,4,7,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,4,7,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,6,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,6,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,6,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,6,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,6,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,7,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,7,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,7,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,7,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,4,2,3,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,2,6,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,2,6,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,2,7,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,3,2,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,3,6,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,3,6,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,3,7,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,3,7,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,6,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,6,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,6,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,6,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,6,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,6,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,7,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,7,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,7,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,4,7,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,6,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,6,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,1,7,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,2,1,3,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,3,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,3,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,3,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,4,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,4,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,4,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,4,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,4,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,6,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,6,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,6,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,6,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,6,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,6,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,7,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,1,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,1,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,1,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,1,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,6,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,6,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,6,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,7,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,1,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,6,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,6,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,6,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,6,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,6,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,6,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,7,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,7,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,7,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,6,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,2,4,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,2,6,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,4,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,4,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,4,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,6,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,6,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,6,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,6,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,7,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,6,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,6,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,6,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,7,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,7,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,1,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,1,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,2,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,2,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,2,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,6,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,6,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,6,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,6,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,7,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,7,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,7,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,4,7,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,6,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,2,6,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,2,6,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,2,7,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,3,2,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,3,2,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,3,6,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,3,6,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,3,7,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,3,7,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,6,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,6,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,6,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,6,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,7,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,7,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,1,3,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,1,6,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,3,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,3,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,3,6,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,3,6,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,3,7,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,3,7,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,6,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,6,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,6,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,6,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,6,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,7,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,7,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,1,2,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,1,6,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,1,6,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,6,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,6,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,6,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,6,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,6,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,6,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,1,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,1,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,2,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,2,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,3,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,4,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,4,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,7,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,3,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,4,7,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,5,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,5,4,3,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,5,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,5,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,5,7,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,7,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,2,7,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,3,2,4,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,2,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,2,5,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,2,7,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,4,5,7,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,4,7,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,4,7,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,5,2,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,5,4,2,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,5,7,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,7,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,7,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,2,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,2,5,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,2,5,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,2,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,3,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,3,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,3,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,5,2,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,5,7,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,7,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,4,7,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,2,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,2,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,2,4,7,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,3,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,3,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,3,4,2,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,3,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,3,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,4,2,3,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,4,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,4,3,2,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,4,3,7,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,4,7,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,7,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,7,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,7,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,7,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,5,7,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,5,7,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,7,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,7,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,1,7,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,2,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,3,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,4,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,4,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,4,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,4,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,5,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,5,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,5,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,5,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,7,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,7,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,7,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,1,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,1,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,5,7,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,4,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,1,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,1,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,5,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,1,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,3,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,4,7,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,7,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,5,7,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,7,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,2,5,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,7,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,1,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,1,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,1,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,2,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,5,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,4,7,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,1,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,1,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,1,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,1,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,2,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,4,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,4,2,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,4,2,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,7,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,5,7,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,2,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,3,5,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,5,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,3,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,5,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,7,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,5,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,7,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,1,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,1,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,1,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,3,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,7,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,5,7,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,2,3,7,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,2,4,3,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,2,4,7,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,3,7,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,4,2,7,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,4,3,7,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,4,7,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,4,7,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,1,7,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,1,3,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,1,4,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,3,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,4,7,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,7,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,1,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,1,4,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,2,4,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,2,4,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,4,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,7,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,7,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,5,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,5,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[6,7,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,2,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,4,6,3,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,5,4,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,5,6,4,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,2,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,2,6,5,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,3,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,2,5,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,4,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,4,6,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,4,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,5,2,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,5,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,5,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,5,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,5,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,3,6,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,6,2,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,6,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,6,4,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,6,5,2,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,3,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,2,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,2,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,2,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,3,2,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,5,2,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,5,6,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,5,6,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,6,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,6,5,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,2,4,3,6]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,2,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,4,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,4,6,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,4,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,6,2,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,6,3,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,1,5,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,5,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,6,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,6,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,3,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,4,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,6,5,3,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,1,6,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,1,3,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,1,3,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,1,3,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,4,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,5,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,1,6,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,1,6,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,1,6,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,1,6,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,1,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,1,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,5,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,5,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,1,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,1,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,1,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,1,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,1,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,5,1,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,5,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,5,6,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,6,3,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,4,6,5,3,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,1,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,1,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,1,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,3,1,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,3,6,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,5,6,4,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,2,6,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,1,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,3,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,3,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,2,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,2,5,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,4,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,4,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,5,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,5,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,2,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,1,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,1,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,1,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,2,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,5,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,4,6,5,2,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,4,2,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,5,6,4,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,3,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,1,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,1,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,4,2,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,4,5,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,2,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,3,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,3,1,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,3,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,3,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,5,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,5,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,5,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,5,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,5,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,6,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,3,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,3,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,1,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,3,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,4,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,1,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,2,3,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,2,3,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,6,1,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,1,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,1,2,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,1,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,1,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,1,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,1,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,1,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,1,4,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,4,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,1,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[7,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,5,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,7,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,8,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,4,6,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,4,7,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,4,7,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,7,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,8,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,6,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,6,8,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,7,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,7,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,4,3,5,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,8,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,4,3,6,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,5,3,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,3,4,6,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,4,3,5,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,4,3,7,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,6,3,7,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,3,5,7,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,3,6,7,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,4,6,7,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,3,5,6,7,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,3,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,3,8,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,4,3,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,3,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,3,8,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,3,8,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,6,3,8,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,6,3,8,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,7,3,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,7,3,8,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,7,3,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,3,8,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,4,8,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,3,5,8,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,4,5,8,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,3,6,8,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,4,6,8,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,5,6,8,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,3,7,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,4,7,8,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,5,7,8,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,6,7,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,6,7,8,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,6,7,8,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,6,8,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,5,6,4,2,3,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,5,7,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,5,8,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,4,5,2,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,5,4,6,2,3,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,5,4,7,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,6,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,5,7,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,5,4,8,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,7,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,8,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,5,8,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,3,2,4,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,3,2,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,4,3,2,5,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,4,2,5,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,8,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,3,2,4,5,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,8,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,4,3,2,6,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,3,4,2,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,4,3,5,2,6,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,4,2,3,6,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,5,3,2,4,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,4,3,2,5,6,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,3,2,7,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,3,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,6,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,3,4,2,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,3,5,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,4,5,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,4,3,6,2,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,3,6,2,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,5,6,2,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,6,2,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,2,3,7,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,5,3,2,4,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,3,2,5,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,2,3,5,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,2,3,4,5,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,3,2,6,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,4,2,6,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,4,5,2,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,2,3,6,7,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,5,2,3,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,2,5,6,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,3,5,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,4,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,3,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,3,2,8,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,4,3,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,3,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,3,2,8,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,3,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,6,3,2,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,7,3,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,7,3,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,3,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,4,2,8,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,3,4,2,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,3,4,2,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,3,5,2,8,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,4,5,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,3,6,2,8,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,3,6,2,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,4,6,2,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,5,6,2,8,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,3,7,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,3,7,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,7,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,4,7,2,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,7,2,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,5,7,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,4,5,7,2,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,6,7,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,7,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,6,7,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,2,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,2,3,8,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,7,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,2,3,8,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,5,2,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,4,6,2,3,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,5,6,2,3,8,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,4,7,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,2,3,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,2,4,8,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,3,2,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,3,2,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,2,3,4,8,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,2,3,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,7,2,3,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,3,2,5,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,4,2,3,5,8,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,2,4,5,8,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,2,4,5,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,3,4,5,8,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,3,4,5,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,3,2,6,8,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,5,2,6,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,2,3,6,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,5,2,3,6,8,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,3,2,4,6,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,3,4,6,8,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,4,5,6,8,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,4,5,6,8,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,2,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,2,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,4,2,7,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,5,2,7,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,6,2,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,2,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,2,3,7,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,5,2,3,7,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,6,2,3,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,3,2,4,7,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,3,4,7,8,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,4,5,7,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,2,6,7,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,2,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,3,6,7,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,3,6,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,4,6,7,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,5,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,6,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,7,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,6,4,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,7,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,8,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,4,5,3,1,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,4,6,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,7,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,6,7,3,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,4,8,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,8,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,4,8,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,8,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,8,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,4,7,8,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,8,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,7,8,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,5,3,6,1,2]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,4,3,5,6,1,2]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,4,3,7,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,6,3,7,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,3,6,7,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,4,6,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,3,5,6,7,1,2]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,4,3,8,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,3,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,4,3,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,4,5,3,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,6,3,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,7,3,8,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,3,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,7,3,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,3,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,4,8,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,3,5,8,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,4,5,8,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,3,6,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,3,6,8,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,4,6,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,5,6,8,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,3,7,8,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,4,7,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,5,7,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,4,5,7,8,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,6,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,6,7,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,6,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,2,1,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,7,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,8,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,5,6,4,2,1,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,5,8,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,7,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,8,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,4,5,2,1,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,6,7,2,1,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,5,4,8,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,8,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,7,4,8,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,8,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,8,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,4,6,8,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,5,6,8,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,6,7,8,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,8,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,7,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,8,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,4,6,1,2,3]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,4,7,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,7,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,6,7,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,4,8,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,8,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,6,8,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,6,8,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,7,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,7,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,7,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,3,2,1,4]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,3,2,1,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,2,3,1,4]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,3,1,2,4]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,5,8,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,2,1,3,4]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,7,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,7,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,4,3,2,1,5]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,4,2,1,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,4,2,3,1,5]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,3,2,4,1,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,8,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,2,3,4,1,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,4,3,1,2,5]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,4,1,2,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,8,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,4,2,1,3,5]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,7,8,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,4,1,2,3,5]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,8,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,2,1,4,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,8,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,2,3,1,4,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,1,2,4,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,8,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,2,1,3,4,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,4,3,2,1,6]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,5,3,2,1,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,3,4,2,1,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,4,5,2,1,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,5,2,3,1,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,5,3,2,4,1,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,4,3,2,5,1,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,2,5,1,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,3,4,5,1,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,4,3,1,2,6]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,3,4,1,2,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,4,5,1,2,6]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,5,4,1,2,3,6]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,5,1,2,3,6]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,3,2,1,4,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,3,1,2,4,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,2,1,3,4,6]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,1,2,3,4,6]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,3,2,1,5,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,2,1,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,2,4,1,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,3,4,1,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,1,2,5,6]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,2,1,3,5,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,1,2,3,5,6]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,2,1,4,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,3,1,4,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,1,3,4,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,4,3,2,1,7]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,3,2,1,7]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,6,3,2,1,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,5,3,4,2,1,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,3,6,2,1,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,5,6,2,1,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,6,2,1,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,2,3,1,7]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,6,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,5,6,2,3,1,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,3,2,4,1,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,5,2,3,4,1,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,2,3,5,1,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,3,2,4,5,1,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,4,3,2,6,1,7]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,5,2,6,1,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,4,2,3,6,1,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,5,2,3,6,1,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,3,2,4,6,1,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,3,4,6,1,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,4,2,5,6,1,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,4,5,6,1,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,4,5,6,1,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,5,4,3,1,2,7]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,4,5,3,1,2,7]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,3,4,1,2,7]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,4,5,1,2,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,4,3,6,1,2,7]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,3,6,1,2,7]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,4,6,1,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,3,5,6,1,2,7]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,6,1,2,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,2,1,3,7]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,6,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,5,6,2,1,3,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,4,1,2,3,7]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,1,2,3,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,6,1,2,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,5,3,2,1,4,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,2,3,1,4,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,2,1,3,4,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,1,2,3,4,7]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,3,2,1,5,7]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,4,2,1,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,4,2,3,1,5,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,3,2,4,1,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,2,3,4,1,5,7]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,3,1,2,5,7]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,4,1,2,5,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,4,2,1,3,5,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,4,1,2,3,5,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,2,1,4,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,1,2,3,4,5,7]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,3,2,1,6,7]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,3,2,1,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,5,2,1,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,2,1,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,2,3,1,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,3,4,1,6,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,3,5,1,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,4,5,1,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,3,4,1,2,6,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,4,5,1,2,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,2,1,3,6,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,4,1,2,3,6,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,1,2,3,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,2,1,4,6,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,1,2,4,6,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,1,3,4,6,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,2,3,4,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,2,1,5,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,2,1,5,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,3,1,5,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,4,1,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,4,1,2,5,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,1,3,5,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,1,2,3,5,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,1,4,5,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,1,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,1,2,4,5,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,3,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,3,2,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,4,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,3,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,3,2,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,6,3,2,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,6,3,2,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,7,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,7,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,3,2,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,4,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,4,2,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,3,5,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,3,5,2,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,4,5,2,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,3,6,2,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,4,5,6,2,1,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,3,7,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,6,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,2,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,2,3,1,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,2,3,1,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,2,3,1,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,7,4,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,2,3,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,5,2,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,4,6,2,3,1,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,4,7,2,3,1,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,7,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,2,3,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,2,4,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,3,2,4,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,2,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,2,3,4,1,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,2,3,4,1,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,2,3,4,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,2,3,4,1,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,3,4,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,3,2,5,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,3,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,4,2,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,3,5,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,2,3,5,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,2,4,5,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,2,4,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,3,4,5,1,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,3,4,5,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,3,2,6,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,3,2,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,4,2,6,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,3,5,2,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,2,3,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,3,2,4,6,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,2,3,5,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,4,5,6,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,3,2,7,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,4,2,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,5,2,7,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,6,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,2,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,6,2,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,6,2,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,2,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,2,3,7,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,3,2,4,7,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,3,5,7,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,4,5,7,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,4,5,7,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,2,6,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,6,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,3,6,7,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,3,6,7,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,4,6,7,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,5,6,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,6,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,6,7,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,6,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,6,7,1,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,3,1,2,8]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,3,1,2,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,3,1,2,8]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,5,3,1,2,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,7,3,1,2,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,3,1,2,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,4,1,2,8]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,3,4,1,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,4,5,1,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,3,7,1,2,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,3,7,1,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,4,7,1,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,5,7,1,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,5,6,7,1,2,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,1,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,2,1,3,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,7,4,2,1,3,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,2,1,3,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,4,6,2,1,3,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,6,7,2,1,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,2,1,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,1,2,3,8]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,4,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,5,6,1,2,3,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,4,7,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,7,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,1,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,2,1,4,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,2,3,1,4,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,3,1,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,2,1,3,4,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,2,1,3,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,2,1,3,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,7,2,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,1,2,3,4,8]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,3,2,1,5,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,3,2,1,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,4,2,1,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,4,2,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,3,1,5,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,2,3,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,2,4,1,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,2,4,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,3,4,1,5,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,3,4,1,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,4,3,1,2,5,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,4,1,2,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,1,3,5,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,2,1,4,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,2,1,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,3,1,4,5,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,3,1,4,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,1,2,4,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,2,3,4,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,4,3,2,1,6,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,3,2,1,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,5,2,1,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,5,2,1,6,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,2,3,1,6,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,3,2,4,1,6,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,3,4,1,6,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,2,3,5,1,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,4,5,1,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,3,1,2,6,8]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,2,1,3,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,5,1,2,3,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,2,1,4,6,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,3,1,4,6,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,2,4,6,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,1,2,3,4,6,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,2,1,5,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,4,1,5,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,1,2,5,6,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,1,2,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,2,3,5,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,1,4,5,6,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,1,4,5,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,2,4,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,3,4,5,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,2,1,7,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,2,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,4,2,1,7,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,2,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,5,2,1,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,6,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,2,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,2,3,1,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,2,4,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,3,4,1,7,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,3,4,1,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,2,5,1,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,4,5,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,2,6,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,6,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,2,6,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,6,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,4,6,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,6,1,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,5,6,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,6,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,6,1,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,6,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,6,1,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,1,2,7,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,3,1,2,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,4,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,5,1,2,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,6,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,6,1,2,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,1,2,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,2,1,3,7,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,5,2,1,3,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,6,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,2,1,3,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,1,2,3,7,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,2,1,4,7,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,2,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,1,3,4,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,2,1,5,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,4,2,1,5,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,1,2,5,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,2,1,3,5,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,1,2,3,5,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,1,4,5,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,2,4,5,7,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,2,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,2,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,3,1,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,3,1,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,4,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,5,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,1,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,1,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,2,6,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,1,2,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,2,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,1,3,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,1,3,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,3,6,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,1,4,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,1,4,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,2,4,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,3,4,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,3,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,1,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,1,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,2,5,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,3,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,3,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,8,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,8,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,8,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,5,8,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,8,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,4,8,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,6,8,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,8,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,7,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,6,5,4,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,8,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,8,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,8,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,5,8,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,6,8,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,7,8,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,8,7,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,8,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,7,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,8,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,8,7,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,7,8,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,7,8,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,8,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,8,7,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,8,7,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,8,7,2,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,8,7,2,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,4,3,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,5,3,8,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,6,3,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,6,4,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,6,5,8,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,6,5,8,2,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,5,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,7,6,8,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,7,6,8,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,6,8,2,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,7,8,2,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,7,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,5,7,8,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,6,7,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,7,6,5,4,3,1]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,8,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,8,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,8,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,5,8,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,7,8,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,7,6,5,3,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,8,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,8,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,8,7,6,3,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,7,8,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,5,7,8,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,5,4,8,7,3,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,4,8,7,3,1]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,5,8,7,3,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,6,8,7,3,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,4,8,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,7,4,8,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,7,5,8,3,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,7,6,8,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,4,7,8,3,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,4,7,8,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,5,7,8,3,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,6,7,8,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,6,7,8,3,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,7,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,7,8,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,8,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,7,8,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,7,5,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,7,6,8,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,6,7,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,7,6,5,4,1]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,6,7,8,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,8,7,6,4,1]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,7,8,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,6,5,8,7,4,1]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,6,8,7,4,1]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,6,5,8,4,1]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,7,6,8,4,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,6,7,8,4,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,8,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,7,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,6,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,8,7,6,5,1]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,7,8,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,8,7,6,5,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,6,8,7,5,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,7,8,5,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,8,7,6,5,1]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,7,8,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,8,7,6,5,1]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,7,8,6,5,1]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,8,7,5,1]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,6,8,5,1]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,7,8,5,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,8,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,2,7,8,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,7,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,2,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,8,7,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,3,7,8,6,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,5,3,8,7,6,1]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,3,7,8,6,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,5,4,7,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,4,8,7,6,1]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,4,7,8,6,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,5,7,8,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,8,7,6,1]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,8,7,6,1]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,7,8,6,1]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,2,8,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,5,3,2,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,3,2,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,2,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,2,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,2,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,5,2,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,6,2,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,2,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,2,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,5,4,3,8,7,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,5,3,8,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,6,3,8,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,6,4,8,7,1]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,6,5,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,5,8,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,6,5,8,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,6,5,8,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,5,8,7,1]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,6,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,6,8,7,1]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,3,6,8,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,4,6,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,5,6,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,3,5,6,8,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,6,8,7,1]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,4,3,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,5,3,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,5,3,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,7,3,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,6,4,2,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,7,4,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,6,5,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,7,5,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,6,5,2,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,5,2,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,7,6,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,7,6,2,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,5,7,6,2,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,3,7,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,4,7,2,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,7,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,5,7,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,5,7,2,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,6,7,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,7,4,3,8,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,7,5,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,6,7,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,6,5,4,8,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,7,5,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,7,6,4,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,5,7,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,6,7,4,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,6,5,4,8,1]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,7,6,4,8,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,6,7,4,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,7,6,5,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,6,7,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,7,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,7,5,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,7,6,5,8,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,7,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,6,5,8,1]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,7,5,8,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,7,6,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,7,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,2,7,6,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,7,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,7,6,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,5,4,7,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,4,7,6,8,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,2,5,7,6,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,7,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,4,5,7,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,7,6,8,1]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,2,7,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,2,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,5,2,7,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,6,2,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,4,3,7,8,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,4,3,7,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,5,3,7,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,6,3,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,6,4,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,6,5,7,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,5,7,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,6,5,7,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,4,6,5,7,8,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,2,6,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,3,6,7,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,3,6,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,4,6,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,4,6,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,5,6,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,8,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,8,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,5,8,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,6,8,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,7,8,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,7,8,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,7,6,5,3,2]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,8,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,8,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,7,8,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,8,7,6,3,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,5,8,7,3,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,5,4,8,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,7,6,5,8,3,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,5,8,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,5,4,7,8,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,4,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,6,7,8,3,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,7,6,5,4,2]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,7,8,6,5,4,2]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,8,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,7,8,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,5,8,7,6,4,2]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,7,8,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,6,8,7,4,2]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,7,5,8,4,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,5,7,8,4,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,8,7,6,5,2]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,7,8,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,6,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,6,7,8,5,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,4,8,7,6,5,2]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,6,7,8,5,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,4,3,8,7,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,3,8,7,6,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,4,8,7,6,2]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,5,8,7,6,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,5,8,7,6,2]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,5,4,3,8,7,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,4,3,8,7,2]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,6,5,3,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,6,3,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,5,4,8,7,2]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,3,6,5,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,3,6,8,7,2]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,5,4,3,8,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,5,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,7,4,3,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,6,7,5,3,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,4,7,3,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,6,5,7,3,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,6,7,3,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,5,6,7,4,8,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,4,7,6,5,8,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,4,3,6,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,8,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,8,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,6,8,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,7,8,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,8,7,6,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,7,8,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,5,8,7,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,8,7,4,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,6,5,8,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,7,5,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,7,6,8,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,5,7,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,7,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,7,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,7,8,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,8,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,7,8,5,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,4,8,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,4,7,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,4,5,8,7,6,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,5,7,8,6,3]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,6,5,4,8,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,4,8,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,6,5,8,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,4,6,8,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,6,8,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,6,5,4,8,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,7,5,4,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,7,6,4,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,5,7,4,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,7,4,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,7,6,5,8,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,7,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,4,7,6,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,6,4,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,4,6,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,6,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,7,6,5,4,3]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,7,8,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,8,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,7,8,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,8,7,6,4,3]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,8,7,4,3]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,7,6,8,4,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,5,7,8,4,3]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,8,7,6,5,3]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,7,8,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,7,8,5,3]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,4,8,7,6,3]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,4,5,8,7,6,3]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,6,5,4,8,7,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,6,5,8,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,4,6,8,7,3]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,5,4,8,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,6,7,4,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,7,6,5,8,3]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,5,4,7,8,3]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,7,8,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,6,8,7,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,7,6,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,6,7,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,5,8,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,5,7,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,6,5,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,5,6,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,7,6,5,8,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,6,7,5,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,5,7,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,6,5,7,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,5,6,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,8,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,7,8,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,6,8,7,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,7,6,8,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,6,7,8,5,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,5,7,8,6,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,6,5,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,7,6,5,8,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,6,7,5,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,5,7,6,8,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,5,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,8,7,6,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,6,7,8,5,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,5,8,7,6,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,7,6,5,8,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,3,8,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,7,8,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,6,8,7,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,6,7,8,5,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,6,5,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,5,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,8,7,6,5,4]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,7,8,5,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,8,7,6,4]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,7,6,5,8,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,1,7,8,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,6,8,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,7,6,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,6,7,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,1,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,1,7,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,1,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,1,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,1,7,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,1,6,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,1,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,1,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,7,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,6,8,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,2,8,7,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,2,6,8,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,2,7,6,8,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,4,2,8,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,7,6,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,7,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,6,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,8,7,6,5]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,1,4,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,4,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,4,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,4,7,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,4,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,4,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,4,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,8,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,4,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,4,7,6,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,3,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,4,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,4,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,8,7,6,5]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,1,8,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,2,1,7,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,1,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,4,2,1,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,2,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,1,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,3,1,7,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,5,3,1,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,3,1,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,5,4,1,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,4,1,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,4,1,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,5,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,5,1,7,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,1,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,3,5,1,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,5,1,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,4,5,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,1,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,1,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,3,2,8,7,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,3,2,7,8,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,3,2,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,4,2,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,4,5,2,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,5,4,3,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,3,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,4,5,3,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,1,3,5,4,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,5,4,7,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,2,1,5,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,1,5,7,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,3,1,5,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,1,5,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,4,3,5,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,5,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,4,5,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,3,4,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,5,3,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,3,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,2,1,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,2,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,5,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,5,2,1,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,6,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,6,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,2,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,5,4,3,1,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,4,3,1,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,5,3,1,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,6,5,4,1,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,6,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,5,4,1,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,6,4,1,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,6,5,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,5,1,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,6,5,1,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,3,2,6,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,6,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,5,2,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,6,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,6,1,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,3,6,1,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,4,6,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,5,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,6,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,3,5,6,1,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,5,6,1,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,5,4,3,2,8,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,4,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,6,5,4,2,8,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,6,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,4,6,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,6,5,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,6,5,4,8,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,5,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,3,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,5,6,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,1,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,1,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,1,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,1,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,3,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,1,6,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,1,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,1,6,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,5,2,1,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,1,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,1,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,3,1,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,4,1,6,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,4,1,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,5,1,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,5,1,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,3,2,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,4,2,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,5,4,3,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,3,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,4,3,6,8,7]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,5,4,6,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,1,5,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,1,5,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,4,3,5,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,4,5,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,4,3,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,5,3,2,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,5,3,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,6,3,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,3,2,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,7,3,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,6,4,2,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,7,4,2,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,6,5,2,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,6,5,2,1,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,7,6,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,7,6,2,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,5,4,7,2,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,7,2,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,5,7,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,4,3,1,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,5,4,3,1,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,6,4,3,1,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,6,7,4,3,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,7,5,3,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,7,6,3,1,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,6,4,7,3,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,6,7,3,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,6,7,3,1,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,6,5,4,1,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,7,5,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,7,6,4,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,5,7,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,6,7,4,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,6,5,4,1,8]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,7,5,4,1,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,7,6,4,1,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,6,5,7,4,1,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,6,7,4,1,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,6,7,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,7,6,5,1,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,7,5,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,6,7,5,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,6,5,1,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,7,5,1,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,7,6,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,7,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,2,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,7,6,1,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,4,7,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,2,5,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,7,6,1,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,7,6,1,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,2,7,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,2,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,5,2,7,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,6,2,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,6,3,7,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,6,3,7,1,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,5,4,7,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,6,4,7,1,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,6,5,7,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,5,7,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,6,5,7,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,4,6,5,7,1,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,2,6,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,3,6,7,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,4,6,7,1,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,5,6,7,1,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,6,5,3,2,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,5,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,4,7,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,6,7,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,5,6,7,4,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,4,7,6,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,6,3,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,4,3,6,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,7,6,5,4,3,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,7,5,4,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,7,4,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,4,6,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,6,7,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,5,4,3,8]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,7,6,4,3,8]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,6,7,4,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,6,5,4,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,5,7,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,6,5,7,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,7,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,5,7,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,5,6,7,4,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,7,6,5,4,8]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,5,7,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,2,6,5,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,3,6,7,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,7,6,5,4,8]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,1,7,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,6,7,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,6,7,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,7,6,5,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,3,6,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,1,4,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,4,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,1,7,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,1,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,1,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,5,2,1,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,1,7,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,5,3,1,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,5,4,1,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,4,1,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,2,5,1,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,3,5,1,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,4,5,1,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,3,2,7,6,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,4,2,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,3,5,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,5,4,3,7,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,1,5,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,5,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,2,1,5,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,1,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,1,4,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,1,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,2,1,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,5,2,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,6,5,3,1,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,6,3,1,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,5,4,1,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,6,4,1,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,6,5,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,6,5,1,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,4,6,5,1,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,2,6,1,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,4,6,1,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,4,3,2,7,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,6,3,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,3,6,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,5,6,4,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,6,5,3,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,6,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,5,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,6,5,4,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,5,6,4,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,1,6,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,1,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,1,6,5,7,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,2,1,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,3,1,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,3,1,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,4,1,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,4,1,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,5,1,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,3,2,6,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,5,4,3,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,5,4,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,3,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,1,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,5,7,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,6,5,7,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,6,7,5,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,7,5,6,8,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,8,6,5,7,3]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,4,8,6,7,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,7,4,5,6,8,3]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,4,6,7,5,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,8,4,7,6,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,5,4,6,3,8]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,5,4,6,8,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,5,4,6,7,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,5,4,7,6,3]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,5,6,4,7,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,5,6,7,4,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,6,5,4,7,3]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,6,5,7,4,3]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,7,5,6,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,8,6,7,5]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,2,7,5,6,8,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,2,8,5,7,6,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,8,6,5,7,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,8,6,7,5,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,8,6,7,5]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,6,4,5,2,8,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,4,5,8,7,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,7,4,5,6,2,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,4,5,6,8,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,4,5,6,7,2]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,8,4,6,5,7,2]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,8,4,6,7,5,2]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,8,5,4,6,7,2]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,5,4,7,6,2]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,5,6,7,4,2]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,5,7,6,4,2]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,6,5,7,4,2]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,7,5,6,4,2]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,4,3,2,8,6,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,3,5,8,6,7,2]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,8,5,6,7,2]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,8,5,7,6,2]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,8,6,5,7,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,3,8,6,7,5,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,3,4,2,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,4,6,2,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,4,8,6,7,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,4,6,7,5,2]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,4,7,6,5,2]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,5,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,5,4,8,7,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,3,5,4,6,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,5,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,5,6,7,4,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,5,7,6,4,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,6,5,4,2,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,6,5,4,8,2]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,3,6,5,4,7,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,7,5,6,4,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,7,6,5,4,2]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,3,5,2,7,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,3,5,8,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,4,3,5,6,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,3,5,7,6,2]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,3,6,5,8,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,3,6,5,7,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,3,6,7,5,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,4,5,3,2,7,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,5,3,2,8,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,5,3,8,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,5,3,6,8,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,5,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,5,6,3,8,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,5,6,3,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,5,6,7,3,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,6,5,3,2,8]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,6,5,3,7,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,6,5,7,3,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,7,6,5,3,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,4,3,6,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,4,3,6,8,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,5,4,3,6,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,6,3,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,6,7,3,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,7,6,3,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,6,4,5,3,7,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,4,5,7,3,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,4,5,6,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,4,6,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,5,4,3,7,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,5,4,7,3,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,5,4,6,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,5,6,4,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,4,8,6,7,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,3,5,8,6,7,4]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,8,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,8,5,7,6,4]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,8,6,5,7,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,8,6,7,5,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,8,6,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,5,8,6,7,3]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,8,5,6,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,8,5,7,6,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,8,6,5,7,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,8,6,7,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,5,4,8,6,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,4,5,7,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,4,5,8,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,8,4,5,6,7,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,4,5,7,6,3]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,4,6,5,8,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,4,6,5,7,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,8,4,6,7,5,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,8,4,7,6,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,5,4,6,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,5,6,4,8,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,5,6,4,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,5,6,7,4,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,5,7,6,4,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,6,5,4,7,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,6,5,7,4,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,7,5,6,4,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,7,5,6,4,8]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,8,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,8,6,7,5,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,8,6,7,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,8,6,7,1]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,7,5,6,1,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,5,6,8,1]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,8,5,6,7,1]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,5,7,6,1]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,6,5,7,1]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,6,7,5,1]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,5,4,8,6,7,1]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,4,5,1,7,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,4,5,1,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,4,5,8,7,1]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,4,5,6,8,1]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,4,5,6,7,1]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,7,4,6,5,8,1]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,4,6,7,5,1]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,7,5,4,6,1,8]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,7,5,4,6,8,1]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,5,4,6,7,1]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,5,6,4,1,8]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,7,5,6,4,8,1]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,5,6,4,7,1]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,5,6,7,4,1]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,5,7,6,4,1]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,6,5,4,7,1]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,5,8,6,7,1]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,7,5,6,8,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,8,5,6,7,1]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,8,5,7,6,1]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,8,6,5,7,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,4,1,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,4,1,8,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,4,6,7,1,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,4,6,7,8,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,4,6,8,7,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,4,7,6,8,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,3,4,8,6,7,1]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,4,8,7,6,1]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,4,5,1,7,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,4,5,7,8,1]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,4,5,8,7,1]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,3,4,5,6,1,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,4,5,6,7,1]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,3,4,5,7,6,1]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,3,5,4,1,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,5,4,8,7,1]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,5,4,7,6,1]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,3,5,6,4,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,5,6,7,4,1]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,5,7,6,4,1]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,3,6,5,4,1,8]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,7,5,6,4,1]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,7,6,5,4,1]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,8,6,7,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,3,5,1,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,3,5,8,7,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,4,3,5,6,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,5,6,7,1]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,3,5,7,6,1]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,6,5,7,1]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,3,6,7,5,1]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,3,7,6,5,1]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,5,3,1,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,4,5,3,6,7,1]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,5,6,3,1,8]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,5,6,3,7,1]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,5,6,7,3,1]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,6,5,3,1,8]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,6,5,3,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,6,5,3,7,1]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,7,6,5,3,1]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,5,4,3,6,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,3,6,7,1]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,4,3,7,6,1]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,5,4,6,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,6,7,3,1]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,4,7,6,3,1]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,7,4,5,6,3,1]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,4,6,5,3,1]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,4,6,3,1]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,6,4,3,1]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,4,8,6,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,1,5,8,6,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,7,5,6,4,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,7,5,6,8,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,8,5,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,5,7,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,6,5,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,6,7,5,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,8,6,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,8,6,7,1]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,7,5,6,8,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,8,5,6,7,1]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,8,6,7,5,1]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,4,8,6,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,4,5,1,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,4,5,1,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,4,5,6,1,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,4,5,6,7,1]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,7,4,6,5,1,8]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,4,6,5,8,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,4,6,5,7,1]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,7,5,4,6,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,8,5,4,6,7,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,5,4,7,6,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,5,6,4,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,5,6,4,8,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,8,5,6,4,7,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,5,7,6,4,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,6,5,7,4,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,7,5,6,4,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,1,5,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,3,1,5,7,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,3,1,5,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,1,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,6,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,6,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,7,6,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,7,6,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,3,1,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,1,6,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,6,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,6,8,7,1]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,8,7,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,6,5,8,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,7,5,6,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,7,5,6,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,8,5,6,7,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,8,5,7,6,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,7,6,5,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,8,7,6,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,4,1,6,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,1,7,8,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,4,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,6,1,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,7,6,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,4,8,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,8,7,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,4,5,1,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,4,5,8,7,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,4,5,7,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,3,4,6,5,1,8]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,5,4,1,7,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,5,4,1,8,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,5,4,7,1,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,5,4,7,8,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,3,5,4,6,1,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,5,6,4,1,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,5,6,7,4,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,5,7,6,4,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,6,5,4,1,8]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,6,5,4,7,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,7,5,6,4,1]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,4,3,1,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,1,6,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,1,7,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,4,3,1,8,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,6,1,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,6,1,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,6,7,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,7,6,1,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,4,3,7,6,8,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,4,3,8,7,6,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,3,5,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,3,6,5,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,3,6,5,8,1]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,4,3,6,7,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,2,4,5,3,1,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,5,3,6,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,5,3,6,8,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,4,5,3,7,6,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,5,6,7,3,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,5,7,6,3,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,6,5,3,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,6,5,3,8,1]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,4,7,5,6,3,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,7,6,5,3,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,5,4,3,1,7,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,4,3,1,8,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,4,3,7,1,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,4,3,7,8,1]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,4,3,6,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,4,3,6,7,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,5,4,3,7,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,5,4,6,3,8,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,4,7,6,3,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,6,4,5,3,1,8]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,6,4,5,3,8,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,6,4,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,7,4,5,6,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,7,4,6,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,6,5,4,3,8,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,5,4,7,3,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,5,4,6,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,7,5,6,4,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,7,6,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,1,8,6,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,7,5,6,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,8,5,6,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,8,5,7,6,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,8,6,7,5,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,4,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,4,1,7,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,4,1,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,4,6,1,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,4,7,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,2,4,6,7,5,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,5,4,1,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,4,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,4,7,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,4,7,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,4,8,7,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,5,4,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,5,6,4,8,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,2,5,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,5,6,7,4,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,5,7,6,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,6,5,7,4,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,7,5,6,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,2,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,2,1,7,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,4,2,1,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,2,6,1,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,2,7,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,4,2,7,6,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,4,2,8,6,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,2,5,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,2,6,5,1,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,2,6,5,8,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,2,6,5,7,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,4,5,2,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,5,2,8,7,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,5,2,7,6,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,5,7,6,2,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,7,6,5,2,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,4,2,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,2,7,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,2,7,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,2,8,7,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,4,2,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,4,2,6,7,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,5,4,2,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,4,6,2,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,4,6,2,8,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,4,6,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,5,4,7,6,2,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,6,4,5,2,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,4,5,2,8,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,4,5,2,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,4,5,6,2,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,4,6,5,2,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,5,4,2,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,5,4,2,8,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,5,4,2,7,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,5,4,6,2,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,5,6,4,2,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,6,5,4,2,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,8,6,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,3,2,5,1,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,2,5,8,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,2,6,5,8,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,2,6,7,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,2,7,6,5,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,5,2,1,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,5,2,7,6,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,6,5,2,1,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,6,5,2,8,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,7,5,6,2,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,7,6,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,4,2,1,8,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,4,2,7,6,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,4,7,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,4,6,5,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,5,4,2,1,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,5,4,2,8,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,5,4,7,2,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,5,6,4,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,6,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,4,3,2,7,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,3,7,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,6,5,3,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,3,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,3,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,3,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,6,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,6,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,3,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,3,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,3,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,3,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,3,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,3,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,3,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,3,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,3,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,1,3,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,3,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,3,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,1,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,7,8,3,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,7,8,3,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,8,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,7,3,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,7,3,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,7,3,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,7,8,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,7,8,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,1,8,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,8,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,5,3,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,1,3,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,1,7,3,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,3,5,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,5,3,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,1,3,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,1,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,5,7,8,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,1,7,8,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,7,1,8,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,7,8,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,8,3,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,8,3,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,1,3,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,5,8,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,3,8,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,5,8,3,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,8,3,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,1,8,3,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,3,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,1,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,1,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,5,6,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,6,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,1,6,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,1,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,8,1,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,1,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,6,3,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,1,6,3,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,1,3,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,6,7,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,1,7,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,7,1,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,6,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,1,6,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,1,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,7,8,1,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,3,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,3,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,3,6,8,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,3,6,8,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,3,8,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,8,3,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,8,3,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,8,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,3,6,4,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,3,4,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,3,4,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,3,6,7,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,3,7,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,3,7,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,3,7,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,7,3,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,7,3,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,7,3,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,3,6,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,3,6,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,3,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,3,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,3,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,7,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,7,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,7,1,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,7,8,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,3,7,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,1,3,7,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,1,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,3,7,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,1,3,7,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,7,8,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,1,7,8,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,1,8,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,8,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,7,3,4,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,5,1,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,7,1,4,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,1,7,4,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,7,1,4,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,5,7,8,4,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,7,1,8,4,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,7,8,1,4,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,5,3,8,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,3,8,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,8,3,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,8,3,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,1,4,8,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,5,8,4,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,1,8,4,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,8,1,4,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,3,4,6,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,1,6,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,1,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,5,6,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,5,6,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,1,6,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,1,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,8,1,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,3,4,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,3,4,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,1,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,1,4,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,1,7,4,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,7,1,4,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,1,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,7,1,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,7,8,1,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,6,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,7,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,7,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,7,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,7,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,7,3,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,1,3,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,1,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,8,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,7,3,4,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,1,3,4,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,4,7,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,4,7,5,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,4,7,5,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,4,7,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,4,7,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,6,7,4,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,6,7,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,7,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,7,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,7,1,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,7,8,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,8,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,8,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,8,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,8,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,4,8,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,4,8,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,6,4,8,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,4,8,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,4,8,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,8,4,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,8,4,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,6,4,5,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,4,5,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,1,6,8,5,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,1,8,5,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,8,1,5,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,3,4,5,7,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,6,4,5,7,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,6,4,5,7,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,4,5,7,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,6,1,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,1,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,7,1,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,1,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,7,8,1,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,3,8,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,3,8,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,8,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,8,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,3,4,8,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,7,4,8,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,7,4,8,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,1,4,8,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,7,8,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,7,8,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,8,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,7,4,5,8,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,1,4,5,8,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,4,7,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,7,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,1,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,4,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,4,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,1,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,8,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,3,4,5,6,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,3,4,5,6,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,1,4,5,6,8]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,4,7,5,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,4,7,5,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,1,7,5,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,1,5,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,5,7,1,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,7,1,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,7,8,1,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,4,5,6,7]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,8,4,5,6,7]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,1,4,5,6,7]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,4,8,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,4,8,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,8,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,1,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,1,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,1,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,8,1,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,6,8,1,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,2,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,2,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,2,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,2,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,2,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,8,2,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,8,2,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,6,5,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,6,5,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,6,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,6,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,2,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,2,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,7,2,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,1,2,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,6,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,6,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,2,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,2,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,2,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,7,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,7,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,7,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,1,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,1,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,8,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,7,2,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,1,2,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,1,8,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,8,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,7,5,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,7,5,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,5,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,2,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,2,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,7,2,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,1,2,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,2,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,1,2,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,2,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,2,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,7,2,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,7,2,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,1,2,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,1,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,8,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,2,8,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,2,8,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,2,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,8,2,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,1,2,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,2,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,2,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,2,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,2,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,8,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,8,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,8,1,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,2,5,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,2,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,1,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,1,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,8,1,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,2,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,2,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,6,2,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,6,2,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,6,7,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,6,7,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,6,7,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,1,7,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,6,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,5,6,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,6,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,1,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,1,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,5,2,6,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,2,6,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,2,6,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,2,6,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,8,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,8,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,8,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,8,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,2,4,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,2,4,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,2,4,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,2,6,7,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,2,7,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,2,7,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,7,2,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,7,2,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,1,2,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,2,6,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,2,6,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,2,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,2,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,2,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,7,2,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,7,2,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,7,2,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,1,2,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,8,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,2,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,2,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,7,2,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,2,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,2,7,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,2,7,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,7,8,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,7,8,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,8,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,2,7,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,2,7,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,7,2,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,7,2,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,2,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,2,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,2,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,5,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,2,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,2,5,7,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,5,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,2,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,2,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,1,2,4,7,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,5,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,2,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,2,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,8,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,5,2,8,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,2,8,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,8,2,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,8,2,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,2,4,8,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,2,4,8,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,2,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,5,8,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,5,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,8,2,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,2,4,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,5,4,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,5,2,4,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,2,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,5,6,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,5,2,6,8,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,2,8,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,8,2,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,2,4,6,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,5,2,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,5,6,7,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,5,2,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,7,2,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,5,6,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,7,2,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,6,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,7,2,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,1,2,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,7,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,7,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,7,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,8,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,7,2,4,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,1,2,4,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,4,7,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,4,7,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,2,6,4,7,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,2,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,2,4,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,4,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,2,6,4,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,2,4,7,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,2,6,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,2,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,7,2,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,2,6,7,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,6,7,8,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,2,7,8,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,7,8,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,2,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,8,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,8,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,2,6,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,2,4,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,4,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,2,6,4,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,2,4,5,8,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,2,4,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,6,2,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,4,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,6,8,5,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,6,8,2,5,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,6,2,4,5,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,4,5,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,4,6,2,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,4,6,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,6,2,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,4,6,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,7,2,8,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,2,8,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,7,8,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,8,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,7,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,7,8,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,2,8,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,8,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,2,4,5,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,2,4,5,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,2,4,5,8,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,4,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,7,2,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,4,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,2,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,7,8,2,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,7,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,7,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,4,7,5,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,7,2,5,6,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,4,5,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,7,2,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,2,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,8,2,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,2,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,8,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,8,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,2,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,8,2,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,2,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,8,2,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,5,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,6,8,2,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,6,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,6,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,2,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,2,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,2,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,8,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,6,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,6,7,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,2,7,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,2,7,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,7,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,7,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,7,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,6,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,6,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,2,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,2,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,7,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,7,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,7,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,1,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,7,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,7,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,7,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,1,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,7,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,7,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,7,2,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,7,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,7,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,8,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,7,3,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,7,3,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,3,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,3,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,5,3,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,5,7,3,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,2,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,7,2,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,5,2,3,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,5,3,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,5,7,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,7,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,2,7,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,7,2,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,5,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,7,8,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,5,2,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,8,2,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,3,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,3,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,5,3,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,2,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,5,3,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,6,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,6,8,3,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,2,6,8,3,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,6,8,2,3,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,2,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,5,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,6,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,6,2,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,6,7,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,6,2,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,6,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,6,2,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,6,7,8,2,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,2,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,7,2,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,1,2,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,7,8,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,7,2,8,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,1,2,8,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,7,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,7,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,8,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,2,7,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,7,2,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,7,2,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,1,2,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,2,3,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,3,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,6,3,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,6,7,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,6,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,2,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,2,3,7,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,6,3,7,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,2,3,7,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,6,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,6,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,2,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,8,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,8,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,8,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,2,3,8,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,3,8,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,6,3,8,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,8,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,2,3,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,3,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,6,3,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,6,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,3,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,6,8,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,6,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,3,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,8,3,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,2,3,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,3,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,6,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,3,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,6,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,6,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,3,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,6,7,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,6,7,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,6,7,8,3,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,7,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,8,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,8,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,2,3,8,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,3,8,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,7,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,8,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,7,2,3,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,3,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,7,3,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,7,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,7,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,7,3,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,7,8,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,7,3,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,7,8,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,7,2,3,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,3,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,7,3,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,7,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,7,3,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,5,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,4,5,7,3,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,3,5,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,4,5,7,3,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,8,2,3,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,8,3,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,3,5,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,5,3,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,3,5,6,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,5,6,8,3,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,7,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,2,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,2,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,2,7,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,2,3,7,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,3,7,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,6,7,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,7,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,2,3,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,3,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,3,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,3,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,3,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,6,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,6,7,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,7,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,7,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,7,2,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,2,8,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,8,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,8,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,2,3,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,3,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,3,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,6,8,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,2,3,4,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,3,4,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,3,4,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,3,6,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,6,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,2,3,6,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,6,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,6,3,8,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,8,3,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,6,2,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,3,6,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,2,3,6,7,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,6,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,2,3,6,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,6,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,6,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,7,3,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,2,8,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,2,8,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,2,3,8,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,2,3,8,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,7,3,8,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,2,7,8,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,8,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,2,3,4,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,2,3,4,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,7,3,4,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,2,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,2,3,7,4,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,7,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,3,7,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,7,3,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,2,3,7,8,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,7,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,3,7,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,7,8,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,7,2,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,2,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,7,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,3,5,7,4,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,2,3,4,7,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,4,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,3,4,7,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,3,5,7,4,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,3,8,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,2,3,4,8,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,5,8,4,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,3,4,6,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,4,6,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,4,6,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,5,6,8,4,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,7,2,8,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,8,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,8,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,3,8,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,3,8,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,3,8,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,7,8,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,2,3,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,3,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,3,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,2,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,3,7,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,7,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,7,3,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,3,7,8,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,7,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,7,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,7,3,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,7,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,3,7,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,3,4,7,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,3,4,7,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,4,7,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,4,7,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,7,8,4,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,8,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,3,8,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,3,4,8,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,3,4,5,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,4,6,8,5,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,8,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,8,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,3,4,8,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,2,3,4,5,8,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,5,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,5,2,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,6,2,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,5,1,3,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,1,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,7,2,1,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,6,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,6,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,8,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,8,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,4,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[8,7,6,5,4,3,2,1,10,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,7,6,5,4,3,2,10,1,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,4,3,2,1,10,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,3,2,1,10,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,1,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,10,8,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,2,5,1,4,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,1,3,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,6,1,4,5,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,1,3,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,1,2,4,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,1,3,5,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,5,1,2,4,7,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,1,2,4,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,1,2,3,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,7,1,3,4,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,1,2,4,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,1,2,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,1,2,4,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,1,2,4,5,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,1,2,3,5,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,1,4,5,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,1,3,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,8,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,8,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,1,3,5,6,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,5,1,2,4,6,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,1,2,4,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,1,2,4,5,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,1,2,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,7,1,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,5,7,1,3,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,4,7,1,3,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,7,1,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,7,1,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,7,1,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,8,1,4,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,8,1,3,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,5,8,1,2,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,4,8,1,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,8,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,8,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,8,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,4,8,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,8,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,8,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,8,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,8,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,8,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,8,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,8,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,7,8,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,8,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,8,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,4,8,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,8,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,8,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,5,8,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,8,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,6,1,2,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,5,6,1,2,4,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,4,7,1,3,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,5,7,1,3,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,7,1,2,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,7,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,7,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,2,5,1,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,3,5,1,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,1,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,5,1,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,3,5,1,2,6,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,4,1,3,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,6,1,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,6,1,2,5,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,6,1,3,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,5,1,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,2,5,1,3,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,6,1,4,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,2,7,1,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,1,3,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,7,1,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,6,1,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,6,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,5,1,4,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,4,1,3,7,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,7,1,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,7,1,4,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,7,1,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,7,1,3,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,7,1,2,5,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,7,1,3,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,7,1,2,4,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,5,1,4,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,2,5,1,3,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,2,6,1,4,5,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,6,1,3,5,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,3,6,1,2,5,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,6,1,3,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,6,1,2,4,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,5,1,2,4,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,8,1,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,8,1,4,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,8,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,8,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,8,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,8,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,8,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,8,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,8,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,3,8,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,8,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,8,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,8,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,5,1,4,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,5,1,3,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,6,1,4,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,1,3,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,3,6,1,2,4,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,1,3,5,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,2,5,1,3,4,7]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,7,1,4,5,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,7,1,3,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,7,1,2,5,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,2,7,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,7,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,7,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,2,4,1,3,5,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,2,5,1,3,4,6]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,5,1,2,4,6]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,2,6,1,3,4,5]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,6,1,2,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,6,1,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,5,8,1,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,8,1,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,5,8,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,5,8,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,4,8,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,4,8,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,6,8,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,6,8,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,6,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,3,4,8,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,5,8,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,2,5,7,1,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,5,7,1,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,6,7,1,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,2,6,8,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,8,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,6,8,1,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,6,8,1,2,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,2,5,8,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,5,8,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,4,8,1,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,7,8,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,7,8,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,2,7,8,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,3,7,8,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,2,7,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,7,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,7,8,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,5,8,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,3,5,8,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,6,8,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,6,8,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,2,4,8,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,5,8,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,5,7,1,4,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,5,7,1,3,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,4,7,1,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,6,7,1,4,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,7,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,6,7,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,7,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,2,5,7,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,5,7,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,2,4,6,1,3,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,4,6,1,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,5,6,1,3,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,7,2,6,1,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,2,6,1,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,2,6,1,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,7,2,5,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,2,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,3,5,1,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,6,2,5,1,4,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,8,2,6,1,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,8,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,8,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,8,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,7,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,7,1,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,8,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,8,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,8,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,2,5,1,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,2,5,1,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,6,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,2,5,1,4,6]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,3,5,1,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,2,6,1,4,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,2,6,1,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,3,6,1,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,7,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,7,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,3,2,7,1,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,2,7,1,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,2,7,1,4,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,2,7,1,3,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,3,2,6,1,4,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,2,6,1,3,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,3,2,8,1,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,2,8,1,4,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,2,8,1,3,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,8,1,2,7]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,3,2,8,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,2,8,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,2,8,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,3,8,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,2,8,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,2,6,1,4,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,2,6,1,3,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,3,2,5,1,4,7]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,5,2,4,1,3,7]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,3,2,7,1,4,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,2,7,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,4,3,7,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,3,2,5,1,4,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,2,6,1,4,5]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,2,6,1,3,5]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,3,6,1,2,5]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,2,6,1,3,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,3,6,1,2,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,6,2,4,1,3,5]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,2,5,1,3,4]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,5,1,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,3,8,2,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,3,8,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,8,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,3,8,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,8,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,8,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,8,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,8,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,5,8,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,7,2,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,7,2,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,7,2,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,4,7,3,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,7,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,4,7,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,4,7,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,7,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,3,6,2,5,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,6,2,5,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,6,3,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,6,2,4,1,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,4,3,2,8,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,2,8,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,3,2,7,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,3,2,6,1,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,3,2,6,1,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,4,2,6,1,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,6,3,2,5,1,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,4,2,5,1,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,5,2,4,1,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,4,7,5,6]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,6,4,5,7]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,7,4,5,6]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,6,4,8,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,3,8,7,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,6,7,4,5]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,8,3,7,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,5,3,4,8,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,6,3,4,5,7]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,2,6,3,4,8,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,5,3,8,4,7]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,5,3,7,4,6]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,6,3,7,4,5]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,2,5,3,7,8,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,8,6,3,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,8,7,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,7,6,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,5,6,3,4,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,5,7,3,4,6]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,7,6,3,4,5]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,5,6,3,8,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,8,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,8,6,7,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,5,6,7,3,4]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,2,4,7,5,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,2,6,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,2,7,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,7,2,6,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,2,8,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,2,6,7,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,2,3,5,6,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,3,5,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,2,3,8,5,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,2,3,7,5,6]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,2,3,7,8,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,2,3,4,6,7]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,2,3,4,8,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,2,3,4,5,6]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,2,3,8,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,2,3,7,4,6]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,2,3,7,8,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,2,8,3,6,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,2,7,3,8,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,2,7,3,5,6]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,6,3,8,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,2,6,3,4,7]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,2,7,3,4,6]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,5,2,6,3,8,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,2,6,8,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,2,8,7,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,2,6,7,3,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,2,6,7,3,4]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,2,6,7,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,2,7,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,5,2,4,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,5,2,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,8,6,2,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,6,2,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,5,2,7,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,6,2,7,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,5,2,7,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,5,2,3,6,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,5,2,3,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,6,2,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,4,8,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,6,2,3,8,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,6,5,2,3,8,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,5,2,8,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,5,2,7,3,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,6,2,7,3,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,6,5,2,7,3,4]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,5,2,7,8,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,8,6,2,5,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,7,2,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,7,6,2,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,5,6,2,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,5,7,2,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,7,6,2,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,7,5,6,2,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,5,7,2,3,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,7,6,2,3,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,5,6,2,3,4]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,4,5,6,2,8,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,4,5,8,7,2,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,6,7,2,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,5,6,7,2,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,5,6,7,2,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,3,4,7,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,3,6,4,5,7]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,3,7,4,5,6]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,1,3,6,4,8,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,3,8,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,3,6,7,4,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,8,3,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,5,3,4,6,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,1,6,3,4,5,7]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,6,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,5,3,8,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,5,3,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,3,7,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,8,6,3,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,8,7,3,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,7,6,3,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,1,5,6,3,4,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,5,7,3,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,7,6,3,4,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,1,5,6,3,8,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,5,8,7,3,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,8,6,7,3,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,1,5,6,7,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,2,4,5,8,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,2,4,8,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,2,4,7,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,2,8,4,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,2,7,4,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,1,2,6,4,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,2,7,4,5,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,2,6,4,8,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,2,6,8,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,2,8,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,2,6,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,1,2,6,7,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,2,3,5,8,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,2,3,8,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,2,3,7,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,2,3,7,8,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,2,3,4,8,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,3,7,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,8,3,6,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,7,3,8,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,1,2,6,3,5,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,2,6,3,8,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,1,2,6,3,4,5]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,2,6,3,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,6,8,3,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,8,7,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,2,6,7,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,1,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,6,7,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,8,2,5,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,7,2,5,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,6,2,8,5,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,8,2,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,6,2,7,8,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,5,2,4,6,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,5,2,4,8,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,1,6,2,4,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,8,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,6,2,4,8,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,5,2,8,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,6,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,5,2,7,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,5,2,3,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,5,2,3,8,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,6,2,3,5,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,1,8,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,6,2,3,8,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,6,2,3,4,5]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,5,2,3,8,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,5,2,8,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,5,2,7,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,6,2,7,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,1,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,5,2,7,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,1,5,8,2,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,5,7,2,8,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,8,6,2,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,8,7,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,7,6,2,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,5,6,2,4,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,5,7,2,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,7,6,2,4,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,5,6,2,8,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,1,5,6,2,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,7,6,2,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,5,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,5,6,2,8,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,5,6,8,2,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,8,6,7,2,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,1,5,6,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,5,6,7,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,1,5,6,7,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,1,4,7,5,6]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,1,6,4,5,7]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,1,7,4,5,6]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,7,1,6,4,8,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,1,8,7,4,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,1,6,7,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,1,3,5,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,1,3,5,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,4,1,3,8,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,4,1,3,7,5,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,1,3,7,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,5,1,3,4,6,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,5,1,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,7,1,3,4,5,6]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,5,1,3,8,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,1,3,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,1,3,7,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,1,8,3,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,1,7,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,4,1,6,3,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,1,7,3,5,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,1,6,3,4,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,1,7,3,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,1,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,1,6,3,8,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,1,6,8,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,1,8,7,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,1,6,7,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,5,1,6,7,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,1,6,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,1,2,5,8,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,1,2,8,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,1,2,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,1,2,7,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,1,2,4,8,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,7,1,2,4,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,1,2,8,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,1,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,1,2,7,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,1,2,3,8,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,1,2,3,8,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,1,2,3,8,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,1,2,8,3,7]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,2,7,3,6]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,2,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,1,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,1,2,7,8,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,1,8,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,1,7,2,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,4,1,6,2,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,4,1,7,2,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,4,1,6,2,8,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,1,6,2,4,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,5,1,7,2,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,8,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,1,6,2,8,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,4,1,6,2,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,1,7,2,3,6]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,1,6,2,8,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,1,6,8,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,1,8,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,5,1,6,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,1,6,7,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,1,6,7,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,8,1,7,5,6]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,5,1,4,6,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,5,1,4,8,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,6,1,4,5,7]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,6,1,4,8,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,5,1,8,4,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,8,5,1,7,4,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,6,1,7,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,5,1,3,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,5,1,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,6,1,3,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,4,8,1,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,6,1,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,5,1,3,4,7]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,5,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,8,6,1,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,5,1,8,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,4,5,1,7,3,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,6,1,7,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,6,5,1,7,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,5,1,7,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,4,5,1,2,8,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,6,1,2,8,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,5,1,2,4,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,8,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,8,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,5,1,2,8,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,5,1,2,8,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,4,5,1,8,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,5,1,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,6,1,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,5,1,7,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,4,5,1,7,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,8,6,1,5,7]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,7,1,5,6]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,7,6,1,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,5,6,1,4,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,5,7,1,4,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,7,6,1,4,5]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,7,5,6,1,8,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,5,6,1,3,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,5,7,1,3,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,7,6,1,3,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,7,5,6,1,3,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,4,5,7,1,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,7,6,1,2,5]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,5,6,1,2,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,4,5,6,1,8,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,5,8,7,1,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,6,7,1,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,5,6,7,1,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,5,6,7,1,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,2,3,4,5,6,9,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,3,4,5,9,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,2,3,4,5,8,6,7]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,3,4,5,8,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,2,3,4,7,5,6,8]=>[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,1,2,3,4,8,5,6,7]=>[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,1,2,3,4,7,9,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,1,2,3,4,9,8,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,2,3,4,7,8,5,6]=>[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,1,2,3,4,7,8,9,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,2,3,9,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,2,3,6,7,8,9,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,8,3,4,5,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,1,2,5,6,7,9,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[[.,.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,1,2,5,6,7,8,9,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,8,2,3,4,5,6,7]=>[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,7,2,3,4,5,9,6]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,8,9,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,4,5,6,9,2,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,4,5,6,7,9,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,4,5,6,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,9,1,3,4,5,6,7,8]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,5,1,3,6,7,8,9,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[2,9,1,8,3,4,5,6,7]=>[[.,.],[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,3,1,2,4,5,6,7,8]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,6,1,2,3,4,5,7,8]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,7,1,2,3,4,5,6,8]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,1,2,3,4,5,9,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,1,2,3,4,9,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,7,1,2,3,4,8,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,1,2,3,4,8,9,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,6,1,2,3,7,4,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,6,1,2,3,7,9,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,6,1,2,3,7,8,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,6,1,2,3,7,8,9,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,4,1,2,6,7,8,9,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,1,9,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,1,5,6,7,8,9,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,9,8,1,3,4,5,6,7]=>[[.,.],[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,9,8,1,7,3,4,5,6]=>[[.,.],[[[[.,[.,[.,[.,.]]]],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,3,4,1,2,5,6,7,8]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,8,4,1,2,3,5,9,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],[.,.]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[9,8,4,1,2,3,5,6,7]=>[[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[6,7,9,1,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,9,8,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,7,8,1,2,3,4,9,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,5,1,7,2,3,4,6]=>[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[9,8,4,5,1,2,3,6,7]=>[[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[7,8,9,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,9,1,8,6,7]=>[[.,.],[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,9,1,7,8]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,8,1,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,9,8,1,6,7]=>[[.,.],[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,3,4,5,6,7,1,2,8]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,4,5,6,7,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[2,3,4,5,6,7,9,1,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,9,8,1,7]=>[[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,5,2,6,1,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,6,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,7,4,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,7,2,3,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,7,2,3,8,1,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,6,2,3,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,2,1,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,6,4,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,1,3,2,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,1,2,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,2,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,2,8,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,3,8,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,3,8,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,3,8,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,3,1,8,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,1,3,8,2,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,5,7,4,8,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,7,4,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,1,7,4,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,7,1,3,8,6,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,1,8,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,3,8,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,1,8,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,7,8,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,7,8,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,7,8,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,1,7,8,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,2,1,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,7,2,8,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,2,8,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,7,8,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,8,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,8,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,7,1,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,2,1,7,8,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,7,8,6,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,2,7,8,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,8,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,8,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,2,8,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,2,8,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,7,2,1,8,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,7,1,2,8,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,7,2,8,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,5,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,7,8,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,7,8,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,1,8,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,7,1,8,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,7,8,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,7,8,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,7,8,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,1,8,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,8,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,8,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,8,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,8,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,2,8,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,2,6,5,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,2,4,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,5,2,4,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,5,2,8,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,5,1,2,7,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,1,2,8,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,1,2,3,8,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,1,2,3,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,5,2,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,5,1,2,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,1,2,3,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,1,2,3,8,7]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,4,1,2,8,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,1,7,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,1,8,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,1,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,1,2,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,5,1,2,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,5,3,8,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,5,3,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,1,5,2,7,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,6,7,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,6,7,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,6,8,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,6,8,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,7,1,2,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,6,1,8,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,6,7,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,6,8,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,7,8,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,7,2,8,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,2,7,8,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,8,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,8,7,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,8,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,8,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,8,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,8,3,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,8,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,8,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,8,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,8,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,8,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,7,6,3,4,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,7,6,2,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,3,8,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,3,5,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,2,5,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,7,6,1,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,2,7,6,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,3,7,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,7,8,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,8,6,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,6,8,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,7,1,8,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,7,1,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,6,1,7,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,1,7,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,1,8,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,6,8,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,8,6,1,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,2,8,6,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,6,1,8,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,6,8,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,8,6,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,8,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,8,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,8,1,6,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,7,8,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,3,2,7,1,8,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,7,1,6,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,7,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,2,1,5,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,1,5,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,1,8,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,7,8,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,2,1,8,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,1,4,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,1,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,7,1,4,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,2,8,7,1,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,8,1,7,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,8,7,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,1,7,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,7,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,1,8,5,7,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,8,1,4,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,1,8,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,1,5,8,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,3,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,8,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,1,8,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,8,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,8,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,8,3,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,8,1,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,8,7,1,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,8,7,6,1,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,4,8,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,8,7,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,8,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,3,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,3,8,7,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,3,8,7,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,2,8,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,2,8,7,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,8,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,8,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,8,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,4,8,7,2,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,8,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,8,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,8,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,8,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,8,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,8,7,2,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,8,2,7,6,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,8,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,8,7,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,8,7,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,2,8,1,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,4,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,8,1,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,8,7,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,5,8,7,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,8,7,6,1,2]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,5,8,7,1,6,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,5,8,1,7,6,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,2,6,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,2,6,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,3,2,5,4,8,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,5,4,8,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,3,2,5,4,7,6]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,2,5,3,7,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,5,3,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,2,5,3,8,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,2,6,3,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,6,3,5,4,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,5,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,2,5,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,1,4,3,8,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,6,1,4,3,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,1,4,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,1,4,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,1,4,3,8,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,5,1,4,3,8,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,7,2,5,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,2,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,3,5,4,8,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,3,5,4,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,2,5,4,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,2,5,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,5,1,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,1,4,3,8,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,3,7,2,6,5]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,3,7,2,6,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,3,8,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,1,5,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,2,6,3,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,2,6,4,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,3,6,4,7,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,3,6,4,8,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,2,6,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,2,6,3,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,6,1,5,3,8,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,1,5,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,2,6,3,7,4]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,2,7,3,8,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,2,7,3,8,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,2,6,3,7,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,3,2,6,4,7,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,2,6,4,8,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,2,7,4,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,2,7,4,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,3,2,7,5,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,8,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,2,8,5,7,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,3,2,8,4,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,3,2,8,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,1,3,2,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,1,4,2,6,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,2,8,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,2,8,3,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,8,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,5,2,8,4,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,3,8,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,8,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,8,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,2,8,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,8,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,2,8,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,7,1,5,2,6,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,8,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,7,3,8,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,7,2,6,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,3,7,2,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,4,7,2,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,8,4,7,3,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,4,8,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,4,8,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,3,8,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,8,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,3,8,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,3,7,1,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,3,8,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,8,1,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,2,8,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,2,4,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,8,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,8,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,2,5,8,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,2,5,8,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,2,6,3,8,1,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,1,6,8,3,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,1,6,8,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,1,4,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,6,3,8,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,3,8,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,2,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,5,3,8,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,3,8,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,8,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,8,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,1,8,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,3,1,8,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,8,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,8,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,1,7,8,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,1,5,8,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,3,8,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,8,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,8,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,7,3,8,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,7,3,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,3,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,8,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,2,8,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,2,8,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,7,4,8,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,7,3,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,3,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,3,2,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,2,8,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,3,8,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,3,1,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,1,7,3,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,4,2,8,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,1,8,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,1,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,1,5,2,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,5,1,8,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,4,2,1,8,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,2,8,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,2,8,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,7,2,8,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,8,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,1,8,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,8,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,7,8,2,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,1,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,7,8,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,8,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,7,2,8,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,8,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,8,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,8,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,8,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,5,7,8,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,7,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,8,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,7,8,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,2,7,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,2,1,7,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,1,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,1,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,7,2,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,2,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,8,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,7,1,8,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,8,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,7,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,3,4,2,5,7]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,2,5,1,6,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,6,2,4,1,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,2,7,4,1,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,3,8,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,5,8,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,3,7,1,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,4,5,6,3,1,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,5,6,1,3,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,2,4,5,6,3,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,1,3,6,4,7]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,6,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,6,4,1,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,5,6,3,2,7]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,3,7,2,1,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,5,8,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,7,2,8,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,7,2,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,3,7,1,8,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,3,7,2,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,4,7,1,2,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,5,8,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,7,8,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,7,8,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,8,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,7,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,1,7,8,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,1,4,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,1,7,8,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,7,1,4,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,6,7,8,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,7,8,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,8,2,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,1,3,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,7,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,2,7,8,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,6,7,8,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,7,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,7,4,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,4,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,6,4,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,4,2,1,5,8,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,4,2,5,8,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,2,1,3,5,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,1,8,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,8,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,8,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,7,8,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,2,7,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,5,8,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,1,5,8,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,8,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,7,1,3,8,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,7,8,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,7,8,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,6,7,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,6,7,8,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,7,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,7,8,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,6,7,8,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,7,8,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,7,1,3,8,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,8,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,8,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,3,7,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,3,7,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,6,5,1,2,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,6,3,4,8,7,2]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,2,7,3,5,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,7,4,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,6,5,3,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,2,4,3,1,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,4,8,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,5,4,1,3,2,6]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,6,5,1,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,6,5,8,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,4,8,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,4,2,8,7,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,5,4,8,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,4,7,6,2,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,7,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,7,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,6,8,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,8,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,2,8,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,7,8,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,8,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,8,7,1,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,8,4,3,5,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,7,8,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,8,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,8,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,8,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,8,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,3,8,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,3,7,8,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,3,7,1,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,8,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,3,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,4,8,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,3,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,1,2,8,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,1,8,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,1,3,7,6,2,4]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,3,8,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,1,3,2,8,7,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,3,8,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,2,1,3,8,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,1,8,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,2,8,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,1,8,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,7,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,8,7,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,6,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,1,6,5,3,2,4]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,7,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,8,7,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,6,5,4,2,3]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,6,5,8,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,4,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,5,2,4,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,1,2,3,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,2,3,8,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,3,4,8,7,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,5,2,4,8,7,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,2,3,8,7,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,2,3,8,7,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,2,3,8,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,7,3,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,7,2,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,8,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,2,8,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,2,8,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,2,8,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,3,8,4,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,5,3,7,4,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,2,7,4,6,3]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,2,7,3,6,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,2,7,3,6,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,7,2,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,6,2,3,5,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,7,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,7,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,6,7,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,8,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,6,8,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,1,8,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,2,8,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,2,8,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,7,8,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,8,7,5,6,2]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,8,7,5,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,8,7,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,2,7,4,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,7,2,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,7,6,2,4,5,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,6,2,3,5,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,8,7,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,7,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,6,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,7,6,3,4,5,2]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,6,2,4,5,3]=>[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,6,2,3,5,4]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,1,6,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,4,7,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,5,3,7,6,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,5,3,7,1,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,5,3,6,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,1,6,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,4,6,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,3,6,2,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,1,6,2,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,2,7,1,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,2,7,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,2,7,1,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,7,2,8,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,1,7,2,8,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,4,7,2,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,5,4,7,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,5,4,7,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,5,3,7,6,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,5,1,7,6,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,1,7,5,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,5,7,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,4,7,2,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,4,7,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,1,7,4,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,3,7,4,8,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,3,7,5,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,4,7,5,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,4,7,5,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,4,7,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,4,7,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,3,7,2,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,3,7,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,6,1,7,2,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,2,7,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,2,7,4,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,7,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,7,1,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,7,3,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,1,7,3,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,6,1,7,3,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,3,7,1,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,3,7,5,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,4,7,5,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,4,7,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,1,7,4,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,1,7,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,4,1,7,5,8,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,7,6,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,1,7,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,1,7,5,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,5,7,1,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,5,7,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,5,7,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,1,7,5,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,1,7,6,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,5,2,7,6,8,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,2,7,6,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,5,3,7,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,3,7,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,7,5,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,2,7,5,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,7,4,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,6,1,7,4,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,7,1,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,7,3,8,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,2,7,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,2,7,1,8,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,1,7,2,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,4,7,2,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,6,5,7,2,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,5,7,2,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,5,7,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,5,7,4,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,5,7,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,4,7,3,8,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,1,7,3,8,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,7,1,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,5,2,1,6,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,5,2,4,1,7]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,2,4,1,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,7,5,2,4,6,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,4,5,7,3,6,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,5,7,3,1,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,4,6,5,3,1,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,5,4,6,1,3,7]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,5,1,4,2,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,1,4,5,3,2,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,3,2,1,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,3,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,3,2,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,7,3,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,7,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,4,5,3,2,8,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,1,4,2,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,2,1,3,8,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,7,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,5,1,4,6,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,7,5,3,6,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,3,8,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,8,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,7,6,3,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,8,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,5,8,6,7,4,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,6,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,4,1,8,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,1,4,7,5,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,7,6,8,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,1,6,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,6,7,5,8,2,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,6,5,8,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,7,6,8,1,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,6,5,7,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,6,8,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,8,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,2,4,6,7,5,1]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,2,6,4,8,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,1,4,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,2,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,2,1,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,7,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,8,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,3,5,2,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,8,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,8,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,5,7,2,6,3]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,7,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,7,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,6,1,7,5,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,8,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,5,6,7,4,3]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,5,7,4,1,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,8,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,7,6,4,3,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,6,8,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,8,6,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,8,2,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,8,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,6,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,3,5,1,4,2]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,6,5,1,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,5,6,4,3,2]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,7,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,2,4,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,1,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,7,2,1,4,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,4,5,1,3,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,2,4,5,1,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,2,4,5,3,8,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,2,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,6,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,4,5,2,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,4,5,2,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,4,5,1,2,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,4,1,6,3,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,4,2,6,3,5]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,8,4,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,7,5,3,4,6]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,8,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,4,5,8,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,3,5,6,7,1]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,3,5,6,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,5,6,7,1]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,3,5,6,7,2]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,8,4,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,8,4,6,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,3,6,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,3,8,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,8,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,2,5,6,7,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,8,2,5,6,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,1,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,5,6,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,3,5,6,7,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,5,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,3,5,6,7,4]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,5,6,7,4]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,3,4,6,7,5]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,7,8,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,8,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,8,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,4,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,1,4,3,6,2,5]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,4,2,6,1,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,8,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,2,1,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,3,1,4,2,7,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,3,8,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,1,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,2,6,8,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,6,2,8,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,5,1,2,7,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,8,6,2,7,1]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,4,1,6,2,3]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,4,5,8,1,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,6,4,5,8,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,6,1,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,7,6,5,8,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,5,3,6,7,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,4,2,5,6,7,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,1,5,6,7,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,1,5,6,7,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,8,5,6,7,1]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,1,8,5,6,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,8,5,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,2,1,5,6,7,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,4,8,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,3,2,8,1,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,3,8,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,5,8,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,4,8,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,4,1,5,6,7,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,8,5,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,5,6,7,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,7,2,8,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,4,5,8,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,2,4,5,8,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,4,8,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,4,8,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,3,7,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,4,5,2,1,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,5,4,8,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,4,8,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,1,8,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,8,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,4,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,1,6,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,5,4,8,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,4,7,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,8,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,8,3,7,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,6,5,3,8,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,2,1,6,8,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,5,1,4,8,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,5,3,8,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,4,3,8,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,2,7,1,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,8,2,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,6,2,1,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,1,7,2,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,3,1,8,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,5,8,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,5,8,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,5,8,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,7,4,6,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,8,7,3,6,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,8,7,3,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,8,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,1,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,1,8,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,5,3,7,4,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,1,8,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,2,8,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,1,6,8,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,4,8,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,6,3,2,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,7,5,3,2,8,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,3,2,1,8,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,2,8,7,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,8,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,6,3,1,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,1,7,3,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,4,1,8,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,6,3,1,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,8,6,3,7,5,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,2,4,7,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,2,4,1,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,1,4,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,8,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,1,4,6,2,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,5,7,1,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,6,2,7,1,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,6,2,5,4,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,8,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,8,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,5,7,2,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,2,7,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,8,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,6,8,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,2,8,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,1,8,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,1,8,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,7,2,8,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,1,8,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,8,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,6,1,5,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,7,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,3,7,6,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,2,7,3,5,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,2,6,3,5,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,6,3,1,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,2,7,6,4,5,1,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,6,3,5,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,2,3,4,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,5,2,3,8,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,2,8,3,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,5,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,3,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,6,4,1,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,6,4,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,2,8,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,2,7,3,4,6]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,7,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,7,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,8,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,7,8,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,7,1,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,8,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,2,8,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,3,8,1,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,4,1,8,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,3,1,8,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,3,1,8,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,2,1,3,8,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,2,1,8,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,1,7,3,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,8,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,1,2,7,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,8,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,2,3,8,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,2,1,3,8,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,1,4,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,1,8,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,1,8,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,1,8,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,7,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,7,3,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,7,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,7,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,6,2,3,4,5]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,6,2,3,4,5]=>[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,1,2,4,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,5,6,1,2,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,7,5,2,1,4,6]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,5,1,8,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,7,1,8,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,7,4,1,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,1,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,5,1,2,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,1,4,6,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,5,2,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,6,2,8,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,4,7,2,6,3,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,8,5,2,1,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,5,7,3,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,5,1,7,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,2,4,6,7,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,6,5,7,1,2]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,4,8,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,6,8,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,6,7,1,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,3,8,5,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,2,8,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,3,5,8,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,3,7,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,8,3,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,8,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,4,1,8,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,2,5,7,6,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,8,2,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,1,6,7,5,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,2,6,8,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,2,1,7,5,6,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,3,6,5,7,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,5,4,3,1,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,1,6,3,4,2,5]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,7,2,4,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,7,2,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,6,1,4,2,7,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,8,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,4,1,8,5,7,6]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,2,6,7,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,6,2,7,1,4]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,6,1,8,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,8,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,5,4,7,1,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,4,5,7,2,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,3,6,1,7,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,6,5,7,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,5,3,6,8,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,3,5,2,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,5,6,8,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,1,6,5,8,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,2,8,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,8,7,6,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,8,6,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,2,1,5,8,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,4,6,1,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,2,6,8,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,3,6,8,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,4,6,1,8,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,4,1,5,7,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,5,7,6,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,6,8,7,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,6,3,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,2,1,4,3,8,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,7,4,8,3,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,7,4,1,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,5,2,1,6,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,5,2,8,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,2,4,1,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,2,4,1,5,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,5,4,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,2,3,4,8,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,2,3,4,1,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,8,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,7,3,8,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,1,3,5,8,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,4,1,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,7,4,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,7,4,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,8,7,4,3,6,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,4,1,2,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,3,5,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,3,1,5,7,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,1,6,3,7,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,2,7,6,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,5,7,1,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,3,8,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,2,8,7,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,4,8,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,2,8,5,7,6,1]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,1,8,7,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,1,7,5,3,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,1,8,6,7,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,6,5,7,2]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,5,4,8,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,5,6,8,4,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,6,8,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,2,5,1,7,4,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,2,1,8,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,2,6,3,8,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,6,8,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,1,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,8,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,2,8,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,8,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,1,4,5,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,8,7,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,8,5,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,4,5,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,8,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,7,8,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,8,4,6,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,8,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,3,5,6,1,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,3,6,5,2,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,1,7,2,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,3,7,2,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,2,4,7,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,1,4,6,7,5]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,2,5,1,7,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,4,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,8,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,3,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,2,3,5,1,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,4,6,5,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,3,4,5,7,6]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,1,6,5,3,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,1,6,5,7,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,7,6,1,4,3,5]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,6,7,4,3,1]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,6,1,4,2,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,4,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,8,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,3,4,7,6,1]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,3,4,1,7,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,3,4,1,6,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,6,1,4,5,3]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,3,6,1,7,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,6,7,4,1,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,3,4,7,1,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,3,4,6,1,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,3,4,6,7,1]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,2,4,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,2,7,3,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,8,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,8,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,2,1,3,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,2,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,6,1,4,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,4,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,4,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,2,7,3,1,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,6,3,1,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,3,7,6,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,7,3,4,8,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,7,4,3,8,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,4,8,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,8,6,4,7,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,8,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,2,8,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,3,8,7,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,3,8,6,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,3,8,6,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,3,7,6,5,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,3,8,5,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,6,8,4,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,8,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,2,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,2,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,8,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,2,8,3,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,7,3,4,1,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,7,4,3,2,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,8,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,8,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,8,3,6,5,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,3,6,2,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,6,2,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,6,5,2,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,5,8,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,7,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,5,7,3,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,6,3,7,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,7,3,8,1,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,6,2,4,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,2,4,8,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,5,6,8,4,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,5,2,8,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,5,8,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,6,5,8,3,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,2,6,3,8,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,5,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,3,7,8,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,7,3,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,6,7,8,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,6,8,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,6,8,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,6,3,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,2,1,6,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,2,5,7,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,8,1,5,7,3,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,1,7,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,4,7,2,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,2,5,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,1,7,5,4,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,7,5,4,3,6]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,6,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,1,6,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,2,7,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,5,8,7,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,8,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,1,5,3,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,7,5,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,8,7,5,6,1,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,7,1,5,3,6,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,6,4,2,8,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,5,6,8,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,2,8,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,1,7,6,4,5,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,7,3,6,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,5,8,3,6,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,5,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,4,7,3,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,7,3,8,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,1,4,7,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,5,2,1,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,6,7,2,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,1,8,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,8,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,8,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,7,1,2,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,3,1,8,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,3,4,2,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,4,2,3,8,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,4,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,4,5,8,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,1,8,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,3,5,4,8,1,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,4,5,8,7,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,2,7,6,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,2,4,7,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,4,1,6,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,4,2,8,5,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,2,6,5,3,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,1,5,6,3,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,8,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,7,6,5,3,4]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,7,8,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,4,5,6,8,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,7,1,6,3,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,7,5,6,8,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,3,5,7,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,5,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,6,5,2,4,1,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,6,1,4,7,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,8,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,8,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,8,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,5,1,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,1,6,4,2,5,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,8,6,2,3,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,6,5,4,1,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,6,5,3,4,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,6,4,5,3,7]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,7,5,1,4,3,6]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,7,1,3,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,2,5,1,3,8,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,3,6,1,7,2,4]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,6,2,4,8,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,1,2,5,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,2,7,1,4,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,7,1,2,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,4,1,2,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,5,2,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,1,2,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,2,3,8,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,2,3,7,1,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,7,6,3,8,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,2,3,8,1,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,5,2,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,8,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,2,6,3,7,1,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,2,4,7,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,2,7,1,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,5,8,1,3,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,4,8,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,6,7,2,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,7,1,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,2,4,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,3,8,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,6,3,8,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,3,7,1,2,5]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,1,6,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,1,6,8,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,7,1,8,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,2,7,8,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,6,4,7,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,4,8,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,5,8,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,8,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,8,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,7,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,2,8,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,8,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,2,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,7,1,3,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,7,1,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,6,1,2,4,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,7,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,6,1,3,4,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,1,2,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,1,2,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,1,4,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,8,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,7,4,5,1,6,2]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,8,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,8,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,4,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,4,8,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,8,4,7,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,1,2,5,7,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,1,4,2,6,5,3]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,1,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,8,9,1,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,7,8,9,1,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,7,1,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,7,8,10,1,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,1,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,1,5,6,7,8,9,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,6,4,5,7,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,7,4,6,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,3,6,2,4,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,2,5,1,8,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,3,6,2,7,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,3,4,7,1,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,3,4,5,8,1]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,3,4,5,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,7,3,6,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,7,6,2,3,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,3,5,2,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,2,4,5,8,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,2,8,4,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,2,3,7,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,2,1,7,3,4,6]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,1,8,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,2,8,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,2,3,1,8,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,2,3,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,2,1,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,6,3,7,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,7,3,4,5,6]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,6,1,7,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,3,7,1,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,7,3,4,5,6]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,2,7,1,8,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,1,2,8,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,6,1,8,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,5,8,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,1,5,8,4,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,3,6,8,2,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,3,4,6,8,2,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,1,6,8,2,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,8,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,5,8,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,4,8,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,8,7,1,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,8,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,7,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,3,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,2,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,2,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,8,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,8,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,5,8,7,1,3,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,7,1,4,5,6]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,6,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,7,3,4,5,6]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,7,6,1,3,4,5]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,8,7,2,4,5,6]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,3,6,2,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,5,8,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,7,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,7,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,3,7,2,4,6]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,3,6,2,4,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,1,3,6,2,4,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,3,2,6,5,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,3,2,6,5,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,7,5,6]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,3,2,7,6,5]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,6,7,2,3]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,3,6,2,7,4]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,6,7,5]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,5,7,6]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,3,2,5,6,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,3,2,5,6,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,8,2,5,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,1,2,5,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,3,2,5,8,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,3,2,6,8,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,3,6,2,8,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,4,6,8,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,8,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,7,2,5,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,2,8,6,1,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,2,8,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,8,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,7,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,1,7,8,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,1,7,2,8,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,1,2,7,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,2,1,8,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,1,8,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,1,8,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,1,4,8,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,3,2,8,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,3,2,8,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,1,2,8,5,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,1,2,7,5,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,8,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,8,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,7,2,4,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,8,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,3,8,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,1,8,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,8,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,7,8,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,7,2,8,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,7,2,1,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,8,1,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,2,8,1,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,3,7,2,1,8,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,7,1,2,8,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,7,1,8,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,7,8,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,7,2,8,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,2,7,8,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,2,6,8,1,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,2,1,3,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,8,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,1,2,5,8,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,8,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,3,7,6,2,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,1,8,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,8,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,7,1,8,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,7,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,7,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,5,3,7,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,4,3,6,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,7,2,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,5,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,7,5,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,7,2,4,3,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,4,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,2,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,8,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,8,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,8,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,8,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,8,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,4,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,8,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,8,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,8,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,8,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,8,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,8,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,8,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,8,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,8,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,8,3,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,8,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,2,8,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,3,8,1,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,4,8,1,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,2,8,1,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,8,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,8,3,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,8,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,8,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,8,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,8,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,5,1,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,5,2,6,4,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,7,5,4,2,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,2,8,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,3,1,7,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,5,6,1,7,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,6,5,7,3,1,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,5,3,7,1,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,3,5,6,1,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,8,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,3,8,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,8,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,2,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,8,5,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,8,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,5,2,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,5,1,2,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,5,6,8,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,7,5,2,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,2,7,6,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,1,7,5,8,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,7,1,4,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,7,4,1,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,6,4,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,1,8,6,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,8,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,8,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,5,8,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,7,3,4,2,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,2,7,4,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,8,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,8,4,6,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,4,8,6,1,7,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,6,5,1,7]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,3,5,8,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,4,7,8,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,4,7,1,8,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,4,1,8,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,1,4,8,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,6,8,4,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,1,8,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,8,4,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,5,8,3,4,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,6,3,8,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,4,1,7,8,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,7,8,6,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,7,2,8,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,4,7,8,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,4,6,8,5,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,5,7,1,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,6,1,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,4,3,6,5,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,1,2,6,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,2,1,6,5,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,2,5,4,1,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,2,5,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,2,5,4,7,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,4,5,2,3,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,1,6,2,4,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,1,5,6,3,4,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,6,5,4,3,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,1,5,4,2,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,5,1,3,2,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,3,2,7,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,4,3,7,2,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,4,3,1,8,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,5,1,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,1,5,4,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,7,5,4,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,8,5,4,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,1,5,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,5,1,3,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,8,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,4,3,6,5,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,5,6,3,4,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,8,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,8,5,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,6,1,7,3,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,1,8,6,7,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,7,6,8,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,1,6,8,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,6,1,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,8,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,5,7,3,2,4]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,5,6,7,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,7,8,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,6,7,1,8,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,6,1,7,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,6,7,8,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,5,7,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,1,7,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,7,1,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,4,7,2,1,8,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,2,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,4,6,2,7,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,3,2,6,7,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,2,6,8,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,3,2,7,8,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,2,7,1,8,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,2,1,7,8,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,4,3,7,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,4,3,8,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,1,2,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,2,8,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,2,7,6,5,4]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,7,2,6,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,4,8,2,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,8,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,8,2,1,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,5,8,1,2,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,1,8,2,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,6,8,7,3,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,8,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,8,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,8,6,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,5,7,6,2,4,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,7,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,8,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,8,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,7,8,1,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,7,8,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,8,1,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,7,1,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,7,6,1,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,3,6,5,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[7,4,6,1,8,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,1,7,4,6,2]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,4,1,7,5,6,2]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,1,7,5,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,2,1,7,5,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,2,6,8,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,1,6,8,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,4,1,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,5,1,8,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,1,8,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,6,5,7,1,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,1,8,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,1,8,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,5,3,1,8,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,1,6,7,5,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,4,2,6,7,5,3]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,3,2,7,6,8,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,3,2,1,7,6,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,1,7,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,4,1,6,7,5,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,5,1,6,8,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,7,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,6,5,8,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,5,7,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,1,2,7,5,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,6,8,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,2,6,7,5,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,1,2,7,6,8,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,3,7,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,1,2,7,6,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,2,7,6,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,1,5,8,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,6,1,5,8,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,5,1,7,6,8,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,1,5,8,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,1,5,8,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,5,8,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,1,6,8,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,6,7,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,3,1,7,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,2,1,7,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,2,7,6,8,4]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,6,2,5,8,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,2,1,5,8,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,1,5,7,6,2,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,4,1,7,5,8,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,5,1,7,4,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,4,8,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,4,7,1,5,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,1,5,2,7,4,8,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,2,5,8,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,7,6,2,1,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,5,7,6,2,4]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,3,7,6,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,3,7,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,2,6,8,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,7,5,1,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,1,4,2,7,5,8,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,5,7,1,4,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,8,2,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,5,7,6,1,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,3,2,7,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,3,2,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,3,7,6,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,3,7,6,8,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,1,3,7,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,3,5,7,6,1,4]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,3,5,7,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,3,5,8,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,7,6,1,2,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,2,3,7,6,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,7,6,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,4,3,6,5,7]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,3,5,6,2,7,4]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,3,4,2,6,7,5]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,2,4,5,7,6]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,3,4,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,8,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,1,4,5,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,4,2,6,8,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,5,6,8,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,8,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,7,4,5,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,4,8,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,4,2,8,7,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,5,8,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,1,7,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,2,3,8,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,1,3,7,5,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,8,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,8,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,1,7,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,1,8,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,7,8,3,4,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,7,3,8,5,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,7,3,1,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,8,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,8,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,8,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,8,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,3,7,1,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,6,7,2,1,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,2,8,1,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,2,7,8,1,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,6,8,1,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,7,8,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,2,7,8,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,8,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,1,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,3,6,5,2,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,8,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,3,4,8,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,7,1,8,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,2,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,7,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,4,8,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,8,3,7,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,4,8,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,7,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,1,7,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,2,1,4,3,5]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,2,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,5,3,4,6,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,7,3,5,4,6,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,5,4,7,1,6,3]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,2,7,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,6,2,4,3,1,5]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,1,2,4,3,5]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,4,1,3,2,5]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,5,4,3,6,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,7,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,4,7,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,6,5,7,4,3]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,6,7,4,1,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,1,7,2,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,3,1,7,2,6,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,7,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,8,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,4,8,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,4,5,3,6,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,5,7,2,1,6,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,3,7,2,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,6,3,1,4,2,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,1,3,2,4,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,2,7,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,5,2,7,1,6,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,4,3,5,6,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,3,4,5,6,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,4,5,7,1,6,3]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,3,7,1,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,5,4,2,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,5,2,7,6,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,2,1,7,3,6]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,4,2,1,7,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,4,2,1,3,8,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,2,3,1,8,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,5,1,4,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,3,1,2,8,7]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,1,3,2,8,7]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,2,7,6,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,1,6,3,2,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,1,6,3,5,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,1,6,5,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,4,1,3,7,6,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,3,1,7,6,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,5,3,7,6,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,5,1,7,4,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,3,1,7,2,6]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,1,3,7,2,6]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,1,6,5,2,3]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,1,6,2,5,3]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,5,2,1,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,3,6,2,1,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,7,6,4,1,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,7,6,4,3,5]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,7,6,4,5,3]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,2,7,6,4,5,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,3,6,2,5,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,5,2,4,3,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,2,3,7,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,4,2,6,5,3,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,2,6,3,5,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,2,6,3,1,5]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,1,7,6,4,2,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,7,6,4,5,2]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,7,6,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,5,4,7,6,2]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,7,6,5,2,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,7,6,2,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,2,6,1,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,2,6,5,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,4,2,3,7,1,6]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,2,5,4,7,1,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,7,6,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,3,6,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,5,3,1,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,1,3,4,2]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,1,4,3,2]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,4,3,6,1,5,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,7,6,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,7,6,3,5,4]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,2,7,6,1,4,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,1,4,2,3]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,1,2,4,3]=>[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,5,1,8,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,4,1,8,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,6,2,1,8,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,5,2,7,4,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,1,8,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,5,1,8,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,1,8,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,2,1,8,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,4,2,7,5,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,2,7,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,3,2,1,8,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,1,7,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,1,7,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,1,7,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,7,1,6,8,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,2,8,4,3,7]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,2,8,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,1,2,8,6,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,2,8,6,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,5,8,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,3,4,8,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,6,8,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,1,5,7,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,6,8,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,3,1,8,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,1,6,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,2,5,7,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,5,8,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,1,5,8,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,4,1,8,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,5,1,8,4,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,1,4,8,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,4,8,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,1,3,8,7,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,3,8,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,3,8,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,4,8,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,3,8,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,1,4,7,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,4,6,8,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,5,8,2,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,2,4,8,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,1,6,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,2,3,1,8,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,7,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,2,4,1,8,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,2,4,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,1,6,3,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,3,5,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,1,5,2,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,6,3,4,1,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,3,4,1,8,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,6,7,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,3,4,1,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,4,1,5,2,8,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,3,5,2,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,4,5,2,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,8,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,6,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,7,3,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,7,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,7,3,5,1,6,2]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,4,7,3,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,7,3,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,5,7,4,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,5,7,4,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,4,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,4,6,2,8,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,3,6,2,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,6,2,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,7,3,5,1,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,3,6,2,5,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,6,2,5,1,8,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,1,7,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,4,1,7,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,4,1,7,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,6,2,3,1,8,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,3,1,7,4,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,1,7,4,8,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,7,5,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,4,2,8,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,3,1,8,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,6,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,8,5,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,6,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,4,1,8,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,2,8,6,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,5,2,8,6,7,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,6,3,8,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,8,5,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,2,8,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,8,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,6,2,5,1,7,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,3,8,4,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,3,8,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,5,1,6,2,7,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,4,6,2,7,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,6,2,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,5,6,2,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,5,6,3,7,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,4,8,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,4,8,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,3,8,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,5,1,7,3,6,2]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,6,2,8,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,6,1,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,3,6,2,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,8,4,7,2,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,1,4,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,2,5,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,2,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,5,4,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,4,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,1,4,3,2,7,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,4,8,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,6,8,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,5,3,1,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,1,4,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,4,7,6,1,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,2,4,7,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,1,4,7,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,5,3,1,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,5,1,3,6,8,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,6,2,4,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,6,1,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,7,2,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,5,2,4,8,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,2,4,5,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,2,5,3,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,7,8,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,8,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,7,8,1,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,7,8,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,7,6,1,4,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,7,6,8,1,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,5,6,8,4,1,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,6,8,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,1,8,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,6,8,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,8,5,6,7,1,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,1,6,3,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,8,5,4,6,7,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,4,5,6,1,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,8,6,1,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,7,1,5,2,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,8,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,8,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,1,8,3,6,2,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,6,5,8,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,4,3,8,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,4,8,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,4,1,2,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,1,7,8,6,3]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,4,5,8,1,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,1,8,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,4,8,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,4,8,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,6,5,3,8,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,5,6,3,8,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,2,7,1,8,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,3,1,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,4,2,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,4,1,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,5,2,8,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,5,2,4,8,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,2,8,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,3,8,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,4,2,3,8,7]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,3,4,2,8,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,1,5,3,2,8,4]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,1,2,8,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,4,3,1,8,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,2,4,3,1,6,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,6,5,1,3,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,5,4,1,6,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,7,8,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,3,6,8,4,7,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,7,8,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,7,8,1,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,7,4,1,6,2,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,8,4,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,8,6,3,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,5,7,6,3,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,7,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,8,6,7,5,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,6,4,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,7,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,3,1,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,2,7,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,2,6,8,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,1,8,4,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,7,5,1,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,1,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,3,1,7,6,2,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,2,7,8,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,4,7,5,6,2,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,5,8,6,7,2]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,6,8,5,2,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,6,1,8,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,1,6,8,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,5,8,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,5,3,8,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,7,3,8,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,7,5,2,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,7,5,2,4,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,6,8,5,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,2,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,2,4,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,1,7,8,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,7,5,1,8,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,1,5,8,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,7,1,5,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,8,1,3,7,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,8,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,4,1,5,7,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,4,8,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,4,5,1,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,7,5,8,1,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,1,7,8,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,3,6,8,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,3,6,8,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,6,2,8,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,3,4,6,1,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,8,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,4,1,6,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,3,6,7,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,8,1,7,3,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,3,6,2,5,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,8,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,8,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,1,6,2,3,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,2,6,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,8,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,1,2,6,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,7,2,8,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,2,7,8,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,7,8,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,4,6,2,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,2,4,6,7,1,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,6,8,2,7,1,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,5,6,8,1,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,5,6,1,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,2,3,7,8,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,8,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,7,6,1,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,4,6,5,1,2,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,4,7,5,1,2,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,6,1,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,7,6,1,2,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,7,6,1,2,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,7,2,6,3,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,2,7,6,4,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,1,7,6,4,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,7,1,6,3,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,7,1,5,3,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,4,6,1,5,3,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,4,6,2,5,3,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,7,2,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,7,2,6,3,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,7,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,2,8,7,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,7,6,4,5]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,2,6,5,4,7]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,3,1,6,5,4,7]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,1,7,5,4,6]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,1,7,6,4,5]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,8,7,6,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,8,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,8,7,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,7,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,2,1,6,5,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,1,5,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,8,7,1,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,8,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,6,1,2,4,3,7]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,8,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,2,6,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,2,5,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,6,2,5,3,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,2,6,5,4,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,1,2,7,5,4,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,2,7,6,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,8,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,8,7,6,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,7,6,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,8,3,7,6,4,5]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,3,7,5,4,6]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,1,3,6,5,4,7]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,2,3,6,5,4,7]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,8,3,7,6,4,5]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,3,6,8,2,5,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,6,2,5,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,8,2,4,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,2,8,3,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,6,5,8,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,2,6,8,3,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,6,5,8,2,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,2,5,8,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,4,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,5,4,8,3,7]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,4,7,3,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,2,6,3,8,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,4,2,8,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,5,2,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,5,2,8,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,5,1,8,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,2,8,7,3,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,2,8,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,8,3,7,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,3,8,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,6,5,3,7,4]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,8,6,3,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,2,8,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,8,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,1,8,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,1,6,2,8,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,4,2,8,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,2,6,3,8,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,7,5,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,5,3,8,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,5,3,8,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,6,3,8,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,7,6,3,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,2,7,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,4,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,2,8,6,3,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,6,2,4,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,8,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,6,2,4,7,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,3,2,4,6,5]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,8,7,3,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,2,8,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,4,2,7,3,6]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,1,7,2,4,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,1,7,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,6,4,2,7,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,2,6,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,7,3,8,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,8,5,3,7,6,4]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,3,8,7,5,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,6,3,8,5,4]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,7,3,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,8,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,2,8,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,8,3,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,1,8,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,3,2,6,4,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,8,7,6,3,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,7,5,3,6,4]=>[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,6,3,7,5,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,3,8,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,6,5,8,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,7,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,6,3,4,5,2]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,6,2,4,3,8]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,5,2,7,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,5,3,7,6,2]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,5,3,8,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,5,3,7,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,8,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,4,8,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,3,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,5,3,8,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,5,3,6,8,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,5,3,6,7,2]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,5,2,6,3,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,2,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,8,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,2,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,5,7,3,6,1,2]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,8,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,6,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,8,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,6,2,4,3,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,5,2,6,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,8,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,1,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,5,6,2,1,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,8,5,1,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,6,1,5,7,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,7,2,1,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,8,5,6,1,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,6,3,1,8,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,5,6,3,1,7,2]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,6,2,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,8,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,6,2,1,4,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,6,5,1,3,4,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,8,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,8,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,1,8,5,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,3,8,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,3,6,5,8,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,8,4,3,1,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,1,8,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,1,4,3,5,8]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,1,2,8,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,1,5,2,3,7,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,8,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,6,4,1,7,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,4,3,1,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,5,7,2,4,1,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,4,1,8,7,5,6]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,6,1,7,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,1,6,4,7,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,1,4,5,7,6]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,6,1,4,3,5,7]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,1,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[9,1,2,3,4,5,6,7,10,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,8,2,3,4,5,6,9,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,3,4,5,6,9,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,1,9,3,4,5,6,7,8]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,1,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[8,4,3,6,5,1,7,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,6,3,4,1,7,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,4,3,1,7,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,5,2,7,3,4]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,4,1,6,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,2,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,5,1,7,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,6,5,1,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,6,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,7,6,2,5,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,6,2,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,7,5,3,2,4,8]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,5,2,4,3,8]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,5,2,3,7,4]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,3,4,5,8]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,2,6,3,5,4]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,2,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,8,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,3,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,3,8,2,7,5,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,4,7,5,6]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,8,7,1,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,1,5,4,3,2]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,2,6,5,3,4]=>[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,8,2,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,7,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,3,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,8,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,7,1,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,8,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,1,5,2,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,1,2,6,5,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,1,2,5,7,6]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,1,4,2,3,7,6]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,4,2,6,3,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,4,3,2,7,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,3,4,2,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,2,1,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,1,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,1,4,6,5,8]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,1,3,6,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,3,2,6,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,1,2,4,5,3,8]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,1,2,5,4,3,8]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,5,3,7,4]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,2,3,6,5,4]=>[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,3,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,3,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,4,5,7,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,2,5,6,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,4,3,6,7,8]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,5,4,7,8]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,4,6,5,8]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,4,5,7,6]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,3,8,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,5,1,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,6,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,7,8,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,4,5,7,1,2,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,6,7,1,2,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,1,8,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,2,7,4,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,7,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,6,1,8,7,4,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,8,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,4,5,1,6,3,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,8,6,2,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,8,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,6,3,4,7,8,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,2,6,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,3,2,5,4,6,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,3,1,5,6,4,7]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,1,5,7,4,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,6,8,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,1,6,7,8,5,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,7,6,8,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,8,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,2,6,4,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,1,5,8,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,2,1,8,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,1,2,8,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,3,4,8,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,3,4,6,8,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,7,3,4,8,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,7,8,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,2,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,2,7,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,7,5,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,5,7,8,6,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,3,4,7,6,5]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,1,3,4,6,5,7]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,6,5,8,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,1,4,8,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,1,8,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,4,8,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,4,8,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,3,8,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,3,8,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,3,1,8,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,1,3,8,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,4,2,8,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,3,2,8,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,1,2,8,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,2,1,8,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,2,8,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,2,8,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,8,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,8,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,1,8,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,3,8,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,7,4,8,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,7,4,8,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,4,8,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,4,8,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,3,8,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,3,1,8,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,8,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,8,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,8,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,8,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,8,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,7,8,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,8,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,8,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,1,8,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,8,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,8,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,8,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,8,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,7,1,8,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,7,8,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,7,8,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,8,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,8,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,8,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,2,1,8,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,2,8,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,2,8,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,7,3,8,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,8,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,8,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,1,8,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,8,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,7,8,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,7,8,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,8,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,8,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,5,8,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,1,4,8,7,3,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,8,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,8,6,3,7,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,7,1,8,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,7,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,1,6,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,8,5,6,7,2,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,2,7,8,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,2,8,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,5,2,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,7,4,8,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,4,8,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,3,5,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,1,4,6,7,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,7,4,2,8,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,6,2,4,5,3]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,7,1,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,7,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,7,1,5,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,6,1,2,5,7,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,1,8,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,7,3,6,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,3,6,4,2,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,1,5,3,8,2,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,6,3,4,7,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,3,5,4,8,1]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,4,3,5,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,6,4,5,2,8,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,3,1,8,2,7]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,4,2,7,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,4,1,7,2,6,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,1,8,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,2,8,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,3,4,8,2,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,6,3,1,8,2,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,6,4,7,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,3,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,3,7,5,2,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,2,6,4,3,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,1,6,2,5,4,3]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,6,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,7,3,5,6,4]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,3,7,2,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,5,7,3,6,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,6,8,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,3,1,8,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,2,8,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,1,8,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,7,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,2,7,3,4,6,5]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,8,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,6,1,7,3,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,1,5,8,3,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,6,8,2,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,7,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,4,7,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,3,7,6,2,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,8,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,8,7,4,5,6,1]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,7,5,6,3,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,6,3,5,4,1]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,6,5,2,4,3]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,8,7,6,3,4,5]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,8,7,4,6,2,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,8,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,6,4,5,2,1]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,6,5,3,4,1]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,6,5,4,2,3]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,7,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,4,5,1,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,6,7,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,7,4,6,2,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,7,4,6,1,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,7,3,6,1,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,8,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,8,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,8,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,1,8,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,8,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,8,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,3,8,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,4,8,5,6,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,4,8,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,5,6,1,7,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,6,2,7,3,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,8,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,7,3,6,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,7,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,7,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,7,3,6,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,3,8,4,6,1,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,8,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,8,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,4,7,3,6,2,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,7,3,6,1,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,7,2,6,1,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,7,2,6,1,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,7,2,6,1,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,7,3,6,1,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,7,3,6,2,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,6,7,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,7,3,5,1,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,6,7,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,6,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,7,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,6,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,1,8,6,7,3,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,8,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,8,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,7,1,6,2,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,3,7,1,6,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,7,1,6,2,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,8,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,1,8,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,2,6,1,8,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,6,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,3,6,2,8,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,3,6,1,8,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,5,8,7,9,6]=>[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,4,5,6,8,9,10,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,2,3,4,5,7,8,9,10,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,4,3,5,6,7,8,9,2]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,4,5,6,7,8,9,10,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[3,2,4,5,6,7,8,9,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,4,8,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,2,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,6,2,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,4,6,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,8,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,7,2,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,7,2,8,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,8,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,8,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,8,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,8,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,2,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,2,7,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,2,8,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,2,5,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,2,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,3,8,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,2,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,2,5,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,2,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,8,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,3,6,2,8,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,6,2,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,5,2,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,5,2,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,8,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,5,8,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,8,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,8,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,4,2,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,4,2,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,4,2,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,8,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,7,2,5,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,3,8,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,5,2,8,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,5,2,6,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,7,2,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,7,2,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,8,2,7,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,5,2,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,5,2,6,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,8,2,6,1,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,2,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,5,2,1,8,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,5,2,1,7,6,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,2,1,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,4,2,3,1,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,5,3,1,2,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,1,3,2,8,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,1,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,8,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,8,1,3,7,6,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,5,3,1,7,6,2]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,1,3,8,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,8,7,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,6,3,7,2,1,5]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,8,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,8,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,7,8,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,2,8,6,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,2,3,7,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,7,2,6,3,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,2,7,3,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,6,1,8,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,8,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,1,6,7,5,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,6,8,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,2,8,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,4,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,8,6,7,5,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,6,7,5,1,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,3,7,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,6,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,8,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,7,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,3,8,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,2,6,8,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,6,8,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,8,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,3,7,4,6,5,2]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,5,4,7,3,8]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,5,4,8,3,1]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,5,4,7,6,2]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,5,4,3,8,7,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,3,4,5,7,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,3,4,8,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,4,3,5,6,8,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,3,4,5,6,7,2]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,4,5,6,3,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,7,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,2,5,6,1,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,8,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,1,4,3,7,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,2,8,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,1,4,8,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,8,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,2,8,6,5,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,2,6,8,5,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,6,3,2,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,8,5,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,5,2,4,7,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,2,6,1,5,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,7,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,5,8,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,6,3,2,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,1,2,3,8,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,6,5,8,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,1,3,8,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,2,7,3,1,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,6,3,4,1,5]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,6,3,2,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,6,4,2,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,7,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,8,7,2,4,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,3,7,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,3,8,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,3,7,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,1,3,6,4,7,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,3,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,3,2,4,6,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,9,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,6,9,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,6,5,9,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,6,5,4,9,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,6,5,4,3,9,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,6,5,4,3,2,9,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,10,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,6,7,9,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,7,10,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,8,7,6,10,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,8,7,6,5,10,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,8,7,6,5,4,10,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,7,6,5,4,2,3,9,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,4,3,10,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,7,6,5,4,3,1,2,9]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,4,3,2,10,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,4,2,7,8,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,4,8,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,4,7,5,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,3,8,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,3,2,8,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,5,7,8,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,3,1,8,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,5,1,7,3,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,1,8,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,4,8,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,4,8,5,7,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,4,7,5,8,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,1,3,7,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,2,3,1,8,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,2,3,1,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,4,2,6,8,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,3,4,6,8,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,5,4,6,7,1,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,6,3,1,8,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,4,3,1,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,7,4,1,3,5,6]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,4,3,2,5,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,3,8,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,8,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,3,1,2,6,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,4,2,6,3,8]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,1,6,7,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,1,2,8,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,2,7,8,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,5,3,8,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,4,1,2,5,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,4,2,7,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,2,4,1,7,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,3,2,6,7,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,2,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,6,7,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,6,7,1,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,4,1,7,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,3,1,4,5,8,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,4,3,2,5,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,1,6,5,2,4,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,5,1,8,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,5,2,8,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,4,6,5,3,7]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,2,5,4,6,3,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,5,1,3,4,7]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,6,2,5,4,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,6,4,5,3,7]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,2,5,6,4,3,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,6,5,4,3,7]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,4,2,8,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,4,8,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,6,8,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,6,2,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,4,7,2,8,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,4,5,2,8,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,1,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,2,8,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,8,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,6,2,8,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,8,6,7,3,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,6,4,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,6,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,7,4,6,8,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,3,6,8,5,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,2,7,8,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,2,7,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,6,8,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,2,8,4,6,7,5]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,7,6,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,7,1,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,3,2,5,8,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,7,2,1,3,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,3,4,2,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,7,8,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,7,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,8,1,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,6,3,4,7,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,6,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,3,7,8,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,7,3,8,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,2,8,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,8,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,7,5,6,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,1,2,3,4,10,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,1,10,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[8,1,2,3,4,5,6,9,10,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,7,8,5,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,8,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,7,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,3,8,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,8,4,3,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,8,4,2,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,8,3,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,8,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,7,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,3,8,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,8,2,5,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,8,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,7,3,5,8,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,7,2,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,7,2,1,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,7,2,1,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,2,1,6,5,7]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,2,1,7,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,2,7,1,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,8,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,2,1,8,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,2,1,8,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,2,1,7,5,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,2,1,7,6,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,2,1,8,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,2,1,8,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,8,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,2,8,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,2,7,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,4,2,8,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,4,2,8,7,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,8,7,2,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,5,7,8,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,2,7,8,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,2,6,7,1,3]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,3,2,6,1,7,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,2,6,1,8,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,3,7,2,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,2,1,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,7,2,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,7,3,8,5,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,4,2,7,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,3,2,7,1,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,3,2,1,6,8,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,2,1,6,7,5]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,2,1,5,7,6]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,2,1,5,8,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,2,1,5,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,4,2,6,8,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,7,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,4,8,5,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,8,4,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,4,1,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,1,5,7,3,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,2,3,7,1,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,5,3,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,8,3,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,4,2,8,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,3,8,2,6,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,8,3,2,6,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,5,2,1,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,3,5,2,1,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,7,5,1,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,2,5,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,2,5,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,1,3,2,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,7,3,2,6,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,7,2,6,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,4,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,1,4,3,7,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,1,4,3,7,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,4,2,7,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,5,7,2,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,7,5,2,6,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,5,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,1,5,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,4,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,7,2,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,1,2,7,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,1,3,7,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,4,1,2,7,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,1,7,2,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,2,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,7,3,1,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,7,2,3,1,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,1,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,1,4,7,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,1,4,7,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,4,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,7,4,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,4,8,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,1,4,6,3,8,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,4,6,8,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,1,5,7,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,1,5,7,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,1,5,7,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,1,5,3,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,6,1,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,7,5,3,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,1,5,6,2,3,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,5,2,6,4,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,1,5,3,6,8,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,5,1,3,7,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,1,2,7,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,1,7,2,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,6,4,1,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,1,7,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,1,2,7,4,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,1,4,7,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,4,7,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,8,5,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,5,8,3,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,1,2,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,8,2,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,8,2,1,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,2,8,1,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,6,2,1,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,2,1,7,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,2,7,1,4,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,2,7,1,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,2,7,8,1,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,8,6,3,7,1,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,4,6,3,7,2,5]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,6,8,2,7,5,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,2,8,7,5,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,2,7,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,2,7,4,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,2,8,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,6,8,7,2,4,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,8,7,2,1,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,2,1,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,1,8,6,7,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,2,6,7,5,4]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,1,6,7,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,7,4,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,6,7,4,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,1,7,4,2,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,7,4,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,1,8,7,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,1,7,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,6,1,7,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,6,8,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,8,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,1,3,8,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,1,3,2,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,3,1,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,8,7,4,1,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,6,7,4,1,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,6,7,4,3,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,6,7,4,3,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,5,3,7,1,6,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,3,7,1,6,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,2,4,3,7,1,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,6,1,8,3,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,6,1,7,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,5,7,3,2,4,8]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,5,8,3,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,4,7,1,5,6]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,5,6,7,1,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,1,5,6,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,1,5,8,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,4,6,1,5,7]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,2,4,6,1,5,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,1,7,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,1,8,4,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,1,7,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,3,2,4,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,7,8,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,6,1,7,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,8,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,6,1,7,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,5,8,7,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,3,2,4,6,1,5]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,1,8,7,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,1,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,4,1,8,7,5,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,1,6,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,6,5,1,7,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,5,1,8,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,1,7,8,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,1,6,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,4,1,8,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,1,7,5,6,8]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,6,8,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,1,8,5,7,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,2,4,7,6,1,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,1,8,4,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,1,6,7,4,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,1,7,4,2,3,8]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,2,3,7,5,1,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,1,8,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,6,1,7,3,5,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,6,1,8,4,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,3,8,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,1,6,4,2,3,7]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,6,4,2,3,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,1,7,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,1,8,6,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,2,4,8,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,5,7,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,6,1,8,5,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,6,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,8,5,1,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,6,7,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,1,8,6,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,4,1,8,6,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,1,5,8,6,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,1,7,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,1,7,6,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,1,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,5,1,6,4,2,3]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,1,8,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,7,3,1,8,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,1,8,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,5,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,1,7,5,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,7,4,1,6,3,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,4,1,6,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,7,3,6,1,8,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,7,8,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,7,5,1,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,8,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,4,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,6,7,1,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,6,1,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,8,1,6,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,6,8,1,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,8,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,1,8,5,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,7,5,8,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,7,5,3,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,4,1,8,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,8,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,8,4,1,6,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,6,1,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,3,2,6,1,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,2,8,1,6,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,6,8,5,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,1,5,4,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,1,5,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,2,5,1,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,6,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,2,6,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,6,7,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,6,7,1,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,2,6,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,8,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,4,8,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,5,7,8,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,1,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,1,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,7,1,5,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,1,5,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,8,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,1,7,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,1,7,8,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,5,3,8,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,8,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,7,1,4,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,1,4,7,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,1,4,7,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,1,7,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,1,7,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,2,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,7,3,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,7,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,2,1,7,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,3,7,2,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,2,8,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,2,1,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,7,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,8,1,7,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,8,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,4,7,5,8,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,8,4,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,1,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,2,1,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,7,6,5,4,3,2,1,11]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,9,8,6,5,7,4,3,2]=>[.,[[[[[[[.,.],.],.],.],[.,.]],.],.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,11,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[6,2,3,1,5,4,8,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,5,2,3,1,7,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,5,3,4,1,7,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,5,3,4,1,8,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,5,2,4,3,8,7]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,1,3,2,8,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,5,3,4,2,8,7]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,5,1,4,2,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,2,4,1,7,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,5,6,2,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,2,4,1,6,5]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,1,4,2,7,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,3,4,2,7,6]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,5,1,3,2,7,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,4,5,3,7,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,7,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,7,5,6,1,4,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,7,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,4,6,2,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,4,6,1,5,2]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,1,6,4,5,2]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,3,6,4,5,2]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,5,6,3,4,2]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,5,6,1,3,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,4,7,5,6,3]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,3,4,2,6,5]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,3,6,2,5,4]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,7,1,6,2,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,2,6,4,5,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,3,6,4,5,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,3,6,1,5,4]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,1,6,3,5,4]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,2,4,3,6,5]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,2,7,4,6,5]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,3,7,4,6,5]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,2,4,3,7,6]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,7,1,4,3,6,5]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,7,3,4,1,6,5]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,5,6,3,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,5,6,2,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,2,3,1,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,1,7,4,6,5]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,1,5,4,7,6]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,3,2,8,6,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,7,2,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,1,7,5,6,4]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,7,5,6,1,4,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,7,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,7,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,6,7,3,5,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,3,7,5,6,4]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,3,2,7,5,6,4]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,7,5,6,2,4,3]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,2,6,4,5,3]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,1,6,4,5,3]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,7,4,6,1,5,3]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,7,4,6,3,5,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,2,6,3,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,2,6,1,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,4,6,2,5,3]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,7,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,5,7,3,6,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,7,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,7,4,6,3,5,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,1,6,3,5,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,3,6,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,8,3,6,1,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,8,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,6,3,2,7,1]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,7,3,6,2,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,2,8,4,6,5,3]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,8,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,2,8,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,8,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,4,6,1,5,7,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,8,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,8,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,8,4,5,7,1]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,8,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,8,4,6,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,8,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,8,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,8,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,8,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,7,1,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,8,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,8,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,7,8,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,8,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,7,8,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,1,3,8,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,5,8,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,8,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,3,5,4,1,6,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,5,3,1,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,5,8,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,1,2,8,5,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,1,8,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,6,8,4,3,5,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,8,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,5,8,1,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,8,3,4,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,8,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,8,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,3,6,5,1,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,4,1,5,6,3,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,8,3,5,6,2,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,1,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,8,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,1,8,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,3,8,4,6,5,1]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,8,4,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,8,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,4,1,6,5,3]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,4,3,1,6,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,3,2,8,5,6,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,8,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,8,2,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,3,5,1,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,3,4,5,1,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,8,4,5,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,3,8,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,8,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,1,4,8,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,3,2,4,8,6,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,5,3,4,7,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,4,5,3,7,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,8,5,3,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,2,5,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,3,2,4,6,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,1,5,2,4,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,4,8,2,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,8,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,5,4,3,6,7]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,4,3,8,6,7]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,8,5,3,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,4,8,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,7,8,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,2,7,4,8,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,5,1,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,1,5,4,7,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,5,7,4,3,6]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,8,7,5,3,6]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,4,3,7,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,2,8,7,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,2,8,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,8,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,4,2,8,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,2,8,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,2,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,1,4,2,8,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,1,4,8,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,8,1,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,2,8,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,7,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,2,8,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,2,8,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,3,2,4,8,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,3,2,4,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,3,5,8,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,7,5,8,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,1,3,7,2,4,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,5,8,7,3,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,7,3,5,4,6]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,1,3,2,4,7,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,1,7,3,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,7,4,3,6,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,8,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,4,7,5,3,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,7,5,3,4,6]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,1,5,2,4,6]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,1,4,7,2,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,4,2,7,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,2,7,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,2,8,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,1,2,8,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,4,8,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,8,7,1,6,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,1,7,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,7,6,4,3,5]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,3,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,4,1,8,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,4,1,8,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,3,4,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,4,1,6,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,4,1,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,4,1,5,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,4,1,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,8,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,3,4,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,8,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,5,1,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,5,1,6,2,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,5,1,7,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,3,5,1,8,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,3,1,7,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,1,8,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,1,7,3,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,5,1,7,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,5,1,8,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,1,8,3,7,2,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,7,3,8,2,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,2,7,3,8,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,7,3,8,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,4,8,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,8,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,8,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,8,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,1,7,3,6,2,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,8,3,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[9,2,1,3,4,5,6,7,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,2,1,3,4,5,6,7,8,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,2,3,1,4,5,6,7,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,2,3,5,6,7,8,9,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,2,5,6,7,8,9,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,4,5,6,7,8,9,10,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[6,5,3,2,1,4,8,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,5,2,4,1,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,2,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,2,4,5,3,1,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,1,4,5,2,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,4,5,2,1,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,4,3,6,1,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,4,3,6,2,5]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,5,1,4,2,6]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,8,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,8,4,7,6,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,8,1,5,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,3,5,6,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,1,2,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,4,1,6,2,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,2,5,6,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,4,2,6,3,5]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,1,2,4,7,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,7,4,5,2,3,6]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,4,5,1,3,6]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,4,1,6,3,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,3,6,2,4,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,2,1,4,7,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,5,2,1,4,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,3,6,2,1,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,8,4,5,7,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,8,4,5,7,2,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,5,1,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,8,3,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,6,1,2,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,2,5,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,1,5,6,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,1,5,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,2,5,6,7,1]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,1,6,2,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,8,6,1,7,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,8,5,6,7,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,6,8,10,1,3,5,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,4,6,9,10,1,3,5,7,8]=>[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[3,5,7,9,10,1,2,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[2,4,6,8,10,12,1,3,5,7,9,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,4,6,8,11,12,1,3,5,7,9,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[3,5,7,9,11,12,1,2,4,6,8,10]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,11),(1,8),(2,8),(3,9),(4,10),(5,7),(6,7),(6,11),(8,10),(9,10),(9,11)],12)
[4,5,7,6,2,3,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,7,2,6,4,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,7,3,6,4,8,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,7,3,6,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,3,7,6,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,3,5,4,8,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,3,6,4,8,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,4,7,6,1,5,2]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,7,1,6,5,3]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,4,7,6,8,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,7,6,8,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,6,8,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,1,3,5,8,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,7,6,1,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,7,1,6,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,7,2,6,5,3]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,3,2,7,6,5,4]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,1,7,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,8,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,3,1,7,6,5,4]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,2,1,7,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,7,6,8,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,7,8,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,7,1,6,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,2,8,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,7,1,8,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,7,1,6,8,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,5,8,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,6,8,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,8,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,7,2,6,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,7,2,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,7,6,1,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,7,8,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,8,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,8,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,7,1,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,8,2,7,6,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,1,2,7,6,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,3,7,6,5,4]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,8,3,7,6,5,4]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,8,3,7,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,8,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,2,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,3,7,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,7,6,5,4]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,7,6,5,4]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,5,6,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,1,8,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,5,8,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,1,5,8,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,5,1,8,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,1,8,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,5,1,8,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,1,8,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,5,7,6,2,3]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,1,8,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,1,8,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,8,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,1,8,2,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,6,1,8,3,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,1,3,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,6,1,2,8,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,2,8,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,1,8,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,5,8,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,3,5,7,2,6,4]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,5,7,3,6,4]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,5,8,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,5,1,8,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,1,3,8,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,6,1,4,8,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,5,3,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,4,1,3,8,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,4,3,8,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,4,3,7,6,5]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,4,2,7,6,5]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,4,2,8,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,1,2,8,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,1,2,8,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,1,2,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,1,3,8,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,1,4,3,8,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,1,4,2,8,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,3,2,8,6,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,7,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,3,8,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,2,4,8,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,3,4,8,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,1,4,8,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,2,1,8,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,1,8,3,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,2,7,3,6,4]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,2,3,7,6,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,2,3,8,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,1,3,8,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,3,1,8,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,2,4,1,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,1,4,8,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,2,4,8,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,3,2,4,7,6,5]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,4,7,6,5]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,1,3,4,8,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,1,4,8,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,6,1,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,5,8,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,5,8,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,5,8,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,5,3,1,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,5,1,8,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,1,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,3,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,6,1,5,8,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,5,8,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,5,8,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,5,8,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,5,8,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,4,3,8,7,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,6,8,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,6,8,1,5,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,8,5,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,8,5,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,8,5,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,8,5,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,8,5,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,8,5,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,1,5,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,8,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,6,8,3,5,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,3,5,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,3,1,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,1,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,8,1,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,8,5,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,8,5,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,8,5,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,8,5,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,8,1,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,1,6,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,3,6,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,1,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,8,1,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,5,2,8,7,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,6,3,8,1,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,6,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,6,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,2,8,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,4,8,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,8,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,8,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,1,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,4,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,4,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,4,8,7,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,2,8,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,4,7,3,8,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,4,5,8,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,7,3,6,8,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,3,4,8,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,3,7,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,6,3,8,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,4,8,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,3,4,8,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,4,5,8,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,4,7,3,8,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,7,5,8,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,3,7,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,1,3,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,1,8,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,1,3,8,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,4,8,3,6,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,1,5,8,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,4,5,8,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,1,3,4,8,2,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,1,3,7,2,4,6]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,3,2,8,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,1,5,8,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,3,4,1,8,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,5,2,1,8,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,4,8,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,4,8,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,8,3,6,1,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,8,7,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,4,8,7,1,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,8,7,2,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,5,1,3,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,5,1,3,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,1,5,4,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,2,1,5,4,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,1,5,4,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,1,6,4,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,5,1,6,3,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,1,5,6,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,1,4,6,5,7]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,2,1,4,5,7,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,2,1,4,5,8,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,1,4,6,8,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,1,4,6,7,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,4,7,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,4,7,5,6]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,5,7,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,5,1,7,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,5,1,8,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,1,5,8,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,1,4,8,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,7,5,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,1,6,8,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,7,6,1,8,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,7,6,8,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,6,7,1,2,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,6,1,7,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,1,6,7,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,7,5,6,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,7,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,7,4,6,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,6,4,7,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,1,6,4,8,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,7,6,1,3,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,6,1,3,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,8,7,1,3,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,8,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,8,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,7,1,3,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,1,8,4,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,1,8,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,1,8,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,3,8,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,8,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,1,8,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,6,8,5,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,1,8,7,4,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,8,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,6,8,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,7,1,8,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,1,7,8,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,6,8,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,4,8,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,2,7,8,5,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,8,5,4,2,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,5,4,8,6,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,7,5,4,8,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,7,5,4,6,1,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,7,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,3,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,5,4,8,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,5,4,8,7,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,5,8,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,5,7,3,6,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,5,4,8,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,6,2,8,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,1,8,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,5,4,1,6,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,1,6,4,3,2,8]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,7,4,3,2,8]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,6,4,3,2,7]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,1,5,8,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,1,5,7,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,8,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,7,4,3,2,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,6,4,3,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,8,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,5,6,3,8,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,6,7,5,8,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,1,5,4,6,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,5,4,6,8,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,5,6,3,7,4]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,5,7,3,8,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,5,6,3,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,1,5,7,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,3,7,8,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,6,8,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,6,3,7,1,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,6,4,8,7,2,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,6,7,3,8,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,1,3,7,2,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,5,2,3,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,5,2,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,5,8,3,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,5,4,1,8,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,5,4,1,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,3,8,1,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,4,7,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,7,4,3,2,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,8,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,8,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,7,8,4,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,7,5,1,3,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,4,1,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,5,1,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,5,8,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,4,3,2,8]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,5,3,6,7,8,9,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,6,7,8,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,1,2,3,4]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,4,5,1,2,3]=>[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[9,8,7,6,5,4,1,2,3]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,3,4,1,2]=>[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,8,9,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,1,2,3,4,5,6,7]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,7,6,5,4,1,2,3]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,10,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,6,2,7,1,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,2,5,4,1,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,5,4,1,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,6,2,8,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,5,4,7,8,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,4,5,1,3,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,8,5,1,3,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,8,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,4,1,7,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,5,8,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,4,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,7,2,5,8,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,6,1,7,5,3,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,4,1,6,3,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,6,2,8,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,4,3,8,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,6,3,5,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,8,4,3,6,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,2,7,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,4,1,6,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,2,7,1,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,2,7,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,6,2,8,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,1,7,8,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,1,6,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,2,1,8,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,1,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,8,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,2,8,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,3,2,1,7,5]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,3,2,1,7,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,3,2,1,8,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,2,1,8,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,8,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,2,1,6,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,2,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,2,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,7,8,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,7,8,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,7,2,8,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,1,7,4,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,1,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,5,2,1,8,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,4,1,3,7,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,8,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,7,8,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,2,8,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,2,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,3,2,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,3,2,1,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,3,2,1,5,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,1,4,7,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,8,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,1,4,6,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,5,4,3,2,1,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,8,9,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,7,6,5,4,3,2,1,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,8,5,4,3,2,1,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,8,7,9,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,7,9,8,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,9,10,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,7,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,1,6,3,2,8,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,6,2,3,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,6,2,8,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,6,2,8,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,6,5,1,8,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,1,8,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,5,1,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,4,1,5,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,1,4,8,5,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,1,4,8,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,1,8,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,1,8,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,6,1,5,8,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,4,1,8,5,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,7,6,3,8,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,6,3,8,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,6,2,8,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,4,1,8,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,1,8,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,1,8,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,8,7,6,1,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,5,7,1,6]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,5,4,8,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,3,5,8,7,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,4,5,8,7,3,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,5,8,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,4,8,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,4,8,7,5,6,1]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,7,5,1,6]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,6,5,4,8,1,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,6,8,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,6,8,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,6,8,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,1,5,8,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,5,8,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,5,8,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,1,6,3,8,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,1,5,8,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,5,8,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,5,8,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,8,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,8,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,4,5,8,3,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,6,1,8,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,5,8,6,3,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,4,8,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,4,8,5,6,1,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,7,1,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,1,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,1,6,7,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,5,1,7,6]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,4,8,2,7,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,5,8,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,5,8,3,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,5,8,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,8,2,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,8,5,1,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,1,6,5,7]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,8,1,5,7,6]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,2,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,6,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,6,7,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,7,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,7,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,1,5,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,7,1,6,3,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,7,5,6,3,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,7,5,6,3,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,7,4,6,3,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,7,4,6,3,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,7,1,6,3,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,2,6,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,7,2,6,3,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,7,5,6,2,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,7,5,6,2,3]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,7,5,6,2,4]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,1,7,5,6,2,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,7,4,6,2,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,7,4,6,2,5]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,7,2,6,4,5]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,7,2,6,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,1,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,4,6,1,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,5,6,1,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,5,6,1,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,7,5,6,1,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,7,5,6,1,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,7,5,6,1,3]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,3,7,5,6,1,4]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,7,4,6,1,5]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,3,7,1,6,4,5]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,7,3,6,4,5]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,2,8,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,1,8,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,8,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,4,5,2,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,4,2,8,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,7,3,8,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,3,5,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,8,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,8,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,1,8,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,3,7,8,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,7,8,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,3,5,6,8,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,3,7,8,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,5,4,7,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,1,4,8,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,8,6,1,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,3,5,7,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,7,8,3,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,1,3,6,7,2,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,8,1,2,7,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,2,8,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,3,6,2,7,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,7,4,2,6,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,1,4,2,6,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,2,8,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,1,4,2,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,4,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,1,7,3,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,1,2,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,1,8,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,2,7,5,1,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,8,2,7,1,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,6,2,8,1,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,6,8,1,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,6,1,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,2,3,4,5,6,7,8,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,2,3,4,5,6,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,8,9,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,9,1,2,3,4,5,6,7,10]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,2,3,4,5,6,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,8,2,9,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,7,9,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,9,10,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,11,2,3,4,5,6,7,8,9,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[3,6,4,8,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,4,3,8,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,4,7,8,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,4,8,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,2,8,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,2,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,8,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,8,7,1,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,8,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,3,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,4,2,8,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,2,7,3,6,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,5,1,8,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,4,8,2,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,7,5,3,2,6,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,3,4,2,8,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,5,3,2,8,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,6,4,1,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,6,2,5,8,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,2,5,8,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,8,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,4,5,6,8,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,3,6,5,7,4]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,2,7,5,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,4,1,7,5,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,5,8,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,3,7,2,8,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,3,4,8,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,4,5,2,8,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,5,4,2,7,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,3,8,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,4,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,6,4,7,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,7,4,3,1,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,8,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,8,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,8,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,7,8,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,5,3,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,3,1,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,5,3,8,1,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,5,8,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,2,8,5,7,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,5,3,2,7,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,5,1,2,4,7,3]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,8,2,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,5,7,6,2,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,8,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,5,6,2,7,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,5,2,1,4,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,5,6,1,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,5,6,3,7,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,5,6,3,7,4]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,5,7,6,3,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,8,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,5,7,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,5,7,1,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,8,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,6,8,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,3,7,8,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,5,8,1,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,8,5,7,6,1,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,5,7,6,3,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,8,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,6,5,7,3,4]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,3,6,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,5,6,3,7,1,4]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,6,5,4,1,8,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,5,4,7,8,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,3,4,7,8,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,2,4,1,8,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,3,7,1,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,1,2,6,7,8,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,5,7,3,2,4]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,8,6,2,7,1,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,5,6,3,7,2,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,6,5,4,2,8,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,4,2,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,4,2,6,5,8,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,3,5,6,8,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,1,5,6,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,6,4,1,2,8,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,1,5,2,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,4,5,2,8,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,6,5,7,2,4]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,1,6,5,7,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,5,7,6,2,4]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,4,3,7,8,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,2,1,8,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,2,6,5,7,1,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,2,5,1,8,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,4,3,5,7,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,4,5,7,8,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,4,5,1,8,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,6,5,7,1,4]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,3,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,7,8,5,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,2,5,1,6,8]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,2,4,7,1,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,7,5,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,5,8,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,6,5,1,4,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,8,6,4,1,5,7]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,2,5,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,2,5,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,5,8,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,8,6,4,7,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,6,8,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,6,7,4,5,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,5,8,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,7,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,7,4,2,8,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,6,4,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,5,1,8,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,1,4,2,3,8]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,4,5,1,7,6]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,4,3,1,5,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,8,3,1,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,7,4,8,2,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,4,1,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,3,6,1,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,8,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,1,6,5,3,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,2,8,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,3,6,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,1,4,5,6,3,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,1,5,4,6,3,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,1,8,5,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,6,1,5,8,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,6,4,3,8,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,1,8,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,4,8,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,1,5,7,4,2,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,7,4,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,7,5,6,4,8,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,6,4,8,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,8,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,5,7,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,7,5,8,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,6,2,7,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,5,6,3,2,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,5,4,8,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,5,7,2,4,3]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,8,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,5,3,8,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,7,5,6,8,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,1,7,6,8,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,6,2,7,3,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,4,2,7,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,3,7,4,5,1]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,1,7,2,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,1,8,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,4,1,8,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,4,8,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,8,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,2,8,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,4,3,8,2,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,3,7,2,6,4]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,2,1,7,3,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,2,1,8,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,4,2,8,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,1,5,8,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,8,4,5,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,8,5,3,4,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,8,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,8,6,7,5,2,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,8,6,7,3,5,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,8,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,8,5,6,7,2,1]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,8,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,8,6,7,2,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,8,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,5,8,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,5,7,4,6,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,7,5,6,2,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,8,7,4,6,3,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,5,7,6,2,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,8,7,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,8,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,6,3,2,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,6,3,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,1,4,3,5,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,1,4,3,8,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,4,3,6,5,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,2,4,1,3,8,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,4,1,3,5,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,6,4,3,5,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,4,3,5,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,1,3,5,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,2,1,3,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,2,1,3,5,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,1,3,6,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,2,1,6,3,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,2,1,8,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,1,4,3,8,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,4,3,8,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,8,4,3,6,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,1,4,3,6,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,1,3,6,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,2,1,3,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,2,1,4,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,1,4,3,5,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,1,4,6,3,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,1,4,8,3,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,1,8,3,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,8,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,2,8,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,1,8,3,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,4,1,8,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,1,6,8,3,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,6,3,8,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,3,6,8,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,3,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,3,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,3,8,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,1,8,3,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,1,8,6,3,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,1,6,4,3,5,7]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,6,1,4,3,5,7]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,8,1,3,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,8,1,3,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,8,3,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,8,3,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,4,8,6,3,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,8,1,6,3,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,8,6,1,3,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,6,1,3,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,4,6,2,1,3,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,8,2,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,8,4,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,8,1,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,8,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,8,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,8,6,4,3,5,7]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,6,4,1,3,5,7]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,2,1,3,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,1,5,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,3,8,1,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,1,5,3,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,6,1,5,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,2,8,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,2,6,5,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,6,1,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,1,7,2,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,1,5,2,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,3,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,3,2,7,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,5,4,8,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,6,8,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,7,6,8,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,8,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,5,8,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,4,7,2,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,8,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,3,8,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,5,8,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,4,6,3,7,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,1,3,2,7,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,6,3,4,2,7,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,3,7,2,5,4]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,5,1,7,2,6,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,5,2,6,1,7,4]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,2,6,4,8,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,6,3,5,1,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,1,5,3,6,4]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,4,1,5,3,7,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,1,7,3,6,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,3,6,1,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,2,8,4,6,1,7,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,1,5,4,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,6,8,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,1,8,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,5,8,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,7,2,4,3,8,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,1,8,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,8,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,3,8,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,3,2,8,5,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,8,5,6,2,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,2,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,8,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,7,4,5,3,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,7,2,6,3,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,8,2,6,1,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,6,5,8,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,7,4,8,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,1,8,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,4,8,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,1,8,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,8,1,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,3,1,5,4,6,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,4,7,1,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,8,3,5,7,6,1]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,3,1,8,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,8,5,3,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,3,8,2,6,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,8,3,2,6,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,4,3,2,6,7]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,4,3,2,6,7]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,3,8,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,7,3,8,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,1,4,7,8,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,5,7,3,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,3,7,4,6,2]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,4,7,6,5,2,1]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,5,3,7,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,1,7,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,4,1,3,8,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,6,3,2,8,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,1,7,8,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,4,6,3,1,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,8,4,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,4,8,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,3,4,1,8,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,3,1,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,8,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,7,3,5,8,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,3,6,2,4,5]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,7,3,5,6,4]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,8,2,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,6,3,5,4,1]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,7,4,5,6,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,1,5,6,2,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,1,2,7,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,7,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,5,2,6,7,4,3]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,1,8,6,7,4,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,7,6,4,3,1]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,5,2,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,1,6,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,1,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,8,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,1,5,3,4,2]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,6,4,5,3,2]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,5,6,4,3,2]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,6,7,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,2,1,4,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,2,8,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,7,4,3,1,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,3,6,1,2,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,4,6,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,7,2,1,6]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,6,3,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,4,6,3,7,1,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,4,7,3,6,2,5]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,7,5,1,2,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,4,7,3,2,6]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,7,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,5,7,4,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,7,1,8,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,4,7,8,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,4,7,5,8,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,6,8,3,7,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,3,5,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,7,1,2,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,6,4,1,7,2,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,2,5,7,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,4,1,3,6]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,6,4,1,3,5]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,7,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,3,7,8,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,6,2,1,4,7,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,7,6,2,1,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,2,8,7,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,7,5,4,8,1,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,7,4,5,8,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,5,1,8,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,7,5,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,7,3,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,3,6,1,2,8,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,7,2,5,6,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,1,6,5,8,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,2,1,8,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,5,8,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,4,8,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,1,8,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,4,7,1,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,1,5,7,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,5,7,6,8,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,1,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,4,2,1,6,5,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,2,6,4,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,1,5,6,4,3,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,3,8,2,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,5,7,1,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,1,7,4,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,5,7,4,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,5,7,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,6,7,3,8,1,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,3,8,5,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,7,8,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,6,7,8,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,6,7,8,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,1,6,7,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,1,7,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,7,1,8,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,6,7,8,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,5,7,2,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,6,7,2,8,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,5,2,7,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,2,1,7,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,2,7,8,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,2,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,5,7,3,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,6,7,8,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,7,8,4,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,7,1,8,5,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,7,8,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,4,1,6,3,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,4,1,6,3,8,5,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,4,1,6,3,8,5,10,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[7,1,2,3,4,5,6,8,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,4,3,6,2,5,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,7,2,5,6,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,7,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,7,2,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,7,4,8,2,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,2,6,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,4,8,2,6,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,8,3,7,2,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,5,8,4,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,4,5,2,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,4,5,3,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,4,1,6,5,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,6,1,5,7,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,1,6,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,4,7,6,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,1,8,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,8,2,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,4,2,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,3,8,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,3,8,5,2,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,4,1,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,3,8,4,7,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,8,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,4,2,8,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,4,2,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,8,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,3,8,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,3,8,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,8,3,7,6,5]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,1,3,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,3,7,1,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,3,7,6,1,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,1,3,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,3,8,4,7,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,3,7,6,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,3,7,1,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,3,7,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,8,2,3,7,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,3,7,2,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,1,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,8,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,8,2,7,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,1,2,8,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,6,4,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,8,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,5,8,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,2,8,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,1,8,7,3,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,5,8,2,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,2,6,1,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,1,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,1,7,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,4,8,7,2,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,8,2,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,1,2,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,2,7,1,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,2,7,6,1,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,1,2,7,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,5,4,1,8,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,5,4,2,7,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,5,4,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,2,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,5,4,7,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,6,1,4,7,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,2,4,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,1,7,3,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,7,5,8,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,7,4,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,7,4,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,5,3,8,4,2]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,6,5,3,8,1,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,5,2,4,8,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,6,5,3,1,4,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,4,8,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,6,4,8,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,6,3,8,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,6,2,4,8,3,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,5,2,1,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,5,2,8,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,5,1,8,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,5,2,8,3,4]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,5,3,2,8,4]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,6,5,1,2,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,5,3,1,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,5,4,8,7,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,4,1,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,4,7,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,6,3,4,8,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,2,4,8,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,4,2,8,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,2,6,3,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,1,5,3,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,1,6,2,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,6,8,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,6,7,4,8,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,7,4,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,5,4,6,1,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,3,5,8,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,5,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,5,2,4,1,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,5,1,4,8,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,5,2,1,8,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,5,8,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,5,8,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,5,1,2,4,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,6,8,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,6,8,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,1,4,3,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,8,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,8,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,1,7,4,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,7,3,5,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,1,5,4,2,8,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,1,5,2,7,6,3]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,1,3,7,6,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,7,2,1,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,5,3,1,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,5,4,1,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,3,2,1,8,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,1,8,4,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,3,2,8,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,2,4,8,3,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,3,6,4,8,1,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,5,3,8,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,5,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,1,6,5,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,6,1,5,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,7,4,3,6,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,7,2,4,6,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,1,7,2,5,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,6,7,1,3,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,7,5,8,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,6,8,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,8,1,4,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,8,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,8,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,1,8,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,5,7,3,6,2]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,6,8,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,7,4,8,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,5,8,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,1,8,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,8,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,8,1,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,8,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,8,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,7,1,3,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,6,1,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,6,5,1,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,6,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,7,6,1,3,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,7,2,6,1,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,8,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,5,1,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,6,5,4,1,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,2,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,1,4,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,1,2,3,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,2,5,1,3,6,7,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,2,1,5,6,7,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,7,8,1,2,3,4,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,3,2,6,1,4,7,8,9]=>[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,4,3,2,1,6,7,8,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,4,3,2,7,1,5,8,9]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[6,5,4,3,2,1,7,8,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,5,4,3,2,8,1,6,9]=>[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[7,6,5,4,3,2,1,8,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,6,5,4,3,2,9,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[3,4,1,2,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,2,1,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,5,6,1,2,3,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,3,2,1,5,6,7,8,9,10]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,6,7,8,1,2,3,4,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,4,3,2,1,6,7,8,9,10]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,4,3,2,1,7,8,9,10]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,4,3,2,1,8,9,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,7,6,5,4,3,2,1,9,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,6,5,1,2,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,8,2,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,7,2,4,1,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,4,3,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,5,4,3,8,7]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,4,6,3,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,6,5,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,7,8,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,8,7,3,2,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,8,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,4,8,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,3,8,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,8,7,3,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,8,4,7,2,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,5,2,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,6,3,2,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,3,7,5,8,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,8,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,5,8,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,4,3,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,2,4,1,6,5]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,3,4,8,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,2,4,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,4,3,8,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,5,7,6,4]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,6,7,5,4]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,3,6,8,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,8,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,7,5,6,4]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,6,5,7,4]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,7,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,1,4,2,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,1,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,1,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,8,2,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,7,1,4,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,8,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,7,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,7,5,4,3,2,6]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,4,5,3,2,6]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,3,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,2,4,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,4,3,6,1,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,3,5,6,8,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,8,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,3,7,8,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,3,8,7,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,3,8,6,7,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,5,8,7,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,4,3,1,7,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,6,3,2,4,8,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,4,8,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,2,4,7,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,2,4,3,1,8,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,2,3,5,7,8,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,3,6,8,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,5,4,7,3,6]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,8,5,4,2,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,6,8,4,7,1,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,8,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,8,1,7,3,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,5,7,6,1,2]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,6,8,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,4,2,6,3,5,8]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,4,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,8,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,7,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,6,5,4,2,8]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,1,6,5,4,2,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,3,6,5,4,8]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,8,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,2,7,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,7,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,1,7,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,1,7,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,4,1,2,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,3,8,5,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,8,7,6,3,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,8,7,4,6,1]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,3,8,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,4,1,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,7,1,4,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,4,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,7,6,3,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,7,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,6,5,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,7,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,1,2,4,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,3,1,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,2,4,3,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,2,5,8,7,4,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,8,7,4,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,8,7,2,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,3,1,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,6,2,1,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,7,6,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,6,5,1,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,4,8,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,3,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,1,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,8,2,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,7,8,1,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,1,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,6,7,3,5,4]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,2,6,7,5,3,4]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,7,1,3,6,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,1,6,7,3,5,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,3,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,4,7,1,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,3,4,1,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,6,7,5,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,7,1,6,3,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,7,2,3,6,1,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,5,7,4,1,6,2]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,4,7,1,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,3,5,7,1,6,4]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,4,7,3,6,1,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,1,4,6,3,5]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,2,4,6,3,5]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,4,6,2,3,5]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,1,3,6,2,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,5,7,1,2,6,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,7,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,7,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,7,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,4,7,2,6,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,8,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,5,8,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,2,8,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,5,7,2,6,3]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,7,1,6,2,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,7,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,7,3,1,6,2]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,2,5,7,1,6,3]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,4,7,2,6,1,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,3,4,6,2,5]=>[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,7,2,4,6,1,5]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,5,7,1,6,3]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,3,4,5,1,6,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,5,2,6,1,3]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,3,4,6,1,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,3,6,1,4,5]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,8,5,4,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,5,3,7,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,8,4,3,1,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,8,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,8,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,1,8,2,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,5,2,3,7,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,3,2,7,6]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,2,8,1,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,2,8,7,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,3,2,8,7,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,2,1,7,8,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,2,7,8,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,3,2,7,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,2,7,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,4,3,7,2,5]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,4,3,6,5,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,1,3,6,5,8]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,4,2,6,1,5,8]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,3,2,6,5,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,2,6,4,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,2,5,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,2,1,5,4,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,6,2,3,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,7,5,6,2,4,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,5,6,1,3,4,8]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,5,7,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,5,7,2,8,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,4,7,2,8,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,1,7,2,8,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,4,6,2,1,8,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,5,7,1,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,1,7,8,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,6,7,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,6,8,7,3,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,6,8,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,6,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,8,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,1,8,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,8,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,8,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,8,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,8,6,7,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,2,8,6,7,4,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,8,6,7,1,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,2,6,7,4,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,8,7,1,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,7,6,1,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,8,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,8,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,1,8,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,8,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,8,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,7,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,8,6,1,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,7,6,2,4,3]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,6,8,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,7,6,8,3,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,7,6,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,5,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,6,5,1,8,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,4,3,1,8,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,7,4,3,8,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,7,5,3,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,5,1,4,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,7,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,6,5,4,3,2]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,6,1,5,4,3,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,5,1,4,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,5,3,1,2,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,3,1,5,7,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,1,5,2,7,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,1,3,2,7,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,3,1,7,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,1,5,2,4,6]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,1,7,2,4,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,2,4,5,3,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,2,4,7,3,5]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,1,2,6,7,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,6,4,2,7,3]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,3,6,4,7,2]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,1,5,3,4,7,2]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,1,5,2,4,7,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,5,7,3,4]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,7,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,1,2,5,4,3,6]=>[[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,2,3,8,6,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,2,7,3,6,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,5,8,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,8,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,1,7,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,5,7,2,4,6,3]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,2,7,6,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,3,8,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,7,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,2,8,7,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,4,8,7,5,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,4,6,7,5,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,7,6,4,8,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,2,4,6,8,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,6,8,5,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,8,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,4,8,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,6,4,7,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,1,3,8,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,1,8,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,5,3,2,8,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,4,5,2,8,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,3,1,5,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,4,5,2,6,3]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,5,3,2,6,4]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,7,1,2,6,4,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,8,4,7,5,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,8,6,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,2,6,4,5,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,3,8,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,7,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,3,4,7,6,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,6,4,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,6,7,4,5,3]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,2,8,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,5,8,4,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,5,8,6,4,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,2,8,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,8,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,7,8,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,7,6,4,5,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,7,4,6,5,3]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,7,3,6,5,4]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,5,8,7,4,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,8,5,4,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,1,4,2,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,4,1,8,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,1,2,8,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,6,1,2,8,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,4,2,6,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,6,4,8,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,6,4,1,8,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,6,4,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,8,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,8,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,6,4,2,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,8,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,8,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,6,1,4,2,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,8,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,8,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,4,1,8,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,1,8,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,1,8,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,8,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,3,8,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,6,1,8,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,6,8,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,2,8,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,2,8,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,4,8,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,4,8,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,4,1,6,8,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,1,4,6,8,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,2,5,4,1,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,8,4,7,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,3,2,8,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,3,2,1,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,2,6,4,1,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,3,2,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,3,8,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,3,7,5,2,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,3,2,7,6,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,8,4,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,7,4,8,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,3,2,8,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,5,3,2,8,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,3,8,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,2,6,8,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,6,7,5,4,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,6,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,3,7,5,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,3,2,7,6,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,3,6,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,6,3,7,5,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,6,3,8,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,6,8,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,2,6,7,5,4,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,5,4,7,6,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,8,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,8,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,3,8,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,3,2,8,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,5,4,8,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,7,5,4,8,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,8,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,8,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,8,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,3,8,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,1,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,1,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,1,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,1,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,1,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,1,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,1,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,7,1,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,8,7,1,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,7,8,1,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,3,4,5,6,7,9,8,1]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,6,8,3,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,2,4,7,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,4,1,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,5,7,3,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,2,8,3,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,8,3,7,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,6,8,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,8,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,6,8,5,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,3,8,2,6,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,8,3,2,1,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,7,2,6,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,2,7,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,2,1,8,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,2,5,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,7,8,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,2,7,8,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,1,4,8,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,3,8,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,5,1,2,7,6,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,3,1,7,2,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,3,5,2,7,6]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,1,5,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,5,2,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,6,4,2,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,4,2,8,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,6,2,7,5,4]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,8,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,4,3,8,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,2,8,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,1,3,2,6,8,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,3,2,7,4,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,3,2,1,8,5,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,2,7,4,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,7,4,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,3,1,6,4,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,3,8,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,3,7,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,2,8,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,8,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,7,8,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,1,7,8,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,1,7,3,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,8,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,2,1,8,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,2,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,8,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,1,2,4,5,3]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,6,2,1,4,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,7,5,1,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,6,5,2,1,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,5,2,4,1,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,2,5,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,1,6,5,3,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,8,1,7,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,4,1,7,6,3,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,1,5,6,2,4,3]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,7,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,6,4,3,7,5]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,1,7,5,4,3,6]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,8,6,4,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,6,4,3,1,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,7,5,4,3,1,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,6,5,4,3,7]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,5,4,3,8,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,4,3,8,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,8,3,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,6,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,8,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,6,5,2,4,3]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,3,2,6,5,4]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,3,2,8,7,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,3,2,1,7,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,3,2,1,7,4,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,5,4,1,7,2,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,5,1,7,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,1,7,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,3,2,7,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,7,2,5,8,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,8,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,1,8,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,3,1,8,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,2,5,4,6,3]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,3,7,2,6,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,1,8,7,5,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,8,6,3,5,2,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,6,3,5,2,1,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,5,6,8,4,2,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,8,7,1,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,4,6,8,7,2,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,8,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,4,8,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,6,7,5,3,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,6,4,8,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,8,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,2,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,5,2,8,1,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,7,2,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,3,8,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,7,3,5,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,4,7,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,4,1,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,2,1,8,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,6,4,3,1,5,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,4,1,5,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,2,1,4,6,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,7,1,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,1,6,5,3,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,1,5,7,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,7,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,1,7,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,2,8,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,4,6,7,3,5]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,5,4,7,1,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,8,6,4,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,6,4,3,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,7,8,4,3,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,8,3,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,6,3,5,2,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,4,6,3,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,8,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,6,4,2,3,5,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,2,4,7,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,2,4,5,7,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,7,1,4,5,8,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,6,4,5,2,3,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,5,6,8,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,6,5,8,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,3,8,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,5,4,3,8,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,3,4,2,6,8,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,4,6,2,8,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,6,4,3,8,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,5,4,3,2,8]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,5,4,3,7,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,1,7,4,3,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,1,4,7,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,1,4,8,6,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,4,7,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,2,4,8,7,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,2,8,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,2,5,8,1,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,1,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,1,2,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,1,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,1,5,6,4,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,1,5,4,2,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,7,6,8,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,7,5,6,8,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,5,7,6,2,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,4,1,6,2,8,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,2,5,3,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,8,1,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,1,5,3,7,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,1,3,8,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,3,4,8,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,6,4,1,3,8,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,5,2,1,3,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,3,7,2,6,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,5,2,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,4,3,1,5,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,8,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,4,1,6,5,8]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,3,6,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,2,7,1,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,5,2,1,7,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,4,2,8,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,7,2,5,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,8,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,5,8,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,4,3,7,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,2,4,7,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,2,4,7,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,2,4,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,7,2,4,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,2,4,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,4,6,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,2,4,6,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,8,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,6,2,4,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,2,8,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,3,4,2,8,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,4,3,8,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,2,4,8,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,3,4,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,2,3,8,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,2,8,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,6,5,2,8,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,5,2,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,2,8,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,6,2,8,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,6,2,4,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,2,3,7,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,2,3,7,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,6,2,8,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,3,5,2,8,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,8,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,2,3,7,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,2,3,7,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,8,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,3,2,4,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,3,4,2,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,7,4,2,3,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,2,3,8,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,4,2,8,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,2,8,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,4,2,3,8,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,6,1,4,8,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,6,1,4,8,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,1,6,7,5,3]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,1,4,2,7,5,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,1,4,2,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,4,3,5,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,1,4,3,5,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,4,3,5,8,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,1,6,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,6,3,5,8,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,7,6,5,8,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,4,3,5,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,4,3,5,8,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,4,3,5,8,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,4,2,7,5,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,3,7,2,5,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,3,8,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,3,8,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,4,2,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,3,1,2,8,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,4,2,7,5,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,1,3,7,2,5,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,1,3,6,2,5,4]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,3,7,2,5,6]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,4,7,6,1,5]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,4,6,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,4,6,8,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,7,8,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,3,8,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,6,8,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,4,8,6,1,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,4,8,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,4,2,8,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,4,3,8,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,8,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,3,7,2,5,6]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,3,4,7,6,1,5]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,7,8,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,4,8,6,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,6,3,8,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,2,6,3,8,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,6,8,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,5,6,8,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,3,8,5,6,1,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,8,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,7,5,6,1,4]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,8,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,4,2,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,1,8,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,8,5,2,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,8,5,6,1,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,3,6,2,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,8,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,3,8,7,6,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,8,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,3,6,2,5,4]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,6,8,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,7,6,8,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,4,6,5,8,1,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,4,8,6,7,1,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,6,5,7,1,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,4,7,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,7,5,8,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,8,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,4,6,5,7,2,3]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,4,8,6,7,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,5,4,6,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,5,2,4,3,6]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,2,6,5,7,3,4]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,8,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,6,5,8,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,7,6,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,6,8,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,8,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,8,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,6,8,2,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,8,1,3,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,7,2,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,4,2,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,5,6,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,1,6,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,1,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,1,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,8,1,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,2,5,6,7,8,9,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[3,4,1,5,6,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,1,6,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,6,1,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,6,7,1,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,6,7,1,2,9,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,8,1,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,6,7,8,1,2,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,8,9,1,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,6,2,3,8,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,3,2,8,6,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,7,6,2,5,8,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,5,3,7,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,5,3,7,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,5,2,6,8,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,7,4,2,6,8,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,6,4,3,7,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,4,3,7,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,7,3,2,5,8,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,2,4,8,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,3,2,8,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,3,2,4,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,5,4,3,1,8,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,3,1,9,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,9,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,4,3,1,10,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,7,6,5,4,3,9,8,2]=>[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,1,5,4,3,8,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,4,8,1,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,4,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,4,3,7,1,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,9,6,5,4,3,2,8,7]=>[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[8,10,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,1,4,3,8,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,8,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,4,3,7,6,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,5,4,7,2,1,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,11,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[7,6,5,1,3,8,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,8,3,7,6,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,4,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,2,3,7,6,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,3,4,7,2,6,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,7,3,2,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,6,8,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,7,5,2,6,1,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,6,8,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,6,5,2,1,7,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,7,5,6,1,3,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,5,1,8,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,8,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,6,7,4,3,5,1]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,5,2,4,1,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,3,6,4,1,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,5,3,2,8,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,1,4,6,5,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,2,4,3,8,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,7,6,8,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,8,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,4,8,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,8,2,5,4,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,7,4,1,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,7,5,1,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,6,2,3,1,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,1,2,5,6,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,7,3,5,6,1]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,4,2,5,6,3]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,8,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,5,8,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,8,7,4,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,6,7,4,1,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,3,2,8,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,1,8,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,7,2,8,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,7,3,5,6,1]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,2,8,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,4,8,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,3,4,8,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,5,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,4,5,8,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,3,6,7,5,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,6,4,7,5,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,8,2,6,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,5,8,7,1,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,1,5,8,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,7,6,1,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,6,8,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,6,4,7,3,2,5]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,1,2,3,8,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,8,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,8,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,5,8,4,1,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,1,5,2,3,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,7,5,6,1,2,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,8,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,8,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,4,1,5,6,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,2,7,3,5,6,1]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,7,2,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,7,2,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,7,1,5,6,4]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,8,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,6,7,3,1,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,8,2,7,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,7,1,5,6,4]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,7,3,5,6,4]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,3,2,8,5,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,6,2,1,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,2,8,3,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,7,5,1,8,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,4,3,8,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,8,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,4,5,3,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,1,2,5,4,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,6,2,5,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,6,1,4,5,2,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,6,8,4,5,1,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,5,4,3,8,1,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,7,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,4,3,1,6,2,5]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,3,8,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,3,4,8,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,6,1,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,5,7,2,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,6,8,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,8,7,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,3,1,6,7,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,6,3,4,7,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,8,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,3,8,5,6,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,5,2,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,8,1,3,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,2,3,6,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,2,5,6,7,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,1,5,6,7,4]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,5,6,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,3,1,5,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,3,5,6,7,4]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,7,8,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,1,8,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,1,8,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,4,1,2,6,7,5]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,2,3,6,7,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,6,7,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,6,8,4,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,3,7,1,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,3,2,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,4,3,8,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,1,8,6,3,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,3,6,2,7,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,5,1,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,6,5,8,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,5,8,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,7,3,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,8,6,1,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,6,1,4,7,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,5,4,1,2,7,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,1,8,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,6,2,8,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,3,8,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,6,3,7,1,5,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,5,8,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,5,1,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,4,8,1,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,8,2,6,7,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,5,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,5,2,6,7,1]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,8,5,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,8,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,1,5,8,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,5,1,6,7,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,8,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,5,8,6,2,7,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,4,8,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,8,1,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,2,8,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,8,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,8,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,1,6,2,3,8,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,6,8,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,1,8,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,7,1,2,8,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,7,8,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,7,1,4,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,8,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,4,8,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,4,7,3,5,2]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,1,4,8,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,7,1,4,8,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,1,5,8,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,5,3,8,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,3,7,6,2]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,3,7,2,6]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,5,3,8,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,5,3,2,6,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,3,2,6,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,4,2,5,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,3,1,2,7,4,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,8,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,5,4,3,6]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,5,4,6,3]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,2,5,4,8,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,8,1,4,7,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,2,7,8,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,4,2,6,8,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,4,2,5,7,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,1,5,3,2,8,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,1,5,2,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,1,5,7,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,5,3,6,2,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,3,6,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,3,6,7,2]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,5,3,6,8,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,1,5,7,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,8,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,5,1,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,5,6,2,3,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,5,6,1,8,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,3,8,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,8,4,6,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,3,8,6,7,1,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,1,8,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,3,8,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,8,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,8,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,6,5,7,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,8,6,7,2,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,4,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,2,8,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,1,8,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,5,2,7,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,5,1,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,8,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,3,6,1,5,4,7]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,4,1,6,5,7]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,2,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,5,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,8,6,7,2,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,3,6,2,7,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,8,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,4,7,3,5,1,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,3,6,4,5,1,8]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,6,4,8,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,2,8,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,8,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,8,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,6,3,8,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,7,5,6,3,4,1,8]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,2,5,3,4,1,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,5,3,8,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,3,1,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,2,7,5,6,1,8]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,7,5,8,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,8,1,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,1,7,5,8,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,8,4,7,5,6]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,2,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,6,7,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,1,4,3,7,5,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,5,4,6,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,2,7,3,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,1,8,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,8,2,7,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,8,6,7,2,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,1,8,6,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,8,1,6,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,5,1,6,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,8,1,6,3,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,1,8,2,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,5,8,4,6,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,1,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,3,7,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,1,7,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,1,8,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,3,8,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,2,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,2,8,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,3,8,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,5,2,6,3,4]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,5,2,3,6,4]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,2,3,1,7,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,3,7,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,7,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,8,7,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,5,1,6,3,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,2,1,4,6,3,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,1,7,6,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,7,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,7,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,7,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,1,3,7,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,4,1,2,3,6,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,1,2,6,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,1,7,2,6,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,1,2,7,6,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,3,7,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,1,3,2,7,6,4]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,7,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,4,2,7,6,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,4,7,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,5,8,4,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,6,4,1,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,5,1,6,2,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,5,1,2,6,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,5,1,2,3,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,3,5,1,2,6,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,2,6,5,1,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,6,3,5,1,2,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,7,2,1,5,3,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,7,1,5,4,6]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,2,1,7,6,4,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,1,4,2,6,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,6,2,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,2,6,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,2,4,6,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,1,4,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,1,7,4,6,5]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,7,1,5,6,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,2,1,5,6,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,4,1,2,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,2,1,6,3,4,5]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,1,3,6,4,5]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,4,1,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,6,7,4,1,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,7,8,6,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,5,7,6,3,1,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,2,1,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,5,3,4,8,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,3,6,1,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,4,2,8,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,8,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,2,7,3,8,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,6,7,5,3,4,2]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,5,8,7,6,3,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,7,6,3,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,7,8,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,7,6,2,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,6,3,2,7,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,1,5,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,8,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,1,3,2,5,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,8,6,7,3,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,3,8,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,8,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,2,7,8,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,1,6,7,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,8,5,7,1,3,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,4,6,8,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,8,7,5,6,1]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,3,5,1,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,7,2,8,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,6,5,2,1,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,6,1,4,5,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,8,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,5,1,6,8,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,3,5,8,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,8,4,3,7,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,6,5,8,4,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,8,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,8,5,6,2,3,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,4,8,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,8,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,2,7,6,1,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,2,7,5,4,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,2,6,7,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,4,3,7,5,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,2,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,2,3,6,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,1,6,4,5,7]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,3,4,7,5,6]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,7,3,5,4,8,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,7,2,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,8,2,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,8,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,7,8,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,8,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,1,5,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,5,1,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,6,1,5,2,4,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,5,4,1,2,8,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,1,7,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,4,1,8,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,5,1,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,7,5,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,4,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,6,1,7,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,7,6,8,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,6,1,8,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,8,1,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,7,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,6,1,8,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,6,1,7,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,1,6,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,3,1,7,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,8,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,8,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,1,7,8,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,8,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,6,5,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,6,5,1,2,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,7,3,6,1,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,6,3,7,5,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,7,3,6,5,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,3,1,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,1,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,7,6,4,1,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,3,7,4,1,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,6,3,5,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,5,3,6,4,1,8]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,3,7,5,4,1,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,2,3,8,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,3,7,5,4,8,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,8,6,5,4,7]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,1,8,6,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,8,3,1,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,3,2,6,4,1,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,8,2,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,3,8,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,3,4,8,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,8,7,5,4,6]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,6,4,7,5]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,7,4,8,6,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,6,3,8,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,6,4,8,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,7,6,4,8,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,3,1,8,5,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,8,5,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,4,3,5,7,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,3,1,8,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,2,8,3,1,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,2,4,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,8,3,1,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,8,3,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,4,2,3,5,6]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,8,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,3,6,4,8,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,6,3,7,4,5]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,3,8,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,4,7,6,5]=>[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,7,3,4,8,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,3,8,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,8,3,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,2,1,7,4,5,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,2,7,3,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,6,3,4,7,5]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,3,8,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,7,6,4,5]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,3,8,1,6,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,7,1,5,3,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,7,1,4,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,7,1,2,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,7,2,6,4,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,6,2,5,7,1]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,6,1,2,5,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,1,4,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,8,1,5,7,6,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,8,1,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,1,7,5,6,4,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,1,6,5,7,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,1,3,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,6,1,2,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,6,2,4,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,7,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,7,1,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,6,1,5,7,2]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,7,1,6,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,5,6,1,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,7,2,1,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,6,2,1,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,7,6,2,1,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,7,2,1,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,6,7,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,7,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,7,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,1,7,5,2,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,8,5,1,7,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,5,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,6,7,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,7,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,8,5,1,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,5,1,7,6,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,8,5,6,1,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,8,6,1,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,7,6,1,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,7,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,7,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,8,5,2,6,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,5,1,2,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,6,7,5,1,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,5,7,1,4,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,7,1,5,2,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,8,4,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,7,4,6,2,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,4,7,2,5,1,6]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,8,5,2,6,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,6,7,5,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,7,5,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,6,7,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,7,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,7,6,2,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,1,7,5,6,2,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,5,2,8,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,7,5,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,7,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,6,7,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,7,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,7,5,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,5,3,2,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,5,3,1,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,6,7,5,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,6,7,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,5,8,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,7,6,1,4,2,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,7,8,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,7,1,5,8,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,4,7,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,8,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,3,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,4,3,8,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,6,5,4,2,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,7,5,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,3,8,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,6,5,8,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,7,6,5,3,4,1]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,2,6,7,5,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,1,6,7,5,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,1,6,8,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,8,6,2,7,5,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,3,2,7,8,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,2,5,3,4,7]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,6,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,3,6,4,5,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,4,1,6,8,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,2,4,5,1,6,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,6,4,5,2,3,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,6,5,1,3,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,1,7,5,2,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,7,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,3,6,8,1,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,4,6,2,1,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,1,3,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,2,7,5,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,8,3,6,7,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,4,5,2,6,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,8,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,3,6,5,8,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,6,3,4,1,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,6,3,4,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,5,8,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,8,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,5,4,3,6,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,8,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,4,5,6,1,2,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,3,5,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,8,7,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,2,4,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,7,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,5,6,4,3,1,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,5,4,3,2,7]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,2,8,4,7,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,8,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,8,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,2,8,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,5,8,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,3,5,8,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,8,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,6,5,8,1,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,5,7,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,5,8,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,8,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,8,2,3,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,1,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,1,5,8,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,1,8,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,5,8,3,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,1,8,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,6,8,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,8,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,2,1,6,8,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,4,1,8,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,3,1,8,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,1,6,8,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,7,6,8,1,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,2,6,8,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,2,5,8,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,7,6,8,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,8,1,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,6,8,2,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,2,6,8,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,1,2,6,8,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,8,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,1,6,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,6,8,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,6,8,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,2,6,8,5,4,3]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,8,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,3,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,8,6,3,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,5,8,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,7,1,8,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,6,8,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,2,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,8,3,1,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,6,8,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,1,8,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,8,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,1,6,8,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,5,6,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,8,7,1,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,8,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,6,7,2,4,3]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,1,8,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,7,1,2,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,7,2,1,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,7,1,4,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,6,7,3,2,5]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,3,6,7,4,5,2]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,6,8,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,7,1,4,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,7,3,1,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,4,1,5,8,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,5,4,8,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,5,3,7,2,6]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,5,4,8,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,4,1,5,8,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,2,1,8,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,2,7,1,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,8,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,4,5,6,3]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,2,4,5,8,3]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,2,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,8,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,1,3,7,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,3,2,6,8,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,3,2,5,7,4]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,1,3,5,2,8,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,2,3,1,6,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,1,4,5,6,2,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,3,5,6,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,1,5,7,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,3,4,8,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,4,7,8,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,6,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,3,8,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,7,8,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,6,3,8,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,5,8,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,8,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,8,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,7,8,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,4,1,7,3,5,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,7,4,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,7,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,3,6,1,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,3,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,8,3,2,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,4,2,3,7,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,4,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,4,2,3,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,8,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,6,3,2,1,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,5,8,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,3,2,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,4,5,8,1,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,3,6,2,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,3,7,2,8,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,4,3,8,2,7,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,2,4,1,7,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,1,8,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,4,1,8,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,4,2,8,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,2,7,8,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,4,1,6,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,1,3,7,2,6,8]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,4,3,6,2,7,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,3,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,4,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,3,4,2,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,5,3,2,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,6,3,2,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,8,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,8,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,8,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,5,3,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,3,4,2,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,8,4,2,3,6,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,4,2,3,6,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,3,4,2,6,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,3,2,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,6,3,7,5,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,8,1,6,2,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,2,5,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,3,1,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,2,7,5,6,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,3,8,2,6,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,2,8,1,6,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,3,8,2,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,3,7,5,6,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,8,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,8,1,6,2,5,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,1,8,6,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,8,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,8,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,8,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,2,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,3,8,1,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,1,8,2,6,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,7,8,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,4,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,8,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,8,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,4,8,1,6,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,8,3,6,1,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,1,8,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,4,8,6,5,7]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,2,4,8,6,5,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,2,6,5,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,4,8,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,4,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,6,2,1,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,2,6,1,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,8,2,4,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,7,2,4,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,5,7,3,6,1]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,5,7,3,8,1,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,4,5,8,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,2,5,6,3,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,1,6,3,8,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,1,8,4,3,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,5,8,4,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,5,8,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,8,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,8,2,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,7,2,8,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,3,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,3,2,8,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,3,6,2,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,3,7,2,8,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,8,5,3,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,4,1,2,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,4,7,6,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,7,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,1,6,7,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,6,7,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,6,4,7,5,2]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,2,7,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,6,2,1,4,3,8,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,1,3,4,2,8,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,3,2,6,8,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,3,2,5,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,6,8,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,2,3,6,7,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,3,1,6,8,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,7,2,3,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,7,4,1,8,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,6,1,7,8,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,6,3,8,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,8,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,8,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,4,1,6,8,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,1,7,8,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,8,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,3,7,5,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,7,4,2,6,5]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,7,6,2,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,7,6,1,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,2,8,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,8,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,2,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,8,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,8,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,6,3,7,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,6,7,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,8,1,5,7,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,8,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,5,6,4,3,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,7,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,6,8,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,8,5,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,8,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,3,8,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,7,6,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,4,7,6,5,3,2]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,3,2,1,8,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,3,2,1,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,3,7,2,1,4,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,6,2,1,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,8,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,6,2,1,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,7,6,2,1,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,5,1,7,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,2,5,1,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,2,5,1,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,2,7,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,7,5,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,6,7,1,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,6,5,1,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,8,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,6,8,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,6,5,1,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,7,6,5,1,3,4]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,1,7,8,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,3,1,5,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,3,1,8,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,7,1,5,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,6,1,8,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,7,8,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,6,1,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,7,6,1,5,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,6,1,4,5,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,2,1,7,3,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,2,1,5,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,7,2,1,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,1,5,7,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,7,2,1,4,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,7,2,1,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,2,7,1,4,3,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,6,1,4,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,7,1,5,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,6,1,8,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,6,1,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,8,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,7,6,1,5,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,6,1,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,4,1,8,7,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,6,7,3,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,5,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,1,6,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,6,8,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,1,5,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,1,5,4,6,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,1,6,4,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,1,5,4,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,1,6,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,1,5,4,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,1,5,4,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,1,6,4,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,1,5,6,3,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,1,5,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,7,1,5,4,3,6]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,7,8,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,6,7,4,3,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,7,5,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,6,7,8,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,6,5,7,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,1,7,5,4,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,6,7,4,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,6,5,7,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,6,5,4,7,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,6,7,4,3,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,6,5,7,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,1,6,5,4,3,7]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,7,8,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,6,5,8,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,6,5,4,8,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,7,2,6,3,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,3,5,6,2,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,3,5,7,2,4,6]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,8,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,6,8,1,7,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,6,7,1,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,5,6,7,1,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,2,3,5,4,6,7]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,1,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,8,3,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,7,8,1,6,3]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,8,1,7,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,7,2,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,3,5,6,2,1,4]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,2,1,3,5,4,6]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,8,7,2,1,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,4,1,7,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,3,1,8,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,7,8,1,5,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,1,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,7,2,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,1,8,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,8,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,5,4,2,3,6]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,6,5,4,3,8]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,3,1,2,5,4,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,7,6,3,2,4,5]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,5,7,6,3,1,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,8,1,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,7,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,8,6,3,1,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,8,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,1,6,5,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,3,2,1,5,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,6,3,7,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,5,2,7,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,1,7,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,4,5,3,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,8,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,5,7,6,3,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,5,7,3,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,4,6,8,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,3,1,6,2,4,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,1,4,6,8,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,5,2,3,8,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,7,5,2,6,1,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,4,6,8,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,8,6,3,1,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,3,8,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,3,2,7,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,4,7,5,1,6]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,7,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,7,4,6,1,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,4,1,7,5,6]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,3,1,8,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,4,3,1,5,8,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,8,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,3,1,4,5,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,1,4,3,2,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,8,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,5,4,3,8,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,1,3,4,2,6]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,7,1,3,8,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,6,1,4,7,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,8,1,6,3,7,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,5,6,1,7,4,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,8,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,5,4,1,8,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,4,5,1,2,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,8,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,4,1,2,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,5,1,4,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,5,1,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,6,5,1,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,4,6,1,5,7]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,4,3,6,1,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,7,2,8,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,5,7,1,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,4,7,1,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,4,7,5,1,6,3]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,4,7,1,6,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,6,1,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,5,7,6,1,2]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,6,5,7,1,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,4,6,7,1,5]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,3,5,8,7,1,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,5,6,8,1,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,7,8,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,7,8,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,7,8,6,1,2,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,1,6,8,2,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,8,2,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,6,8,1,7,4]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,4,8,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,3,8,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,1,6,8,3,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,2,6,8,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,8,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,7,8,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,7,5,2,8,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,5,2,8,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,7,5,1,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,8,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,7,8,6,2,1,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,8,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,3,7,8,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,7,8,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,5,7,8,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,5,1,8,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,7,5,8,3,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,5,4,1,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,5,2,4,1,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,5,3,8,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,5,2,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,8,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,8,6,3,1,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,7,8,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,7,5,1,8,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,5,3,8,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,7,5,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,1,4,2,8,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,8,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,7,2,6,5,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,1,5,6,8,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,4,1,5,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,7,5,8,2,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,7,5,8,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,7,8,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,5,4,2,1,8,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,7,5,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,2,5,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,4,5,1,8,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,3,7,5,8,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,1,6,3,8,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,1,3,8,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,1,8,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,1,8,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,1,8,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,7,4,1,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,7,3,8,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,1,8,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,1,8,4,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,4,8,1,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,1,5,8,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,6,2,8,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,8,1,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[10,11,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[7,9,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,8,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,1,8,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,3,9,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,5,4,3,1,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,7,6,5,4,3,1,8,2]=>[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[11,10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[8,3,4,6,2,1,5,7]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,6,2,1,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,6,8,4,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,3,2,8,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,2,8,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,7,3,8,6,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,6,8,3,1,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,1,5,6,3,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,6,1,8,4,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,8,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,8,1,3,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,6,8,3,2,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,3,8,2,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,7,2,8,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,3,2,8,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,4,7,3,2,8,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,4,5,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,7,3,8,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,4,1,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,7,1,4,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,3,1,7,8,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,7,3,8,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,7,8,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,3,7,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,3,7,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,8,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,3,7,4,8,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,2,4,1,8,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,2,1,4,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,3,1,2,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,1,2,7,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,3,2,7,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,2,1,7,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,3,7,8,4,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,3,1,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,7,3,1,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,7,2,8,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,8,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,1,8,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,2,1,8,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,8,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,1,3,8,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,7,8,6,4,2,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,8,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,8,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,8,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,7,8,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,1,7,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,5,8,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,2,1,3,8,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,7,8,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,7,1,8,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,7,3,8,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,1,8,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,7,8,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,3,6,8,2,5,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,6,8,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,1,8,4,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,8,2,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,2,1,3,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,6,4,5,8,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,5,8,1,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,4,5,8,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,1,6,8,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,5,8,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,4,6,5,8,2,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,4,5,8,2,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,1,8,5,2,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,1,7,6,3,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,2,7,3,6,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,3,2,8,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,7,5,3,4,6]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,4,5,8,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,5,8,6,7,1]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,5,6,8,7,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,6,7,1,3,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,6,2,8,1,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,8,2,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,8,6,7,1,4]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,6,8,7,1,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,5,6,7,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,7,1,8,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,4,8,1,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,1,6,7,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,8,5,4,1,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,3,8,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,7,5,3,1,2,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,8,5,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,3,1,2,7,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,7,4,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,3,7,1,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,7,1,3,5,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,4,6,7,1,3,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,2,3,6,7,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,2,7,6,1,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,3,2,5,8,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,2,8,7,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,5,8,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,1,6,2,8,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,8,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,1,8,5,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,5,4,1,8,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,5,6,8,7,1,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,4,2,5,6,7,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,5,6,7,1,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,4,7,1,8,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,4,7,1,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,1,3,2,5,7]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,3,6,5,2,4,7]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,5,2,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,4,6,5,1,7]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,2,1,6,5,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,1,2,6,5,3,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,2,1,5,3,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,6,4,1,5,2,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,3,4,5,1,7]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,4,8,5,7,2,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,2,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,5,1,3,8,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,6,5,8,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,5,1,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,5,8,6,7,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,5,8,6,7,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,8,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,1,6,8,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,7,8,2,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,2,8,6,7,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,1,2,8,6,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,1,6,8,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,8,6,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,3,6,8,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,3,8,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,2,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,1,3,6,4,7,5]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,1,7,8,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,4,5,8,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,4,3,7,2,6,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,7,2,1,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,8,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,8,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,7,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,2,4,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,2,3,1,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,1,3,2,5,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,2,1,3,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,2,1,3,7,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,4,1,3,2,7,5]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,2,3,1,7,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,7,2,6,1,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,3,8,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,2,6,7,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,3,6,2,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,6,4,5,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,4,6,5,8,3]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,1,7,6,8,2,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,2,6,1,3,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,8,7,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,8,4,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,8,1,5,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,6,8,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,6,8,7,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,5,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,2,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,1,8,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,6,2,1,3,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,1,5,6,7,3]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,3,5,8,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,5,1,8,6,7,2]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,4,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,8,2,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,6,2,8,5,1,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,1,5,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,2,1,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,2,1,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,7,8,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,2,8,4,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,8,4,1,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,2,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,8,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,8,4,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,2,1,8,5,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,8,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,2,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,8,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,2,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,2,1,4,5,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,7,8,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,6,3,7,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,7,3,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,8,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,2,8,6,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,3,2,5,6,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,6,8,1,3,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,8,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,2,1,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,2,7,8,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,3,2,8,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,8,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,8,3,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,3,1,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,8,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,3,8,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,4,8,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,2,3,8,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,8,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,3,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,3,4,8,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,3,7,8,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,8,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,8,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,3,8,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,8,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,3,8,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,2,3,4,8,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,8,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,3,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,8,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,2,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,5,7,2,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,8,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,6,8,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,8,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,8,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,2,3,4,6,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,5,1,3,8,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,7,4,6,1,3]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,1,3,7,6,4,5]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,5,1,3,7,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,7,5,3,1,6,4]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,5,4,7,1,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,5,2,4,8,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,5,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,6,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,5,3,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,1,2,4,8,3,7]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,6,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,2,5,6,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,6,5,2,4,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,3,7,2,6,4,5]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,6,5,1,8,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,7,4,5,6,1,3]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,6,5,1,7,4]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,9,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,9,8,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,9,8,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,9,8,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,9,8,7,6,5,4,2,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,9,8,7,6,5,4,3,1]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,10,9,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,9,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,10,9,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,8,6,5,7,3,2,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,9,8,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,10,9,8,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,8,7,5,4,6,2,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,6,7,3,2,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,9,8,7,5,6,3,2,1]=>[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,10,9,8,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,8,7,6,4,3,5,1]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,4,5,6,2,1]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,9,8,7,6,4,5,2,1]=>[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,10,9,8,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,8,7,6,5,3,2,4]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,6,3,4,5,1]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,9,8,7,6,5,3,4,1]=>[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,10,9,8,7,6,5,4,2,1]=>[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,8,7,6,5,2,3,4]=>[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,9,8,7,6,5,4,2,3]=>[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,10,9,8,7,6,5,4,3,1]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,2,8,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,2,8,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,1,3,7,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,1,8,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,2,8,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,3,5,4,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,8,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,8,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,6,4,8,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,7,4,2,6,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,3,1,7,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,3,2,5,8,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,1,5,4,7,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,7,1,5,8,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,8,4,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,4,8,1,3,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,1,6,5,8,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,4,6,8,2,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,3,4,5,8,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,1,5,2,7,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,2,6,8,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,4,1,7,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,3,8,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,1,8,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,2,5,4,8,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,7,2,1,5,3,4,6]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,1,5,8,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,4,5,1,7,2]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,6,8,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,2,3,5,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,7,8,6,2,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,5,7,8,6,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,4,7,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,8,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,4,6,1,3,5]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,2,8,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,4,7,2,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,6,1,5,2,4]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,6,8,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,3,8,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,1,5,7,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,4,2,7,6,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,7,4,2,6,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,2,4,1,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,4,7,1,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,6,7,8,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,3,2,5,8,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,1,5,6,2,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,5,6,1,7,4,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,2,8,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,4,8,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,4,5,2,7,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,3,6,2,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,2,1,7,5,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,1,8,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,6,5,8,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,1,4,2,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,7,1,8,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,8,2,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,4,5,6,7,3]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,4,1,6,8,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,7,6,1,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,6,1,8,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,1,7,6,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,4,6,5,7,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,3,5,6,8,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,3,6,4,8,7,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,7,5,8,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,2,5,8,3,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,7,8,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,2,6,8,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,6,5,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,2,6,8,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,4,8,7,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,7,4,8,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,2,7,5,8,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,3,1,7,5,4,8,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,8,5,7,4,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,5,8,7,3,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,4,8,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,6,8,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,8,2,6,7,4,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,7,2,8,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,8,3,7,5,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,7,8,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,2,7,8,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,6,2,4,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,7,3,4,8,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,4,1,5,3,7,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,1,5,7,2,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,6,4,2,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,7,4,2,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,4,2,7,6,5]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,8,4,7,3,6,5]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,4,8,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,2,4,8,3,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,4,5,7,2,3,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,5,2,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,5,1,4,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,6,1,4,7,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,6,2,7,4,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,6,7,2,3,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,8,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,8,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,8,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,8,7,3,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,8,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,8,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,6,8,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,6,2,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,7,4,1,6,5]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,4,7,6,3,5]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,8,7,6,3,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,8,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,8,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,7,3,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,7,6,3,8,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,1,7,8,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,1,4,8,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,4,5,8,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,2,7,6,3,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,7,6,4,5,8,1]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,1,7,5,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,7,4,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,2,7,8,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,1,7,4,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,1,7,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,6,1,3,8,7,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,1,5,8,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,4,8,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,4,7,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,2,4,8,6,7,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,4,8,7,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,4,8,7,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,2,8,5,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,5,3,8,6,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,6,5,4,7]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,5,4,8,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,2,4,8,6,3,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,4,8,3,7,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,1,4,8,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,3,1,8,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,6,3,1,8,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,5,1,8,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,4,1,8,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,6,1,7,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,2,8,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,7,8,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,7,8,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,1,7,8,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,2,8,6,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,4,2,8,6,7,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,6,8,5,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,8,6,7,4,5]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,7,4,5,6]=>[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,6,8,7,4,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,2,8,7,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,6,2,8,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,5,9,7,6,8]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,10,7,8,9]=>[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,9,6,5,7,8]=>[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,4,5,10,6,7,8,9]=>[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,9,5,4,6,7,8]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,9,4,3,5,6,7,8]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,8,4,3,2,5,6,7]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,9,3,2,4,5,6,7,8]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,10,3,4,5,6,7,8,9]=>[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,4,7,6,5,3,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,5,6,3,2,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,3,5,4,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,7,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,4,6,5,3,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,3,6,5,4,2]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,7,3,6,5,4,1]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,2,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,7,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,2,5,4,3,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,1,6,5,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,7,1,6,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,1,6,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,2,6,5,4,3]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,2,5,3,4,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,6,5,3,4,2]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,6,5,2,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,6,5,2,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,7,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,6,5,1,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,4,5,1,3,2]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,2,5,1,4,3]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,1,5,2,4,3]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,4,2,5,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,2,5,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,5,1,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,4,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,4,3,7,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,5,1,4,3,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,5,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,5,4,7,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,7,6,8,1,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,3,7,6,8,1,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,1,4,3,7,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,4,3,7,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,8,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,3,7,4,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,7,4,8,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,7,5,8,1,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,3,6,4,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,6,4,7,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,3,7,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,1,5,3,7,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,7,1,5,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,7,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,1,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,8,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,8,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,1,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,3,2,6,5,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,4,2,6,5,8]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,5,8,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,6,8,1,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,8,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,8,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,5,8,3,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,2,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,8,2,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,4,8,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,4,8,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,5,2,6,4,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,6,1,5,4,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,6,5,8,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,6,5,8,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,8,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,8,4,7,1,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,8,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,7,1,5,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,8,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,3,8,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,4,8,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,3,5,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,5,4,8,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,5,8,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,5,2,4,8,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,5,1,8,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,2,8,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,8,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,4,8,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,5,8,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,3,6,7,2,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,8,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,4,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,4,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,4,1,5,3,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,4,7,5,8,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,8,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,6,8,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,8,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,4,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,8,3,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,3,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,5,6,8,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,5,8,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,7,8,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,8,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,8,2,6,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,2,5,7,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,5,7,2,6,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,5,6,7,2,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,3,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,7,2,5,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,7,2,5,6,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,8,2,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,1,7,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,5,1,8,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,5,8,2,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,8,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,4,8,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,4,2,3,1,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,2,3,1,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,5,3,8,2,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,5,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,8,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,2,8,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,7,3,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,7,8,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,3,7,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,2,3,1,6,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,3,7,1,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,7,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,8,2,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,7,4,8,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,7,8,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,5,7,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,2,5,1,7,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,2,4,1,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,4,7,2,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,6,2,5,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,8,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,3,5,8,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,8,3,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,6,7,2,1]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,7,2,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,6,8,2,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,8,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,7,1,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,6,7,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,7,8,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,3,6,8,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,8,3,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,9,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,4,9,8,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,7,8,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,4,3,2,9,8,7,6,1]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,7,8,9,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,8,9,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,10,9,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,10,9,8,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,4,3,10,9,8,7,2,1]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,4,3,2,1,10,9,8,7,6]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,5,6,7,8,9,10,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,2,8,4,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,1,2,4,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,8,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,7,4,2,3,6]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,5,8,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,6,2,8,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,7,2,6,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,7,5,2,3,6]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,7,2,3,6]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,5,8,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,5,4,8,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,4,8,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,7,2,3,8,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,6,4,2,3,5]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,7,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,1,8,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,1,2,4,6,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,6,1,2,4,7,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,5,1,2,4,6]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,1,2,4,8,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,8,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,7,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,8,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,1,2,4,8,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,3,8,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,4,2,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,1,2,8,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,4,2,3,8,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,8,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,5,4,8,3,7]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,1,5,8,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,6,8,7,4,2,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,8,5,7,3,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,8,3,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,1,6,8,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,5,7,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,6,2,5,7,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,6,4,7,2,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,1,4,7,2,5,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,8,4,6,2,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,4,8,5,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,6,5,4,8,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,3,1,5,8,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,4,6,8,1,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,8,6,4,1,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,1,6,4,5,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,8,7,4,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,2,7,8,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,7,5,6,8,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,3,8,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,4,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,3,5,4,8,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,2,5,8,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,8,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,1,7,5,6,3]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,4,3,7,5,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,1,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,8,4,1,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,8,6,5,3,7]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,6,8,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,1,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,2,5,7,1,6,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,8,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,8,3,1,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,3,4,5,8,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,2,4,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,5,2,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,6,5,3,4,8,2]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,4,2,8,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,8,7,5,2,6,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,4,5,2,8,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,3,5,4,2,7]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,8,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,3,4,8,7,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,6,8,7,4,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,3,5,2,6,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,2,6,4,5,1]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,4,8,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,8,6,1,5,2,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,2,5,3,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,2,6,8,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,7,1,4,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,3,6,2,4,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,7,2,4,3,8,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,4,8,6,2,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,1,3,8,6,2,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,8,3,7,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,7,6,4,5,1]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,7,6,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,5,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,6,4,8,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,7,4,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,5,8,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,3,5,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,1,4,7,5,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,3,8,2,6,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,6,7,5,4,1]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,2,8,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,1,4,7,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,4,7,2,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,3,6,2,8,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,4,5,8,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,8,4,5,7,3,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,7,3,2,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,8,5,4,3,6,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,1,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,1,4,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,5,6,8,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,8,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,5,4,1,3,6,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,4,2,3,8,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,5,1,4,2,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,8,6,5,2,7]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,8,6,5,3,2,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,2,7,3,6,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,8,5,3,6,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,8,4,3,7,6,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,5,2,3,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,8,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,4,3,6,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,1,2,8,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,4,5,8,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,8,4,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,8,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,8,4,7,5,1]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,6,5,8,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,5,8,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,3,6,4,5,7,1]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,6,8,3,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,2,6,4,7,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,7,2,8,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,8,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,3,6,2,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,8,2,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,3,6,4,8,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,4,8,2,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,4,8,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,4,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,4,2,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,4,3,8,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,3,5,8,7,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,1,8,4,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,1,8,5,4,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,7,5,4,8,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,6,4,8,5,3]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,7,3,6,8,5,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,1,8,5,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,8,4,7,3,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,8,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,8,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,5,8,2,4,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,6,8,3,2,5,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,7,4,8,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,1,7,5,8,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,6,7,3,8,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,5,7,6,8,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,6,8,2,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,5,8,7,1,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,6,7,5,8,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,7,5,8,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,7,4,8,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,7,6,8,3,5,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,8,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,5,8,2,7,4,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,8,4,7,6,3]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,8,7,4,3,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,5,8,7,2,4,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,2,8,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,5,7,2,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,4,7,2,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,4,6,8,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,6,2,7,1,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,4,7,1,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,3,4,5,8,1,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,7,3,6,8,1,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,6,2,3,8,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,2,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,2,4,5,8,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,2,3,4,8,1,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,2,8,4,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,3,7,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,7,3,4,6,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,1,8,3,4,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,8,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,2,8,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,3,8,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,1,8,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,7,1,4,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,7,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,2,3,6,1,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,7,3,4,5,6]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,3,7,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,6,2,3,4,5,8]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,7,3,4,5,6,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,3,4,5,6,2]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,7,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,5,7,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,8,2,3,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,8,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,8,3,6,7,2]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,1,8,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,7,1,8,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,1,3,8,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,8,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,3,6,8,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,6,8,2,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,8,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,4,8,7,1,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,7,1,4,6,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,7,2,4,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,7,6,1,2,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,7,2,4,5,6]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,7,2,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,8,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,8,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,1,4,5,6,2]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,6,1,3,4,5,7]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,1,3,4,5,8]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,3,4,5,6,1]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,2,4,5,6,1]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,3,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,1,3,4,5,2]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,2,4,7,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,2,5,1,8,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,4,8,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,8,5,3,2,7,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,2,5,7,1,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,3,2,8,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,2,8,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,3,8,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,8,1,2,6,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,10,9,8,7,6]=>[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[11,12,9,10,7,8,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[3,1,2,4,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,8,1,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,6,8,7,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,7,2,4,8,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,6,5,8,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,2,4,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,5,2,1,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,2,7,4,1,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,7,3,1,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,4,1,3,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,5,1,2,8,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,6,2,8,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,5,2,8,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,5,6,1,8,7,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,8,7,2,1,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,7,5,2,1,6,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,4,7,2,3,6,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,7,3,4,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,1,7,4,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,8,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,8,1,6,3,2,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,8,6,3,7,2,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,6,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,3,7,5,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,3,8,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,8,3,7,6,5,2]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,1,6,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,7,1,5,6]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,5,7,6,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,2,7,6,5,4,3]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,6,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,6,8,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,3,8,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,1,7,5,6,4,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,6,5,7,4,2]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,4,3,6,1,5,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,8,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,5,3,2,6,7]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,3,4,2,5,8]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,4,2,7,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,8,5,7,6,2]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,1,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,6,7,2,1,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,6,2,4,3,5]=>[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,7,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,1,7,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,5,7,3,4,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,3,6,8,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,1,6,5,8,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,5,8,7,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,5,8,6,7,3,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,5,8,7,3,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,4,6,1,7,3,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,6,8,7,4,2]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,6,1,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,7,6,8,2,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,6,8,7,2,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,6,5,2,8,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,5,4,1,7,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,6,5,4,1,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,5,4,3,1,8]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,5,2,6,3,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,4,7,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,7,5,4,1,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,4,7,6,2,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,6,1,7,5,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,5,1,6,4,3]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,2,6,5,1,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,5,2,6,1,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,7,2,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,3,7,5,2,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,6,2,8,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,6,2,7,5,4]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,7,3,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,6,2,7,5,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,8,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,8,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,8,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,8,6,1,7,5,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,2,6,5,4,3]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,1,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,1,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,8,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,8,6,5,1,7,2]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,5,1,6,4,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,6,7,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,4,7,8,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,6,5,1,2,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,1,2,8,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,6,2,3,8,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,2,7,4,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,6,3,8,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,7,6,4,8,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,1,7,3,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,7,1,2,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,5,1,2,8,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,6,2,8,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,2,8,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,1,3,8,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,2,7,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,2,3,8,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,2,6,5,4,3]=>[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,6,2,7,5,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,1,2,7,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,7,4,8,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,7,3,6,8,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,4,2,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,3,8,2,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,6,4,7,3,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,4,7,5,1,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,5,4,8,1,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,3,5,8,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,6,4,2,8,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,5,2,8,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,3,1,8,2,7,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,2,7,3,1,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,7,2,6,3,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,8,3,2,6,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,2,8,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,1,8,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,3,4,8,2,7,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,3,8,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,3,1,8,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,2,7,3,1,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,6,4,7,3,1,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,2,5,7,4,1,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,3,2,6,4,1,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,7,2,5,4,6]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,2,6,4,3,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,6,2,5,4,3,8]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,3,5,6,4,2]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,7,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,7,2,6,5,4]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,8,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,8,4,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,8,4,5,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,4,3,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,4,2,5,3,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,2,8,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,7,3,5,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,5,8,4,2,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,1,6,8,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,8,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,2,7,3,1,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,8,7,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,5,3,2,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,7,6,2,4,5]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,2,6,4,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,8,2,6,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,2,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,8,7,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,4,5,6,1,2]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,6,4,3,5,1,7]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,6,3,5,4,1,8]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,5,2,4,3,8]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,7,4,6,2,5,1]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,7,5,3,2,1,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,2,5,4,3,1,6]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,7,8,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,8,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,8,5,4,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,7,4,1,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,7,1,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,1,8,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,7,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,4,8,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,4,3,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,4,2,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,1,6,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,5,7,6,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,4,7,1,6,2,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,5,8,6,7,1,2]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,1,6,8,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,3,2,10,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,4,10,3,9,2,8,1,7]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,1,7,3,8,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,2,8,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,8,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,5,3,6,4]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,2,8,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,7,2,8,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,2,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,4,3,7,5]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,8,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,8,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,5,3,7,4]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,2,7,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,8,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,5,3,8,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,4,3,8,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,2,4,3,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,5,2,4,3,8,6]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,2,4,3,8,5]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,2,5,3,8,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,6,2,8,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,7,5,4,6,3]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,7,4,3,5,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,4,7,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,4,2,6,3,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,8,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,2,6,3,5,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,4,3,6,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,8,3,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,4,3,6,2,7]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,3,7,2,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,7,2,6,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,2,5,3,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,2,6,7,3]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,7,3,2,5,6,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,8,2,3,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,7,2,6,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,7,4,2,6,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,3,2,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,6,2,5,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,3,7,1,8,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,7,3,8,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,8,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,3,8,2,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,3,8,7,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,3,8,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,8,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,2,8,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,8,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,8,6,3,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,8,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,7,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,6,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,5,2,7,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,7,3,8,1,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,5,3,2,8,6,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,6,2,8,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,7,8,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,1,7,8,3,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,6,7,2,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,2,7,8,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,3,8,7,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,5,2,6,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,1,6,7,8,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,6,7,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,1,2,5,7,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,1,2,5,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,1,3,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,7,1,8,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,6,1,8,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,3,1,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,1,3,5,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,7,1,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,1,2,7,8,6,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,7,3,6,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,4,7,8,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,4,7,8,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,4,6,8,7,1,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,6,8,2,3,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,3,2,4,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,7,2,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,4,7,8,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,7,6,1,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,2,8,6,1,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,1,8,2,6,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,3,2,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,7,6,8,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,7,6,2,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,8,6,2,3,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,1,8,3,6,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,1,8,7,5,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,2,1,8,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,8,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,2,1,9,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,8,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,3,2,1,7,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,3,2,1,9,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,6,5,4,3,2,1,9,8]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,4,1,8,3,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,5,4,9,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,4,2,1,10,3]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,2,8,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,8,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,3,2,1,6,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,7,6,5,4,3,2,1,10,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[7,8,2,4,5,1,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,7,2,5,1,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,3,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,1,4,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,3,6,1,4,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,6,1,4,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,3,1,4,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,1,5,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,3,5,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,1,5,2,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,3,1,4,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,6,1,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,6,1,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,6,7,2,3,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,6,7,8,1,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,6,7,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,3,2,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,6,2,4,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,4,6,7,1,3,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,6,7,1,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,4,5,1,3,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,7,4,5,1,3,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,5,6,7,1,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,6,7,1,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,1,6,2,4,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,3,2,4,5,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,4,5,2,3,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,4,5,8,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,6,7,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,1,6,3,4,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,5,4,1,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,4,2,1,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,2,4,1,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,5,2,1,4,3,8]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,4,1,6,2,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,1,6,5,2,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,1,5,6,2,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,5,1,6,4,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,5,4,1,3,2,8]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,4,1,5,2,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,7,2,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,4,6,2,8,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,1,7,2,6,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,4,7,3,8,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,1,7,4,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,4,5,8,7,2,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,4,5,8,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,1,6,8,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,5,6,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,5,6,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,5,4,6,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,4,6,5,8,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,5,8,6,1,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,8,1,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,4,6,5,8,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,4,6,8,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,1,4,7,2,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,7,5,6,8,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,7,6,5,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,6,7,8,5,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,2,6,8,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,2,6,8,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,1,2,7,4,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,2,4,7,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,1,4,7,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,4,2,7,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,2,4,7,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,2,6,8,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,2,6,8,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,4,6,1,8,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,6,1,8,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,6,7,1,5,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,7,5,1,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,6,7,1,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,5,6,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,4,6,8,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,6,5,8,1,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,5,8,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,5,8,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,5,8,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,4,5,8,6,2,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,5,8,2,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,4,5,8,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,5,8,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,5,8,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,6,5,8,3,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,5,4,6,8,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,2,5,6,8,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,4,6,1,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,4,5,8,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,5,8,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,5,8,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,6,1,7,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,4,2,8,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,2,7,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,7,3,6,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,6,1,7,5,3,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,1,8,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,7,3,5,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,6,3,5,4,7]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,3,5,8,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,3,1,5,4,6,8]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,1,4,8,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,8,3,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,8,6,3,5,7,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,7,3,5,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,3,1,4,8,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,6,4,5,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,5,7,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,3,6,8,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,3,1,5,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,5,1,6,8,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,7,5,6,1,8,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,8,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,8,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,8,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,3,5,7,4,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,5,6,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,5,7,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,3,6,4,5,8]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,3,5,8,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,4,1,7,5,6,3]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,4,7,5,1,6,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,3,6,1,7,5,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,7,3,5,4,6]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,1,8,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,3,1,5,6,4,8]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,5,1,6,3,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,4,1,7,5,3,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,6,3,1,7,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,1,8,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,5,1,6,3,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,7,3,4,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,7,8,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,8,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,3,6,4,5,7]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,6,7,4,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,7,4,5,6,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,6,8,4,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,3,7,4,5,6]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,8,3,6,7,4,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,5,1,6,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,5,6,1,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,4,5,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,1,5,7,2,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,8,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,5,8,2,4,7,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,4,8,3,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,7,8,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,4,8,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,8,4,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,2,5,4,6,3]=>[[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,2,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,4,3,5,7,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,3,7,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,2,8,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,2,8,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,6,3,8,5,4,7]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,5,3,6,4,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,3,8,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,7,8,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,8,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,4,2,7,3,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,3,2,4,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,2,8,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,8,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,2,4,5,6,3]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,3,5,6,2,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,8,7,4,5,6]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,3,2,6,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,3,2,4,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,8,4,3,7,5,6]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,1,7,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,4,7,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,5,3,8,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,5,3,6,4,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,3,7,5,4,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,7,5,4,8,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,4,8,6,5,1,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,2,7,6,4,5,3]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,9,8,7,6,5,4,1,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,8,7,6,5,1,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,6,3,2,5,4,8]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,3,6,5,2,7]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,6,5,3,2,7]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,2,1,6,5,3,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,1,4,3,5,2,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,3,5,2,6,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,2,4,6,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,3,4,5,2,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,7,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,2,1,4,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,7,2,4,6,8,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,7,1,5,2,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,4,1,5,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,7,1,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,8,6,5,4,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,7,4,3,6,5]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,2,3,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,8,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,8,1,6,3,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,8,6,4,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,4,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,3,5,8,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,3,8,6,1,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,3,2,7,6,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,5,2,6,7,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,2,7,6,5,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,6,7,8,5,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,4,3,6,2,7,5]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,7,3,2,8,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,3,6,8,4,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,2,1,4,8,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,4,2,8,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,3,8,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,8,1,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,8,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,8,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,8,5,1,4,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,4,8,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,6,8,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,2,8,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,5,8,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,5,2,4,6,3,7]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,8,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,4,8,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,8,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,8,5,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,5,4,8,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,2,5,8,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,3,7,2,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,6,3,8,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,8,3,4,1,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,2,7,5,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,6,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,6,8,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,8,4,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,7,8,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,2,8,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,2,6,8,5,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,8,2,4,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,8,4,2,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,8,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,7,8,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,8,2,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,7,8,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,7,8,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,8,3,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,7,3,8,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,7,3,8,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,6,3,8,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,4,8,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,2,3,8,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,5,3,2,8,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,3,8,2,1,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,3,8,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,8,3,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,7,8,3,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,8,2,3,1,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,2,8,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,6,8,4,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,2,8,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,7,8,2,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,7,8,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,8,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,8,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,8,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,8,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,8,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,8,2,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,7,2,8,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,3,2,7,8,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,2,7,8,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,8,2,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,7,8,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,8,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,8,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,8,1,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,9,10,1,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[3,4,5,6,7,8,9,1,2,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,2,7,1,5,3,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,6,1,5,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,6,7,5,1,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,3,5,4,8,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,1,5,8,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,1,3,5,8,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,6,4,7,1,5,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,4,8,2,7,5,6]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,4,8,2,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,1,6,2,5,7,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,6,2,1,5,7,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,3,6,5,1,7,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,3,5,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,5,1,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,7,5,8,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,1,6,8,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,3,5,6,1,8,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,5,1,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,2,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,1,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,2,3,5,7,4,6]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,3,6,1,4,5,8]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,3,5,8,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,5,6,1,4,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,5,2,6,1,3,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,8,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,2,7,5,3,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,2,7,1,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,1,2,6,3,4,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,7,4,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,1,7,8,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,8,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,4,1,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,8,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,1,6,7,3,4]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,5,1,6,7,3]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,4,5,6,1,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,6,7,1,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,7,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,3,7,1,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,3,4,8,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,4,8,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,4,8,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,5,8,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,8,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,8,5,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,8,5,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,4,8,1,5,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,8,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,5,8,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,2,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,3,7,1,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,5,8,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,8,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,8,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,8,1,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,5,1,2,3,8,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,4,2,8,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,4,5,1,8,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,6,4,1,2,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,5,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,4,1,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,1,4,2,3,8]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,2,4,3,8]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,2,4,8,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,3,2,8,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,3,2,4,8]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,3,4,2,8]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,3,4,5,1,8,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,3,1,5,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,3,1,8,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,3,1,8,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,8,4,1,2,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,4,1,2,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,4,1,6,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,3,6,1,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,8,4,1,6,7,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,4,1,7,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,2,1,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,2,1,7,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,1,8,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,5,1,3,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,5,1,4,3,8,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,2,8,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,2,8,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,8,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,8,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,8,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,4,8,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,5,1,7,2,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,4,1,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,4,1,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,5,1,7,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,5,1,4,8,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,8,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,5,1,8,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,6,2,8,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,3,1,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,5,3,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,4,2,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,5,7,8,1,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,1,6,5,2,4,3]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,5,6,8,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,3,4,2,8,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,1,8,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,6,5,7,3,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,3,4,7,5,1,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,7,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,8,5,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,4,7,3,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,3,2,1,5,4,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,5,1,7,2,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,8,7,4,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,8,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,8,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,3,1,7,2,5]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,7,4,6,1,2,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,8,6,4,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,8,6,7,4,1]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,2,1,8,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,7,2,5,8,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,2,5,3,8,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,3,4,8,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,4,2,8,3,1,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,8,7,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,3,8,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,2,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,5,1,7,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,3,1,7,8,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,2,1,8,6,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,6,8,1,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,8,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,2,5,6,7,4]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,8,1,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,7,4,5,1,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,5,7,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,8,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,7,5,3,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,8,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,2,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,4,8,1,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,4,8,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,2,5,1,7,6]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,1,5,3,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,2,6,4,3,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,6,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,2,8,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,5,8,3,6,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,3,6,7,1,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,1,6,3,7,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,3,5,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,4,5,6,2,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,10,7,8,5,6,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[9,10,7,8,5,3,6,1,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[9,10,7,5,8,3,6,1,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[9,7,10,5,8,3,6,1,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[7,8,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,4,2,5,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,8,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,5,6,3,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,7,5,6,3,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,7,5,6,2,1,8]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,5,6,2,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,5,6,4,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,3,5,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,8,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,8,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,8,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,4,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,8,5,6,3,2,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,5,6,4,3,7]=>[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,5,3,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,5,2,7,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,5,3,7,6,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,2,4,6,7,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,3,6,7,8,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,5,3,7,2,4]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,4,6,3,2,8,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,4,1,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,3,1,2,8,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,3,5,1,7,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,3,1,6,7,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,1,6,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,1,6,7,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,2,6,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,5,1,7,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,4,6,1,2,8,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,6,1,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,7,6,1,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,5,6,1,2,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,5,6,1,3,4]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,4,6,2,3,8,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,4,2,1,5,8,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,6,1,3,8,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,4,7,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,3,7,1,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,4,2,7,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,1,3,5,2,7]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,1,5,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,1,2,6,8,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,2,3,6,8,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,2,5,3,7,6,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,5,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,1,5,6,4,3,7]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,1,5,6,4,2,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,1,6,5,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,1,5,7,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,1,5,2,8,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,5,4,7,2,3]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,4,6,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,1,4,6,7,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,3,6,7,8,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,5,3,7,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,1,3,2,8,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,1,4,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,4,3,5,2,8,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,3,5,4,7,2,6]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,3,4,6,7,8,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,2,6,1,4,7,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,1,3,8,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,1,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,6,4,8,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,1,6,5,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,2,7,1,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,7,3,2,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,2,8,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,8,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,5,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,8,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,2,1,4,5,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,2,1,5,4,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,8,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,5,3,2,1,6,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,6,3,1,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,1,3,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,6,3,8,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,7,6,4,2,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,2,1,7,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,1,6,3,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,8,6,3,2,7,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,2,5,7,3,1,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,6,8,5,7,1,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,7,3,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,2,4,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,4,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,2,8,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,2,7,1,3,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,2,1,7,3]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,7,3,1,8,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,3,8,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,4,3,2,1,9,8,7,6]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,4,3,2,1,10,9,8]=>[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,6,3,7,4,2,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,8,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,6,5,3,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,4,6,5,1,8]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,4,5,2,6,7]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,8,4,1,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,8,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,8,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,8,1,5,4,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,8,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,4,3,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,4,2,5,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,1,4,3,5,6,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,5,3,6,8,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,5,3,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,4,6,3,8,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,4,1,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,3,1,8,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,1,8,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,3,2,8,6,4,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,1,7,8,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,7,6,5,1,3,4]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,2,7,1,4,5,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,3,6,2,8,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,2,1,8,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,7,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,3,4,7,1,8,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,3,1,4,5,7,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,3,1,5,4,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,1,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,2,4,5,6,7]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,7,2,3,6,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,6,5,4,7,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,1,5,6,4,7,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,1,6,5,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,1,5,2,3,8]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,5,4,7,3,2]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,4,6,7,2,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,1,4,7,6,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,8,2,1,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,3,1,4,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,3,5,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,3,6,2,8,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,3,6,2,7]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,1,4,6,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,3,5,6,7,2]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,5,4,6,2,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,4,6,2,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,3,2,5,7,6,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,2,7,4,9,6,8,10]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[3,1,2,5,4,7,6,9,8,10]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[6,8,2,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,7,3,1,5,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,3,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,1,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,8,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,3,5,7,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,2,3,6,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,3,4,7,5,8,1]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,2,7,1,6,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,4,1,6,5,8,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,4,8,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,8,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,8,1,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,3,1,7,8,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,7,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,2,7,8,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,4,8,7,5,6]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,7,8,9,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,8,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,6,1,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,8,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,1,7,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,2,1,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,8,7,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,8,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,8,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,1,8,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,3,1,8,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,2,1,8,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,2,1,8,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,2,1,8,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,1,8,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,7,5,3,1,10,8,6,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[11,9,7,5,3,1,12,10,8,6,4,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[6,1,4,2,3,5,8,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,4,2,3,5,7]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,1,4,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,2,3,6,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,8,2,3,6,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,6,1,4,5,7]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,3,8,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,2,3,8,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,2,3,6,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,3,6,4,1,5,7]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,3,6,2,1,5,7]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,3,8,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,2,3,6,1,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,2,3,8,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,3,8,1,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,4,3,6,1,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,3,8,4,1,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,4,2,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,8,1,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,6,1,4,5,7]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,6,4,2,1,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,6,4,1,5,7]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,6,2,4,1,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,2,1,4,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,3,8,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,3,6,4,5,7]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,8,2,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,3,8,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,4,7,8,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,2,7,5,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,4,2,7,1,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,2,5,6,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,8,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,4,2,7,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,3,6,1,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,5,3,6,2,8,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,2,4,8,7,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,4,2,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,5,2,1,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,3,1,6,2,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,3,5,8,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,7,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,5,7,3,6,4]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,8,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,2,5,4,7,6,3]=>[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,4,5,8,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,3,5,8,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,3,2,5,7,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,1,7,5,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,7,8,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,2,3,7,8,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,3,7,1,2,8,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,3,5,7,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,3,2,4,5,1,8,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,2,5,4,1,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,6,3,8,7,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,7,4,3,1,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,5,1,7,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,8,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,5,2,8,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,8,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,2,8,3,9,4,10,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,1,7,8,9,10,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,8,6,7,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,8,6,2,3,7,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,6,1,3,5,4,8]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,8,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,6,1,3,5,4,7]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,6,5,8,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,3,5,8,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,3,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,3,5,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,3,5,8,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,3,5,8,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,3,5,8,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,3,5,8,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,3,5,8,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,3,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,6,3,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,1,8,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,3,8,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,4,3,8,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,3,8,5,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,3,6,5,7,2]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,1,3,6,5,7,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,3,6,5,7,4]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,1,6,3,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,4,3,5,7,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,1,4,3,5,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,1,3,5,7,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,1,3,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,1,3,5,7,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,1,6,3,5,7,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,4,6,3,5,7,2]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,6,3,5,7,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,4,8,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,1,8,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,1,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,1,3,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,8,1,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,1,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,8,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,8,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,3,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,3,8,5,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,8,3,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,8,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,3,6,8,5,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,6,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,3,8,6,5,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,3,6,5,7,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,4,3,5,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,4,3,5,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,1,4,3,5,7,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,1,6,3,5,7,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,3,6,5,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,8,3,6,5,7,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,6,3,5,7,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,8,6,3,5,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,6,3,5,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,1,3,5,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,6,1,3,5,7,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,1,3,5,7,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,1,3,5,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,2,1,3,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,1,4,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,4,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,4,3,5,7,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,4,3,5,7,2]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,1,4,3,5,7,2]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,1,3,5,7,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,1,3,5,7,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,1,3,5,7,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,1,8,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,2,8,3,7,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,2,7,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,4,6,3,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,4,6,3,7,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,4,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,1,7,8,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,1,8,7,3,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,4,6,7,2,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,8,4,5,6,2,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,1,4,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,4,5,3,2,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,5,4,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,1,5,4,6,7,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,5,4,6,8,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,1,4,5,3,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,4,6,3,8,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,2,7,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,7,2,8,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,7,2,8,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,4,2,8,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,4,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,5,4,6,2,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,5,4,2,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,1,4,2,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,5,4,7,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,2,7,6,5,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,2,6,8,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,2,8,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,1,4,7,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,1,5,4,7,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,5,4,8,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,5,4,7,2,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,1,4,2,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,8,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,1,4,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,1,4,5,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,5,4,2,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,1,5,4,2,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,4,7,3,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,2,8,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,1,4,8,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,5,4,8,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,1,2,8,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,2,5,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,1,5,4,2,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,1,4,5,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,4,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,1,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,1,5,4,2,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,8,7,6,5,4,2,1,3]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,3,2,1,4]=>[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,7,6,3,5,2,1,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,8,7,6,4,3,2,1,5]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[8,7,4,6,3,2,1,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,8,7,5,4,3,2,1,6]=>[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[8,5,7,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,8,6,5,4,3,2,1,7]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,7,6,5,4,3,2,1,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,4,1,3,2]=>[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,9,8,7,6,5,4,2,1,3]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,8,7,6,5,2,4,1,3]=>[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[10,9,8,7,6,5,3,2,1,4]=>[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[9,8,7,6,3,5,2,1,4]=>[[[[[[[.,.],.],[[.,.],.]],.],.],.],.]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[10,9,8,7,6,4,3,2,1,5]=>[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[8,7,6,2,5,4,1,3]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[10,9,8,7,5,4,3,2,1,6]=>[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[8,5,4,7,3,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,6,5,2,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[10,9,8,6,5,4,3,2,1,7]=>[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[6,5,8,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,7,6,3,2,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[10,9,7,6,5,4,3,2,1,8]=>[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[5,8,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[10,8,7,6,5,4,3,2,1,9]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,8,6,2,3,4,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,7,3,1,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,2,6,3,5,7,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,7,2,5,8,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,5,8,4,3,7]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,6,8,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,7,1,8,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,8,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,5,1,7,4,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,8,7,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,3,7,2,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,4,2,6,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,5,1,7,4,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,8,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,4,1,7,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,8,3,1,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,4,3,1,7,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,3,1,7,6,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,4,1,7,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,5,1,6,4,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,5,2,6,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,6,2,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,8,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,8,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,3,8,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,5,1,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,8,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,6,3,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,8,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,4,8,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,8,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,8,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,3,1,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,4,8,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,8,4,1,6,7,5]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,5,1,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,7,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,4,7,2,5,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,7,1,5,6,2]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,6,1,5,7,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,8,6,1,4,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,7,2,4,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,7,2,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,8,7,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,8,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,6,8,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,5,4,1,8,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,4,8,1,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,6,3,5,2,7]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,8,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,6,8,1,5,4,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,4,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,4,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,1,6,8,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,6,1,8,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,8,1,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,7,6,3,2,5,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,6,3,2,4,5]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,1,8,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,1,7,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,7,6,1,5,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,8,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,5,2,7,3,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,5,2,7,6,3]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,8,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,6,4,8,5,1,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,4,6,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,4,7,1,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,7,1,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,5,6,8,7,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,1,6,8,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,8,6,4,7,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,3,6,2,5,7]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,1,8,6,4,5,7]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,6,8,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,4,7,2,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,4,6,8,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,6,4,8,5,3,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,4,5,2,6,3,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,5,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,8,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,4,6,5,8,1,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,5,1,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,5,1,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,1,6,5,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,7,1,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,1,8,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,8,4,2,7,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,5,2,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,5,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,8,4,2,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,6,8,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,4,6,3,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,8,4,6,3,7,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,4,6,7,2,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,4,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,1,7,8,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,7,8,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,4,6,8,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,4,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,4,7,3,6,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,2,4,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,7,5,2,6,1]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,8,6,1,5,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,2,4,3,5,7]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,3,6,4,2,5,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,2,5,4,6,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,4,5,6,3,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,6,2,4,8,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,8,6,1,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,5,1,4,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,1,8,6,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,1,8,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,1,8,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,3,6,1,4,7,5]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,6,4,7,2,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,6,4,8,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,3,5,7,4,6]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,3,1,4,7,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,4,1,3,8,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,8,3,4,1,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,8,5,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,6,1,4,8,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,2,5,8,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,8,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,3,5,7,4,6]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,3,5,8,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,1,4,7,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,7,1,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,8,1,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,8,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,7,1,3,2,6]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,8,5,4,6,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,1,3,4,2,7]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,1,7,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,7,6,1,8,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,6,7,1,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,4,7,5,1,6]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,7,5,1,3,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,1,6,5,2,7,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,8,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,5,6,1,8,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,5,3,8,4,1,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,4,7,2,6,5]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,1,5,7,4,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,6,4,7,1,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,4,8,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,4,7,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,3,5,7,4,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,2,5,7,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,1,7,4,2,8,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,6,4,8,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,7,3,5,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,7,3,4,2,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,3,4,2,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,1,6,5,2,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,4,2,8,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,7,6,5,3,4]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,6,5,1,7,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,2,8,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,7,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,8,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,4,2,3,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,8,7,5,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,1,6,5,2,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,3,8,1,6,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,3,7,1,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,3,7,8,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,6,4,2,3,7,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,8,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,4,6,1,5,2,3]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,7,8,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,6,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,7,8,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,8,7,1,5,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,1,5,2,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,7,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,4,2,3,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,4,8,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,4,7,1,5,6]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,4,8,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,7,1,6,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,7,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,6,8,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,7,5,1,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,8,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,3,7,1,6,5,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,1,5,8,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,7,6,1,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,8,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,6,7,1,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,6,1,5,7,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,7,5,4,2,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,8,5,4,6,3,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,8,5,2,3,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,3,6,7,2,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,2,6,3,7,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,1,5,3,4,6]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,1,5,8,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,1,5,4,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,5,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,3,8,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,1,3,6,8,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,1,5,4,2,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,1,5,8,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,2,1,5,3,4,7]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,2,1,7,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,1,5,7,4,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,8,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,2,8,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,2,6,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,1,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,2,1,5,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,1,8,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,1,4,5,3,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,6,1,4,3,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,4,1,6,5,3,8]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,1,4,5,6,8,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,4,5,8,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,4,7,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,1,7,5,3,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,8,7,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,7,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,8,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,3,1,5,6,4,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,1,6,5,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,4,1,8,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,4,5,6,7,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,4,8,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,6,3,4,8,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,8,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,6,4,3,7,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,8,4,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,5,4,6,7,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,1,4,5,3,7]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,2,8,1,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,1,5,3,4,8]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,1,5,3,4,7]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,5,6,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,2,5,8,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,5,6,8,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,7,1,4,5,3,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,1,7,4,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,6,4,8,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,5,4,8,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,6,1,4,5,3,8]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,8,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,6,5,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,2,4,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,2,1,8,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,2,1,4,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,2,8,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,4,5,8,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,5,1,3,6,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,4,5,1,8,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,4,5,2,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,4,5,2,8,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,4,5,1,2,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,4,5,8,2,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,5,2,1,6,3]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,7,1,8,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,1,6,3,2,8]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,4,8,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,4,8,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,5,6,7,1,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,5,6,7,2,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,1,5,6,7,2,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,5,6,7,2,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,4,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,4,6,7,3,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,3,6,7,5,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,8,2,1,7,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,6,1,5,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,5,6,7,4,3]=>[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,1,5,6,7,4,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,5,6,7,1,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,5,6,7,4,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,3,5,6,7,4,2]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,4,3,6,2,5,8]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,8,5,7,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,6,8,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,8,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,8,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,8,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,4,8,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,1,6,2,3,8]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,5,8,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,5,8,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,6,1,8,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,5,8,3,4,2]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,5,3,6,7,4,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,2,1,7,4,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,5,6,7,3,2]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,2,5,6,7,1,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,8,5,6,7,3,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,5,6,7,3,4]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,5,6,7,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,8,6,7,4,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,8,6,7,3,2]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,8,1,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,8,6,1,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,5,6,7,2,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,5,6,7,1,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,1,5,6,3,4,8]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,4,3,6,5,8]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,7,2,5,6,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,1,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,4,2,6,8,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,5,6,2,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,1,5,6,8,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,6,7,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,3,7,1,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,2,3,5,7,1,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,3,2,5,6,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,6,2,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,4,2,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,2,3,8,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,7,2,8,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,2,4,8,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,5,1,8,3,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,1,4,5,2,3]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,1,3,2,5,4]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,4,3,1,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,4,5,1,6,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,3,1,2,7,4]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,2,3,1,7,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,5,4,2,1,7,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,4,2,1,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,4,2,3,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,5,3,1,2,8,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,4,1,8,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,10,1,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,9,1,2,3,4,5,6,10,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,3,5,4,1,8,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,7,3,1,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,4,7,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,6,3,7,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,6,3,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,3,7,8,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,8,3,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,6,3,8,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,4,2,6,8,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,5,2,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,5,2,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,7,3,6,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,6,8,4,2,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,7,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,6,2,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,3,5,8,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,3,6,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,8,3,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,1,5,4,7,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,1,4,8,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,5,1,8,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,5,2,1,3,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,6,2,4,1,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,6,1,4,8,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,8,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,5,2,8,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,6,4,2,3,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,6,8,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,5,7,4,6,3,2]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,6,7,5,3,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,8,4,7,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,6,1,7,3,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,1,6,7,3,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,5,6,7,3,2]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,7,1,4,2,3,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,2,6,1,5,7,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,5,2,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,4,2,6,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,6,2,5,3,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,5,2,3,4,7,8]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,1,4,6,2,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,8,2,5,6,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,8,2,6,4,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,2,8,4,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,8,6,1,7,4]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,4,3,6,7,1,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,2,8,5,7,1,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,2,8,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,8,4,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,7,1,4,6,5,3]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,1,5,4,6,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,5,3,6,8,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,5,6,2,4,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,1,6,2,4,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,3,6,5,8,1,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,4,1,6,5,3]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,2,3,6,5,4]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,8,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,3,8,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,8,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,8,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,7,2,4,6,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,3,7,2,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,4,7,3,2,5,6]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,1,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,2,3,5,6,8]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,1,4,7,3,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,3,8,4,6,7,5]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,7,5,6,3,1]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,8,4,7,6,1]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,7,3,6,4,1]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,5,2,7,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,3,4,5,7,1]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,7,3,4,8,6,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,7,6,1,4,5,2]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,8,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,6,5,8,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,5,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,1,2,3,4,8,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,5,3,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,8,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,8,2,7,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,1,4,8,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,6,8,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,1,2,8,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,4,1,2,8,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,1,2,3,7,8,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,2,3,4,8,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,4,1,2,5,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,6,3,5,7,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,5,3,1,7,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,4,5,1,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,3,4,2,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,4,1,6,7,5]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,3,1,6,5,4]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,4,6,1,7,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,2,4,3,1,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,8,2,3,1,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,4,3,7,2,6,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,3,5,7,2,4,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,7,5,3,6,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,6,2,5,4,8]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,6,2,4,7,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,8,3,7,5,4,6]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,8,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,8,1,6,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,5,8,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,5,1,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,1,4,6,5,3]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,2,5,7,4,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,7,1,6,4,5,3]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,1,5,6,4,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,5,6,1,7,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,7,4,1,6,5,2]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,6,2,7,3,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,5,7,1,6,3,2]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,8,4,1,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,1,5,4,7,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,3,1,4,6,5,8]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,1,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,1,3,2,4,7,6]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,3,2,6,4,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,1,4,5,3,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,1,5,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,6,1,3,2,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,1,2,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,4,1,2,6,5,8]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,4,2,5,3,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,3,5,6,4,8]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,1,2,4,3,7,5]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,8,1,3,4,6,7,5]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,1,2,5,7,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,5,3,8,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,5,7,2,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,6,5,7,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,4,8,2,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,8,2,6,4,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,8,3,2,5,7,6]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,3,5,7,6,2]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,8,3,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,4,2,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,3,8,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,7,5,8,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,5,2,1,8,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,7,5,2,1,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,5,2,8,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,8,3,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,8,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,1,8,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,2,1,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,5,6,1,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,8,6,4,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,7,3,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,2,5,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,2,8,5,6,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,6,8,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,8,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,8,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,8,1,6,3,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,8,3,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,8,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,7,8,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,1,7,8,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,1,7,8,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,3,5,4,8,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,8,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,7,3,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,3,7,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,7,8,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,6,7,8,4,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,1,7,3,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,1,8,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,2,4,8,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,1,4,7,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,5,6,7,8,1,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,3,2,8,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,1,3,4,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,1,7,3,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,2,7,1,8,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,6,3,7,8,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,3,7,8,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,8,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,4,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,2,1,4,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,3,4,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,4,1,8,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,8,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,8,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,2,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,8,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,4,8,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,4,7,1,8,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,2,7,1,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,8,5,2,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,7,8,5,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,5,7,8,1,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,7,1,8,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,6,1,7,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,1,2,7,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,2,1,8,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,8,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,4,8,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,4,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,5,3,6,2,7]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,3,4,7,2,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,2,4,6,3,7,5]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,2,5,4,6,7,3]=>[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,1,4,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,5,2,6,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,5,3,7,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,8,6,7,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,4,8,1,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,4,8,3,7,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,5,8,2,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,4,8,1,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,4,7,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,4,8,1,6,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,7,1,6,2,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,3,8,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,7,3,8,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,2,8,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,7,8,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,6,8,2,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,6,5,7,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,5,6,8,1,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,6,4,7,8,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,7,3,8,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,5,6,8,1,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,2,3,8,7,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,5,3,8,7,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,7,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,2,7,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,2,5,8,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,2,5,3,8,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,2,3,8,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,7,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,7,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,5,8,7,3,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,8,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,6,7,5,3,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,6,8,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,7,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,6,8,7,5,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,8,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,8,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,5,8,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,4,7,5,3,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,8,2,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,8,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,6,4,7,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,9,1,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,2,5,6,3,8,1,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,5,7,4,8,3,1]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,2,1,4,7,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,3,2,5,8,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,4,8,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,4,7,8,5,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,8,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,6,3,5,8,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,7,8,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,7,4,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,2,5,8,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,3,5,2,4,8,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,8,2,7,5,1,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,2,8,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,4,7,2,5,6,1]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,1,5,3,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,1,6,2,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,4,6,7,3,5,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,6,3,4,5,7,2]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,4,1,2,8,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,1,6,5,7,4,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,8,2,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,7,6,1,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,2,4,6,7,3,5]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,3,7,4,8,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,8,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,5,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,4,8,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,5,1,8,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,8,5,4,6,1,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,4,3,8,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,6,3,5,2,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,1,7,4,2,5,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,2,4,5,7,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,3,7,6,2,4,5]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,8,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,8,5,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,2,8,5,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,3,2,5,1,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,7,5,8,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,8,6,5,1,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,3,5,1,8,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,1,4,6,5,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,3,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,2,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,6,8,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,2,8,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,2,8,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,8,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,8,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,8,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,1,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,5,8,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,4,1,3,8,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,3,8,1,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,4,8,7,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,2,3,8,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,3,2,8,7,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,2,8,7,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,4,8,7,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,8,7,1,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,8,7,3,4,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,1,8,7,2,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,8,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,6,8,3,7,5,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,5,2,8,7,1,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,4,2,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,4,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,5,8,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,8,7,1,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,1,3,4,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,3,4,8,7,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,5,4,1,3,7]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,7,4,2,8,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,3,8,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,6,3,4,5,7]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,5,6,2,4,1,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,1,3,5,4,7]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,2,3,4,6,5,7]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,3,7,8,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,6,5,8,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,6,2,1,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,8,4,7,2,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,7,6,4,2,5]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,7,8,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,8,2,7,1,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,5,3,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,6,4,7,1,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,2,8,5,1,7,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,6,5,2,1,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,4,2,5,6,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,7,2,1,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,1,8,2,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,6,3,7,1,5,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,3,4,1,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,6,2,8,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,2,5,7,4,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,6,7,1,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,6,3,1,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,8,3,1,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,3,8,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,7,1,8,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,8,7,5,6,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,6,7,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,7,8,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,4,5,8,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,7,1,4,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,8,5,1,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,5,3,8,4,2,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,8,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,1,3,5,2,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,3,2,4,7,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,2,5,7,1,6]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,8,2,5,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,2,5,8,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,7,8,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,3,8,5,1,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,2,1,6,4,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,8,3,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,8,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,2,5,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,5,3,8,7,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,6,5,3,1,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,8,5,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,6,5,4,2,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,6,2,1,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,7,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,8,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,8,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,5,7,4,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,7,3,1,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,4,8,3,7,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,3,6,7,1,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,3,6,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,3,8,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,1,7,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,1,6,4,2,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,7,5,6,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,1,2,7,5,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,2,5,8,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,5,8,7,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,3,6,7,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,2,6,3,8,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,4,8,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,4,6,1,8,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,7,2,8,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,8,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,4,8,1,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,8,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,3,8,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,8,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,1,2,8,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,2,8,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,6,8,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,8,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,8,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,3,2,9,8,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[11,9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]=>([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[8,5,4,3,7,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,5,4,3,9,2,8,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,4,3,2,8,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,5,4,3,2,9,7,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,7,6,5,4,3,2,10,9,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,8,7,6,5,4,3,2,11,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[7,3,1,4,8,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,2,5,8,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,2,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,2,4,6,8,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,5,1,6,2,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,6,3,1,8,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,1,4,3,2,8,6]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,2,3,7,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,7,1,3,8,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,2,7,3,1,6,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,1,2,7,6,8,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,8,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,1,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,4,5,7,2,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,7,4,5,3,1,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,8,4,3,5,1,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,7,4,2,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,1,3,7,2,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,1,3,6,5,4,7]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,3,5,4,1,6]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,6,8,7,1,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,3,6,1,8,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,3,6,5,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,3,8,4,1,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,6,3,7,1,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,5,8,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,8,3,4,5,1,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,2,4,6,5,8]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,6,8,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,6,5,2,7,4,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,5,3,4,1,7]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,3,5,6,8,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,4,2,1,5,6,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,2,8,5,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,7,5,8,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,6,5,1,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,4,1,2,5,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,6,5,2,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,5,1,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,6,8,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,7,5,6,8,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,4,8,6,7,1,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,6,8,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,6,1,8,5,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,7,5,8,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,7,5,1,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,6,8,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,5,6,8,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,6,5,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,4,5,3,1,6]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,4,3,5,1,6]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,4,2,6,5,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,7,3,6,2,5,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,2,6,8,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,3,6,1,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,3,6,5,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,2,4,5,6,7,1]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,4,1,6,7,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,6,2,4,1,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,5,3,7,1,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,6,5,1,4,7,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,1,4,6,7,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,5,4,6,7,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,5,6,3,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,5,6,1,8,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,7,5,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,1,4,5,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,3,4,5,1,6]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,2,4,6,5,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,5,6,2,3,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,5,2,6,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,3,4,1,6]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,4,3,1,6]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,5,6,3,2,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,3,7,6,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,3,5,2,8,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,7,5,1,6,2]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,2,5,1,6,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,6,2,3,5,8,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,7,2,4,6,8,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,1,2,6,8,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,7,3,6,8,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,4,7,5,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,6,2,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,1,3,8,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,4,3,1,8,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,3,1,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,2,3,4,8,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,3,4,1,6,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,1,3,8,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,3,4,8,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,2,7,8,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,6,7,1,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,5,2,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,5,4,2,3,7]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,2,5,3,4,6]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,8,5,1,2,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,1,8,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,2,8,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,8,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,2,8,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,5,8,6,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,6,4,2,8,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,6,1,2,8,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,7,8,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,3,6,8,7,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,8,2,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,6,8,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,6,8,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,2,3,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,8,4,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,8,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,4,8,5,1,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,4,8,1,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,8,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,3,5,4,6,2]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,8,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,8,3,1,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,4,8,2,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,2,1,3,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,6,3,1,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,4,5,3,6]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,6,2,5,4,7]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,6,3,5,4,8]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,6,3,5,4,8]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,5,4,3,6,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,5,4,3,6,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,3,5,4,2,6,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,3,4,2,6,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,6,2,3,7,4]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,5,3,2,6,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,3,5,2,6,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,4,5,3,6,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,4,5,3,6,8]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,3,1,5,4,7,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,1,5,4,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,4,5,2,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,5,4,2,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,1,6,2,5,4,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,6,2,5,4,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,4,5,2,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,1,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,5,4,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,4,1,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,4,1,5,2,7,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,1,5,3,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,1,5,3,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,1,3,7,4,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,1,3,7,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,1,3,7,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,2,4,5,3,8]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,8,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,5,4,3,8]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,2,1,3,7,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,3,7,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,6,1,5,3,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,3,5,2,6,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,5,3,2,6,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,4,2,6,3,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,6,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,1,2,7,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,3,1,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,6,1,2,7,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,5,2,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,8,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,5,4,1,3,6]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,5,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,1,2,7,8,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,1,5,3,8,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,4,1,3,8,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,2,4,5,3,8,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,7,5,3,8,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,7,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,2,7,1,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,1,5,3,8,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,2,4,7,8,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,7,8,5,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,6,7,1,5,2]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,6,7,2,3,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,7,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,7,2,6,4,3]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,2,5,6,3,4]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,7,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,5,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,2,7,8,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,8,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,1,5,6,3,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,7,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,8,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,2,1,8,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,2,1,6,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,5,8,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,4,6,8,7,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,8,2,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,4,8,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,8,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,1,2,6,7,5]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,1,6,3,4,7,2]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,8,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,8,1,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,8,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,8,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,3,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,3,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,3,5,2,7,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,3,5,6,2,4]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,1,2,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,3,6,7,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,3,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,5,1,4,3,7,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,8,4,1,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,5,4,1,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,6,3,8,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,5,7,6,3,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,6,5,1,8,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,3,4,1,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,5,2,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,5,1,4,8,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,5,1,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,2,5,3,4,7]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,5,1,8,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,2,8,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,5,1,8,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,6,5,8,1,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,8,7,6,3,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,8,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,3,5,7,4,6,2]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,8,7,5,1,6,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,5,1,6,7,2,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,1,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,8,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,8,6,7,4,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,8,6,7,4,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,8,6,7,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,4,6,7,1,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,3,8,6,7,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,8,6,7,4,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,5,3,8,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,2,8,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,3,5,2,7,4]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,6,2,5,3,1,4]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,8,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,8,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,2,8,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,7,5,2,6,4]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,8,7,5,1,6,2]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,5,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,8,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,7,5,6,3]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,8,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,2,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,2,6,7,3,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,8,1,6,7,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,4,6,7,3,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,4,6,7,2,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,2,6,7,1,5]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,8,1,6,7,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,8,1,6,7,3,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,8,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,2,1,5,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,7,4,1,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,1,6,7,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,4,6,7,2,5]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,4,6,7,1,5]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,7,3,8,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,2,8,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,8,4,6,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,6,5,3,1,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,2,5,3,1,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,6,2,5,4,1,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,8,3,2,6,1,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,2,4,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,8,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,3,6,4,2,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,2,5,3,1,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,4,3,2,8,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,2,8,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,3,1,2,6,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,3,5,1,4,6]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,8,6,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,7,3,8,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,7,4,3,8,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,4,3,8,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,2,8,7,4,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,4,2,7,6,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,7,2,6,5,4]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,8,3,7,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,6,8,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,7,8,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,1,6,7,2,5,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,6,1,2,5,3,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,1,5,2,4,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,8,3,2,7,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,6,1,2,5,4,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,1,3,2,6,8]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,8,2,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,6,2,1,5,3,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,3,8,5,7,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,6,8,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,2,3,8,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,5,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,6,1,7,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,2,1,7,5,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,2,1,5,8,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,4,1,8,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,8,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,2,8,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,3,2,8,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,1,2,5,8,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,8,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,2,1,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,8,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,8,7,6,2,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,8,7,2,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,1,8,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,2,8,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,1,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,7,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,5,8,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,7,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,6,2,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,7,6,5,2,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,4,5,2,3,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,5,2,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,6,7,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,7,3,4,2,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,3,4,2,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,2,8,4,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,8,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,4,7,3,5,2,6]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,6,2,5,4,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,6,2,4,5,8]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,6,2,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,6,2,4,3,7]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,8,5,6,4,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,8,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,2,8,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,7,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,4,7,2,8,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,3,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,2,3,5,1,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,4,8,2,3,6,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,8,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,6,2,4,5,1,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,2,3,5,1,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,5,3,4,8,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,6,4,8,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,7,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,6,3,7,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,3,7,4,8,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,5,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,4,8,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,7,2,3,4,6]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,8,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,3,8,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,5,7,8,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,5,1,2,4,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,1,2,4,5,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,1,2,3,5,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,8,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,7,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,4,8,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,8,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,2,3,8,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,2,3,1,7,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,1,2,7,3,5]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,2,8,6,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,1,3,8,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,1,3,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,1,8,2,3,6,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,8,7,2,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,1,8,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,3,8,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,6,8,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,5,8,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,8,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,2,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,6,4,5,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,3,6,5,4,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,8,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,4,3,2,5,6,8]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,3,8,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,7,5,8,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,1,7,5,8,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,4,6,5,2,3,8]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,6,5,8,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,6,3,8,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,3,2,5,8,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,6,5,2,8,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,6,5,3,8,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,6,5,3,2,8]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,7,5,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,7,2,6,8,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,1,6,8,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,1,6,8,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,7,5,3,6,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,1,7,8,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,3,8,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,7,5,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,7,5,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,7,2,6,8,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,3,6,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,7,2,6,5,1,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,5,6,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,1,2,6,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,7,1,6,2,5,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,1,6,2,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,2,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,1,2,6,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,3,6,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,7,2,6,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,3,7,5,1,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,7,5,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,4,3,1,5,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,4,1,5,2,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,7,3,6,1,5,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,3,6,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,8,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,8,5,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,8,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,8,6,5,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,5,1,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,8,6,1,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,7,5,2,6,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,8,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,8,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,5,8,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,4,8,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,3,8,4,1,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,7,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,8,6,4,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,8,4,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,3,6,2,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,3,7,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,4,3,8,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,3,8,2,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,6,3,8,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,3,8,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,3,5,2,8,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,3,5,2,7,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,3,5,2,6,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,8,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,3,5,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,8,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,3,8,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,3,8,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,8,2,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,6,2,4,7,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,1,4,8,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,2,4,6,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,5,6,8,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,5,8,6,3,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,5,8,6,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,5,8,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,5,7,8,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,7,5,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,1,4,8,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,1,4,8,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,5,7,8,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,5,4,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,5,7,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,7,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,7,1,8,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,1,8,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,2,1,8,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,8,5,6,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,6,5,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,6,7,8,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,6,8,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,6,8,5,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,6,8,5,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,1,8,4,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,8,7,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,8,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,8,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,6,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,1,6,7,8,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,1,5,8,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,7,8,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,1,8,7,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,6,4,7,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,6,4,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,8,4,6,5,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,4,6,7,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,4,7,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,8,7,4,6,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,1,7,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,1,8,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,1,8,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,1,8,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,7,8,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,1,8,4,5,7,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,2,8,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,8,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,8,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,8,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,7,3,8,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,2,6,8,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,3,8,2,4,6,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,3,7,8,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,2,5,8,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,8,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,7,8,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,2,1,5,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,6,4,2,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,6,3,4,2,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,2,1,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,2,1,5,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,4,2,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,4,1,7,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,8,5,4,1,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,1,6,3,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,8,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,3,5,4,1,7]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,6,4,2,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,5,7,8,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,8,6,3,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,5,7,6,2,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,2,1,8,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,8,5,6,4,3,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,8,5,6,3,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,2,1,5,6,3,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,6,3,8,4,1,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,2,1,8,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,8,5,6,4,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,6,4,2,1,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,2,1,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,4,2,1,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,6,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,7,6,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,2,4,1,8,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,1,7,6,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,3,8,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,8,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,6,4,3,7,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,2,1,3,7,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,8,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,6,2,3,8,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,1,8,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,7,5,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,2,3,7,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,5,7,6,2,1,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,2,1,3,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,6,1,8,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,8,4,3,6,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,6,1,7,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,8,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,8,4,3,2,1,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,4,9,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,4,3,8,2,1,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,4,3,2,8,1,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,9,8,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,9,6,5,4,3,2,1,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,5,8,9,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[8,7,6,9,5,4,3,2,1,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,4,3,7,5,2,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,5,10,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,3,2,8,4,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,4,9,3,2,1,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,2,7,8,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,4,3,9,2,1,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,10,9,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,5,4,8,6,3,2,1,9]=>[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[5,9,8,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,11,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[6,4,3,2,5,8,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,2,5,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,5,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,8,7,6,5,4,3,11,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[8,7,6,5,4,3,1,10,9,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,4,2,6,3,1,7,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,3,7,4,2,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,3,4,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,2,3,1,7,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,3,4,2,8,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,6,3,2,5,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,2,1,4,6,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,5,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,2,3,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,3,1,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,6,4,1,7,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,5,4,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,3,7,5,2,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,4,2,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,1,6,3,2,5,8,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,4,3,6,8,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,3,2,6,7,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,7,1,5,6,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,7,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,8,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,7,1,5,6,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,2,8,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,2,8,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,3,8,1,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,3,1,6,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,2,1,3,6,8,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,1,3,6,7,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,3,2,4,7,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,1,3,2,6,7,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,1,3,4,2,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,2,1,5,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,1,3,6,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,3,2,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,1,2,4,5,8,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,4,5,7,3]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,2,4,5,6,3]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,3,2,6,7,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,3,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,3,2,5,7,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,4,3,7,8,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,7,6,3,2,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,2,7,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,8,1,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,3,2,5,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,1,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,7,1,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,7,4,1,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,4,7,8,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,7,8,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,2,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,4,8,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,4,8,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,3,8,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,2,6,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,2,7,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,8,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,6,7,8,5,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,7,5,4,2,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,5,4,7,8,3]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,5,6,3,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,4,8,5,7,3]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,1,5,2,3,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,1,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,3,8,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,5,8,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,5,4,8,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,5,8,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,3,7,5,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,7,8,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,4,7,8,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,6,3,7,8,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,4,8,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,3,8,7,2,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,8,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,7,4,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,2,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,6,8,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,1,3,8,2,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,4,7,2,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,4,7,2,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,5,7,8,4,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,3,2,7,4,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,1,6,2,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,2,5,4,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,7,5,2,4,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,5,7,4,3,8,1,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,3,7,4,8,1,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,6,7,8,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,7,8,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,4,8,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,2,1,7,8,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,2,6,8,4,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,2,4,8,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,3,7,2,8,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,3,8,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,6,8,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,7,8,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,3,7,2,4,1,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,4,7,3,1,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,7,8,3,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,5,8,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,4,2,8,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,8,1,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,8,1,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,6,8,1,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,7,3,2,4,6]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,7,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,7,8,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,6,8,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,4,8,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,8,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,7,3,1,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,7,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,4,6,2,3,1,5]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,8,7,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,4,2,8,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,4,1,7,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,8,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,6,8,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,8,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,7,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,3,7,4,1,6,5]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,7,8,4,1,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,4,8,2,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,4,1,6,8,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,4,2,3,7,5]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,8,6,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,3,1,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,7,4,2,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,7,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,6,4,2,3,8,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,6,4,2,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,7,6,2,3,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,5,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,5,1,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,1,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,1,5,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,5,3,8,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,5,3,8,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,3,1,8,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,1,8,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,8,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,8,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,8,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,3,8,1,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,5,8,3,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,5,8,3,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,5,8,3,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,5,8,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,3,8,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,8,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,5,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,1,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,8,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,8,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,8,5,7,3,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,8,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,8,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,5,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,5,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,3,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,1,8,5,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,8,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,8,5,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,6,8,5,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,6,8,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,1,8,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,8,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,8,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,8,7,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,8,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,8,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,3,8,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,1,8,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,3,8,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,3,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,8,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,8,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,1,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,8,7,1,5,3,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,7,5,3,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,8,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,4,8,7,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,8,7,3,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,1,8,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,7,5,1,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,8,7,3,5,1,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,5,6,8,9,7,1]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,7,8,5,6,1]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,1,4,8,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,1,3,7,8,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,5,6,7,10,1,8,9]=>[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,5,3,2,6,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,2,6,7,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,2,8,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,2,7,5,4,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,5,2,4,3,7,1,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,5,3,7,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,7,6,2,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,6,4,8,2,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,8,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,3,7,5,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,3,6,5,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,3,5,6,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,7,4,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,6,4,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,3,5,7,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,2,1,6,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,6,8,4,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,2,8,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,1,8,6,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,4,2,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,6,1,8,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,2,7,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,3,4,8,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,2,3,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,8,2,3,5,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,8,4,5,7,6]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,2,1,4,5,8,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,3,4,6,8,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,4,8,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,4,7,6,5]=>[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,4,6,7,5]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,3,5,4,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,4,3,5,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,1,4,5,7,6]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,1,5,6,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,1,6,5,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,1,8,3,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,7,3,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,6,2,1,5,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,2,5,3,1,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,4,3,1,6,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,5,4,1,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,2,5,1,8,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,4,1,8,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,8,1,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,2,7,4,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,2,8,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,8,5,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,2,1,8,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,8,4,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,4,3,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,3,5,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,3,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,3,4,8,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,3,4,7,2,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,3,4,6,8,5]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,4,8,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,3,4,1,8,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,3,4,1,7,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,7,3,5,4,2,6]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,7,4,5,1,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,3,4,1,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,3,4,8,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,3,4,7,1,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,4,8,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,3,5,6,1,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,3,6,1,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,2,1,6,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,2,6,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,7,2,6,1,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,1,6,3,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,1,4,7,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,5,1,7,6,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,4,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,5,2,7,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,4,7,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,8,3,6,7,1,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,6,2,4,1,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,6,4,1,3,5]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,2,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,6,4,2,3,5]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,6,3,1,4,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,6,2,4,3,5]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,6,3,4,2,5]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,4,5,6,7,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,3,6,5,8,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,2,6,5,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,1,6,5,8,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,2,8,5,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,1,8,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,8,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,1,7,5,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,3,8,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,1,6,8,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,2,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,6,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,7,5,8,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,7,5,6,3,8,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,7,6,4,3,1,5]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,1,2,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,2,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,2,1,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,4,1,2,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,3,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,5,6,8,1,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,6,4,2,1,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,6,8,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,6,3,5,4,8,2]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,7,2,6,5,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,1,5,7,2,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,5,8,6,3,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,5,8,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,1,4,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,6,5,7,8,2,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,8,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,6,8,5,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,5,1,4,8,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,4,2,3,6,8,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,2,4,7,6,5]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,1,6,5,4,7]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,7,2,5,3,6]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,4,1,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,7,8,6,2,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,6,2,7,1,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,1,6,7,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,8,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,2,7,5,3,8,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,2,8,6,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,4,6,3,1,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,7,2,6,8,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,2,6,1,8,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,2,3,6,1,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,3,5,7,2,4]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,4,3,7,1,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,6,4,7,1,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,8,7,6,5,1,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,7,3,6,5,4]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,7,3,6,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,8,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,8,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,4,7,6,1,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,8,4,7,2,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,8,2,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,8,4,2,7,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,4,3,7,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,8,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,8,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,4,8,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,8,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,4,8,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,4,8,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,8,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,8,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,8,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,4,8,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,8,7,6,1,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,4,8,7,6,1,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,5,8,7,2,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,4,8,7,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,4,8,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,8,2,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,8,3,7,1,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,8,1,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,8,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,8,3,2,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,4,8,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,3,8,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,4,8,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,1,8,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,5,3,8,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,4,8,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,3,8,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,4,8,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,4,8,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,5,1,8,7,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,4,8,7,1,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,4,8,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,3,8,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,4,8,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,5,4,8,2,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,5,4,8,2,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,5,2,3,8,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,4,2,8,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,2,3,8,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,2,4,3,8,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,4,2,8,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,2,3,8,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,2,4,3,8,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,4,3,8,1,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,4,3,2,8,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,4,3,2,8,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,2,6,7,8,1,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,2,6,8,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,2,6,1,7,5]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,7,3,5,4,1,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,3,5,4,1,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,8,3,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,2,8,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,2,7,5,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,6,3,7,5,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,3,6,8,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,2,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,2,6,1,8,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,2,8,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,2,1,5,3,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,1,2,6,5,3,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,1,5,6,8,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,1,5,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,5,1,6,8,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,1,7,6,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,1,2,7,5,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,3,6,5,4,8]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,2,6,5,3,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,1,2,8,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,1,5,6,7,2]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,1,8,6,7,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,6,3,1,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,3,4,8,6,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,8,1,6,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,3,4,1,6,7,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,8,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,2,5,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,1,4,6,8,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,3,4,7,6,8,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,4,2,7,5,3,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,7,1,6,8,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,1,8,3,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,2,1,5,3,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,6,5,4,1,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,8,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,9,7,6,5,4,3,2]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,10,9,8,7,6,5,4,1,3]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,2,8,7,6,5,4,1,3]=>[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,9,8,7,6,5,4,1,2]=>[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,2,6,5,4,1,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,7,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,9,1,7,6,5,4,3,2]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,3,8,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,5,7,6,3,2,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,6,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,1,5,3,2,4,7]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,8,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,7,5,3,2,4,6]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,4,5,2,3,7]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,3,1,5,2,4,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,1,5,2,3,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,1,5,4,3,7]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,6,1,4,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,1,7,4,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,7,5,1,3,4,6]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,7,5,2,3,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,7,1,5,4,3,6]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,1,7,4,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,7,4,3,2,6,5]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,7,3,2,6,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,8,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,6,1,5,7,3,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,2,5,1,8,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,1,6,8,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,1,8,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,3,8,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,1,8,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,4,8,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,4,7,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,4,1,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,4,1,2,5,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,7,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,1,7,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,4,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,8,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,7,4,6,2,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,1,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,8,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,1,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,1,8,5,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,7,8,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,7,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,1,7,3,2,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,7,1,2,6,5]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,4,1,3,6,5]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,8,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,3,8,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,3,6,7,1,5,4]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,5,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,5,2,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,6,8,1,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,4,6,8,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,5,7,3,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,3,6,8,1,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,6,8,1,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,4,6,8,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,5,2,6,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,5,7,2,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,5,7,2,6,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,3,7,2,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,1,7,8,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,1,7,8,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,3,4,8,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,1,3,4,6,8,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,7,1,3,6,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,7,1,5,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,1,7,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,7,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,4,1,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,5,6,7,4,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,7,3,4,8,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,3,5,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,3,4,5,8,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,7,4,5,8,1,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,7,4,8,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,6,1,2,7,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,6,1,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,6,7,4,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,6,1,7,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,3,7,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,7,3,5,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,2,4,5,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,2,8,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,4,8,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,4,6,8,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,4,6,8,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,4,6,8,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,2,6,8,1,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,2,5,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,2,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,2,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,5,7,3,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,4,5,1,7,8,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,1,2,5,6,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,5,8,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,1,2,5,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,7,3,8,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,6,7,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,1,7,8,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,4,1,2,7,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,1,2,7,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,1,7,8,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,7,2,8,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,1,3,4,8,2]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,1,3,8,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,3,1,7,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,3,2,4,8,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,2,6,1,3,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,2,1,6,3,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,3,4,1,6,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,3,1,6,2,7]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,2,1,8,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,4,2,1,6,8,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,5,3,1,6,8,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,5,6,1,8,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,7,4,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,1,4,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,4,1,5,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,2,1,5,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,7,3,1,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,7,8,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,7,2,4,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,3,8,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,2,8,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,3,2,4,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,1,3,8,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,4,1,2,8,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,2,4,1,8,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,2,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,2,7,8,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,2,7,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,2,7,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,5,2,7,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,5,2,6,1,8,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,5,6,1,2,8,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,2,1,3,8,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,3,5,1,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,7,4,1,2,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,2,4,1,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,2,7,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,7,2,1,8,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,2,1,4,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,7,3,1,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,5,6,1,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,8,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,5,8,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,5,8,6,1,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,3,8,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,7,8,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,7,8,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,3,7,8,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,8,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,5,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,8,5,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,8,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,8,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,7,8,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,8,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,7,5,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,3,8,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,1,5,3,8,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,8,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,5,8,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,7,1,8,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,7,1,8,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,7,3,1,8,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,8,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,8,1,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,8,3,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,8,5,3,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,7,8,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,6,1,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,8,1,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,8,3,5,6,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,3,8,5,6,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,1,8,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,8,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,1,8,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,1,8,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,5,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,8,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,3,8,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,3,8,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,1,5,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,5,8,6,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,3,7,8,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,5,1,7,8,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,1,7,8,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,1,5,8,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,1,8,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,3,1,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,8,3,5,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,8,5,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,5,8,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,7,8,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,3,4,8,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,4,8,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,4,1,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,1,4,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,1,4,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,4,1,2,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,1,4,2,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,1,4,2,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,1,2,8,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,3,5,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,8,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,1,2,6,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,4,3,5,2,8,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,3,8,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,7,8,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,2,8,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,2,5,8,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,4,5,1,3,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,4,6,3,2,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,2,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,6,7,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,8,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,3,4,8,1,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,2,5,3,4,6]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,6,2,8,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,8,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,4,6,8,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,6,5,7,1,4,2]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,7,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,1,8,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,6,3,8,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,8,4,6,7,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,8,6,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,5,6,7,2,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,4,8,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,3,6,7,5,1,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,7,6,3,5,4]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,5,8,1,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,6,3,2,1,8,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,3,2,1,8,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,5,2,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,8,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,7,2,3,1,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,1,8,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,1,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,2,3,1,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,6,5,1,8,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,2,1,8,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,5,6,8,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,2,6,4,1,5,3]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,8,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,3,6,8,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,7,8,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,8,3,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,1,5,7,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,8,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,7,4,3,2,8,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,1,5,7,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,6,7,3,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,8,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,8,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,2,5,7,6,1]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,7,4,8,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,3,7,5,1,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,8,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,7,2,8,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,5,8,7,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,8,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,8,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,4,8,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,5,8,7,6,1,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,3,8,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,3,8,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,5,6,2,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,4,6,3,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,5,2,8,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,3,2,8,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,3,5,1,8,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,5,1,8,7,6,2]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,2,8,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,2,8,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,2,5,1,8,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,2,7,5,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,3,6,2,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,3,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,8,2,1,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,2,5,1,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,8,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,7,1,3,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,4,7,6,5]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,2,1,7,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,7,2,8,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,2,8,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,3,8,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,1,2,8,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,2,8,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,8,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,7,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,6,4,1,3,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,7,5,8,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,4,5,8,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,3,4,1,5,8]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,4,6,5,1,2]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,7,5,6,3,1,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,4,5,1,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,5,2,8,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,2,1,4,3,7]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,3,1,4,5,8]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,4,5,1,3,8]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,6,4,1,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,3,7,5,8,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,6,8,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,4,3,7,5,2]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,7,4,8,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,3,7,5,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,7,3,6,5,4]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,4,7,5,6]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,7,4,3,6,5]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,8,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,2,1,5,4,3,6]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,3,1,4,6,5,7]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,4,8,3,1,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,7,1,5,6,8]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,3,1,4,6,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,2,1,5,4,6]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,7,2,8,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,5,8,6,7,3]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,8,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,5,7,1,3,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,6,2,7,1,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,3,1,8,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,1,8,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,1,2,8,3,7,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,4,3,7,5,2]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,4,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,7,1,3,8,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,1,7,4,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,7,5,4,6,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,7,4,6,5,2]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,8,7,6,3,5,4]=>[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,1,7,6,4,3,5]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,1,8,7,4,5,6]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,1,8,5,7,3,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,1,8,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,6,5,4,3,2]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,3,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,8,7,5,6,3,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,4,5,9,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,2,3,4,9,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,2,9,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,9,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,2,3,4,5,6,10,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,1,7,8,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,8,7,2,6,4,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,4,5,8,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,7,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,3,8,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,5,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,8,2,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,2,4,1,3,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,8,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,3,4,6,1,5,7]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,3,4,6,1,8,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,4,7,5,1,6]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,3,4,6,8,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,3,6,1,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,3,7,5,1,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,3,4,7,8,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,4,7,1,6,5]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,4,8,7,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,6,8,1,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,5,7,6,1,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,4,5,1,8,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,6,4,5,1,2,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,5,8,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,7,5,2,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,3,6,5,1,2,4]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,7,5,1,6,3,4]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,5,8,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,1,7,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,7,8,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,3,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,3,1,6,4,5]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,3,2,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,8,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,4,7,5,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,4,8,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,4,1,7,5,6]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,3,4,1,8,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,4,8,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,3,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,4,1,8,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,4,1,5,8,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,7,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,7,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,4,6,5,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,5,4,6,2,3]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,5,1,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,5,7,1,6,3,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,7,1,5,6,3,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,4,5,6,3,2]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,5,6,1,3,2]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,1,4,6,2,3]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,5,1,4,6,3]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,4,8,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,1,4,2,5,6,3]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,1,2,4,6,3]=>[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,5,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,1,2,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,7,1,2,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,5,7,1,6,4]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,1,5,6,2,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,7,1,6,2,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,6,7,5,1,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,6,7,5,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,6,2,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,4,1,2,6,5,3]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,8,6,7,5,2,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,8,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,1,5,6,3,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,5,2,4,6,3]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,8,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,5,7,2,6,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,7,2,5,6,4]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,7,1,3,5,6,4]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,8,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,3,7,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,8,6,7,5,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,4,2,7,5,6,1,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,3,6,1,7,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,4,7,5,1,6,2]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,4,5,1,6,2]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,2,5,6,1,3]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,5,1,6,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,4,1,5,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,6,1,7,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,6,7,1,5,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,4,1,2,5,6,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,7,1,6,3,4,5]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,1,3,6,4,5]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,6,7,1,5,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,1,3,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,7,2,3,6,4,5]=>[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,2,6,3,4,5]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,7,3,6,1,4,5]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,3,6,2,4,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,2,7,6,3,4,5]=>[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,7,4,1,5,6,3]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,1,7,5,6,3,4]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,3,1,5,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,7,3,5,6,1,4]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,1,6,7,5,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,1,6,7,4,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,8,6,7,4,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,6,7,5,3,4]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,6,7,5,2,4]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,3,6,7,5,1,4]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,2,5,6,1,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,7,5,6,2,4]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,2,7,5,6,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,2,6,7,5,3]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,8,6,7,3,5,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,2,7,3,6,4,5]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,3,6,2,4,5]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,2,6,3,4,5]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,2,3,6,4,5]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,3,7,2,5,6,4]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,6,7,2,5,4]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,2,3,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,1,2,5,6,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,2,3,6,4,5]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,5,7,4,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,7,4,2,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,2,4,5,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,4,3,5,7,1]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,7,6,1,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,7,6,3,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,1,8,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,7,5,8,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,6,8,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,6,3,2,5,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,3,1,4,8,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,8,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,3,4,6,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,4,6,2,1,3,7,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,4,8,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,6,8,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,2,8,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,7,2,1,8,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,3,4,1,2,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[9,8,7,6,5,2,3,1,4]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,6,7,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,4,2,5,6,1,3,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,2,8,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,8,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,6,4,2,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,7,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,6,8,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,6,7,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,8,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,6,7,2,4,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,8,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,4,8,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,2,4,3,7,8,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,2,8,7,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,3,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,3,8,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,6,8,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,8,5,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,8,6,2,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,2,5,7,8,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,7,4,6,8,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,7,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,6,7,1,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,3,6,7,2,4,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,2,7,5,3,6]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,3,8,2,7,4,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,1,8,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,2,8,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,4,8,1,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,4,2,6,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,4,1,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,2,6,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,1,8,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,3,8,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,3,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,3,2,5,4,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,4,3,5,2,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,1,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,4,1,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,6,5,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,1,4,2,7,3,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,2,4,1,5,3,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,2,4,3,5,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,2,3,1,5,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,5,4,8,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,6,5,7,3,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,4,7,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,1,6,4,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,7,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,2,4,3,7,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,6,1,7,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,3,7,2,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,1,7,2,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,4,1,7,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,4,3,7,2,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,3,2,7,4,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,1,3,2,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,4,5,1,3,2,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,5,8,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,2,7,6,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,7,1,3,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,3,2,7,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,6,2,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,1,6,5,7,2,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,3,1,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,3,7,6,8,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,7,3,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,7,2,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,4,6,1,7,2,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,4,7,2,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,6,1,7,4,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,6,4,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,2,6,1,7,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,3,1,7,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,3,6,1,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,3,6,4,7,1,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,6,1,7,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,5,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,7,3,8,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,7,4,3,8,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,7,6,4,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,2,8,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,7,3,1,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,5,6,8,4,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,2,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,2,7,1,8,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,4,3,6,8,2,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,5,7,8,3,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,5,6,8,4,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,6,8,7,3,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,2,7,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,7,5,8,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,8,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,4,1,8,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,8,5,7,2,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,7,3,1,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,6,8,1,7,4,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,6,1,8,7,3,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,1,8,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,2,1,7,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,7,6,1,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,6,1,7,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,6,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,2,7,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,3,2,7,4,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,1,7,5,3,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,3,7,4,2,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,6,4,2,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,4,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,6,3,7,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,1,7,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,3,1,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,1,7,4,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,4,1,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,2,8,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,7,1,3,6,5,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,1,3,7,5,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,6,2,7,4,3,8]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,6,4,3,1,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,6,4,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,1,6,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,3,1,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,1,6,2,7,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,4,2,7,3,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,1,5,4,3,7,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,2,5,4,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,6,4,3,2,7,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,6,3,2,7,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,6,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,1,6,5,4,8,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,7,6,5,8,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,2,6,5,4,1,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,1,5,4,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,8,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,6,8,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,7,2,5,4,1,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,1,6,8,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,1,5,6,3,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,8,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,7,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,2,5,6,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,4,3,2,5,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,7,1,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,6,5,2,4,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,2,4,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,7,2,4,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,8,2,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,6,4,7,1,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,6,3,5,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,8,7,2,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,2,7,6,3,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,5,1,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,6,1,5,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,7,4,6,1,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,2,1,7,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,8,3,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,2,1,8,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,6,7,3,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,2,1,7,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,6,4,2,1,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,8,4,7,6,5]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,4,8,6,5,1,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,1,4,7,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,7,3,6,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,2,8,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,3,8,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,3,8,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,2,7,4,1,8,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,2,7,5,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,5,1,3,8,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,4,3,8,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,4,8,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,2,8,7,6,1,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,3,2,7,8,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,8,5,2,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,6,2,4,1,8,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,5,8,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,8,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,7,8,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,4,1,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,7,6,3,2,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,7,6,3,1,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,7,5,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,5,3,1,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,7,4,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,2,8,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,1,8,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,3,1,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,5,7,4,1,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,1,7,4,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,6,2,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,4,8,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,2,7,1,8,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,4,3,8,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,3,8,6,7,1,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,7,4,5,3,6]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,8,3,6,1,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,8,5,6,4,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,6,4,7,1,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,6,4,8,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,3,1,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,4,3,6,1,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,1,5,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,1,6,2,5,3,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,5,3,6,2,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,1,7,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,5,1,4,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,7,1,4,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,6,3,4,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,5,6,3,4,2,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,5,6,4,7,2,3]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,1,6,4,8,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,8,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,4,2,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,4,2,8,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,5,8,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,8,2,3,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,2,6,5,8,1,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,6,2,8,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,5,4,7,2,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,2,7,1,8,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,3,1,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,3,8,1,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,8,4,7,1,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,8,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,8,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,8,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,8,2,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,6,8,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,8,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,8,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,4,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,8,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,5,2,8,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,2,5,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,4,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,5,8,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,3,8,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,2,8,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,8,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,8,6,2,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,8,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,3,8,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,3,4,8,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,7,8,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,5,8,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,5,8,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,7,8,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,7,4,5,8,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,8,3,4,1,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,2,7,4,3,8,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,3,2,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,3,8,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,8,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,8,4,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,8,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,8,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,7,8,2,6,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,5,7,8,6,1,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,6,8,1,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,4,8,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,6,8,7,1,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,8,7,2,3,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,5,8,6,2,3,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,4,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,4,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,6,8,2,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,8,6,2,7,3]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,8,3,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,2,3,5,8,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,2,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,2,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,7,6,2,3,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,8,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,5,7,6,2,8,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,4,5,2,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,7,2,3,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,1,6,5,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,3,5,1,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,4,3,1,5,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,1,6,4,8,5,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,5,2,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,4,5,8,3,7,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,6,3,5,1,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,6,3,5,8,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,4,3,8,5,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,3,6,5,1,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,2,1,8,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,8,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,8,7,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,8,6,5,7,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,6,4,5,1,3,7]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,8,5,3,1,4,6,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,8,3,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,8,3,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,1,5,3,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,1,4,2,3,6,7]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,5,3,2,6,7]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,3,8,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,8,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,4,8,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,4,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,1,8,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,8,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,4,8,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,1,3,8,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,8,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,8,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,7,1,8,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,8,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,8,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,7,4,8,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,7,4,8,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,3,6,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,8,6,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,1,8,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,8,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,8,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,8,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,8,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,8,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,8,1,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,8,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,2,8,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,7,8,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,2,7,6,5,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,2,4,7,3,8,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,5,3,6,4,8,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,1,2,6,7,4,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,7,3,2,6,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,1,7,3,2,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,8,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,8,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,8,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,7,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,8,7,6,2,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,3,5,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,6,3,2,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,1,6,3,2,5,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,3,7,5,4,8]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,5,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,5,2,4,1,6,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,3,4,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,8,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,5,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,3,5,6,4,8]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,3,5,6,4,7]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,5,4,7,6]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,2,4,3,1,5,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,1,2,4,5,7,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,1,8,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,3,7,5,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,2,6,7,5,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,1,7,6,4,2,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,2,4,3,1,5,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,2,4,3,5,1,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,4,6,3,2,5]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,6,5,3,2,4]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,7,3,4,6,8,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,7,2,5,3,6,1,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,3,5,4,8,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,5,8,4,7]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,5,7,4,8]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,3,7,6,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,3,8,6,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,6,3,4,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,2,4,7,1,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,2,5,3,1,8,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,2,3,8,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,3,7,4,5,1,6]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,7,3,2,5,1,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,2,3,1,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,4,5,8,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,4,5,7,1,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,4,6,8,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,3,2,8,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,5,1,8,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,2,6,7,4,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,5,6,7,3,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,6,7,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,3,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,6,8,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,1,8,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,3,8,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,3,6,4,8,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,4,8,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,7,8,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,8,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,3,6,8,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,5,7,1,4,6]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,8,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,8,3,6,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,8,4,6,7,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,8,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,3,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,2,3,5,6,1,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,2,3,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,4,8,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,8,2,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,5,2,8,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,4,1,8,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,4,8,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,1,4,2,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,4,1,8,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,4,8,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,4,2,6,1,5]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,1,5,6,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,2,4,5,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,6,3,7,5,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,4,2,1,6,3,5]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,2,7,4,1,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,8,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,8,1,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,7,5,6,3,4]=>[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,6,7,5,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,6,5,7,2,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,5,4,8,2,3,7]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,5,1,7,4,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,1,8,7,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,8,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,3,4,6,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,4,3,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,8,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,5,4,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,4,6,3,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,4,1,2,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,3,6,2,1,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,6,5,2,7,4]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,4,7,6,5,3]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,1,4,6,7,5,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,5,1,7,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,5,1,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,4,3,5,1,7,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,4,6,5,7,3]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,3,4,5,7,6,2]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,2,4,7,8,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,2,7,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,2,3,7,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,2,1,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,5,1,4,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,5,8,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,8,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,7,6,2,8,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,4,1,6,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,4,6,1,7,3,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,4,7,8,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,2,4,8,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,7,4,8,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,7,4,8,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,8,6,7,4,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,6,7,3,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,6,2,7,3,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,8,5,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,8,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,8,2,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,8,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,8,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,8,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,2,6,8,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,3,2,7,6,8,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,8,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,7,5,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,2,5,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,5,1,4,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,5,3,6,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,7,8,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,8,4,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,8,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,4,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,4,8,6,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,8,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,8,2,7,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,3,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,6,8,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,8,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,8,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,7,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,5,6,3,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,4,5,1,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,5,6,2,4,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,4,3,5,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,2,3,7,4,6]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,5,3,6,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,4,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,8,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,4,1,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,4,3,2,8,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,4,7,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,7,1,4,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,4,3,8,1,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,6,8,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,3,6,5,1,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,5,4,6,3,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,5,8,3,4,1,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,7,3,4,1,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,7,4,1,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,8,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,4,6,1,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,2,8,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,8,5,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,5,7,8,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,2,6,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,7,3,8,1,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,7,5,8,4,3]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,7,8,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,2,4,8,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,1,8,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,3,7,8,4,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,3,8,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,3,8,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,2,3,8,6,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,2,3,7,8,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,2,6,3,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,3,8,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[9,8,7,6,5,4,3,1,2,10]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,7,6,5,4,2,1,3,9]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,9,8,7,6,5,3,2,4]=>[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,8,7,6,2,5,4,3]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,9,8,7,6,5,2,4,3]=>[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,10,9,8,7,6,5,4,2,3]=>[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,9,8,7,6,5,4,3]=>[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,1,9,8,7,6,5,4]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,3,2,9,8,7,6,5,4]=>[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,9,8,7,6,5,4]=>[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,4,3,9,8,7,6,5]=>[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,4,9,8,7,6,5]=>[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,5,4,9,8,7,6]=>[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,3,4,5,9,8,7,6]=>[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,6,5,9,8,7]=>[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,3,4,5,7,6,9,8]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,10,9,8,7,6,5,4,3]=>[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,2,1,10,9,8,7,6,5,4]=>[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,3,2,10,9,8,7,6,5,4]=>[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,10,9,8,7,6,5,4]=>[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,10,9,8,7,6,5]=>[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,5,6,10,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,5,6,7,10,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,2,7,4,1,6,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,1,5,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,8,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,3,8,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,3,7,1,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,3,7,5,1,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,3,4,8,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,3,1,5,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,8,7,6,5,2,1,4,3]=>[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,7,6,3,1,5,2,4]=>[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[5,4,3,1,9,8,7,2,6]=>[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,9,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,4,8,5,3,7,1,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,8,5,3,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,6,3,1,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,6,8,2,1,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,5,8,2,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,5,3,2,7,6]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,5,2,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,6,2,1,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,2,1,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,2,7,8,1,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,6,3,7,2,5]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,6,3,7,5,2]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,6,2,1,7,4,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,6,7,3,4,2]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,6,7,3,2,4]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,1,6,8,7,2,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,1,8,7,2,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,8,6,7,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,2,6,7,5,4]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,8,6,7,1,5,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,8,6,7,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,8,6,1,7,4,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,1,8,7,4,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,1,6,8,7,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,7,1,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,6,2,7,5,3]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,1,6,7,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,1,7,8,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,1,7,3,8,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,1,6,7,4,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,6,7,4,2,3]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,6,7,4,3,2]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,6,7,4,2,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,1,7,3,2,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,2,7,8,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,4,8,7,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,8,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,2,4,7,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,2,4,7,3,5]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,2,1,4,8,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,1,7,8,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,2,4,8,3,5]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,1,3,4,8,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,3,4,7,2,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,3,4,7,2,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,5,4,8,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,2,5,4,8,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,3,4,7,1,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,6,1,4,7,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,5,4,8,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,5,4,8,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,7,5,4,8,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,8,4,7,3,1,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,5,4,8,1,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,5,4,8,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,5,4,8,2,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,8,4,7,3,2,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,4,7,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,7,3,1,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,6,2,1,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,4,7,3,1,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,4,7,3,2,6]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,7,3,2,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,5,4,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,3,1,4,7,2,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,4,2,7,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,4,1,7,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,4,6,8,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,3,2,7,8,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,1,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,3,5,4,8,1,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,5,4,7,3,1,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,4,6,8,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,5,4,7,3,1,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,5,4,8,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,1,4,7,8,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,6,4,3,5,2]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,2,7,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,1,8,6,4,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,5,1,6,3,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,5,2,1,4,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,5,2,1,7,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,6,5,2,1,8,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,2,8,1,3,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,5,1,8,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,5,2,1,4,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,6,3,1,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,8,1,4,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,8,1,5,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,5,2,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,6,3,1,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,7,6,3,1,5,4]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,7,6,3,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,1,6,5,7,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,7,3,6,1,4,5]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,5,2,1,4,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,5,1,3,7,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,6,8,1,4,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,6,3,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,5,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,6,1,8,4,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,3,1,4,5,7]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,1,4,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,1,3,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,1,7,3,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,5,7,3,6,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,1,4,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,1,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,5,8,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,5,8,1,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,6,1,2,8,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,8,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,5,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,7,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,8,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,8,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,1,2,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,8,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,1,2,8,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,1,2,7,3,8,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,7,2,8,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,7,2,3,8,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,8,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,7,5,3,6,2,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,2,3,6,7,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,8,3,4,6,7,1]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,2,3,6,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,1,5,7,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,2,3,1,7,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,6,7,4,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,2,7,1,4,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,8,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,3,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,7,5,1,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,1,8,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,3,7,8,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,2,7,4,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,2,7,6,8,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,3,1,8,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,7,8,1,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,6,4,2,8,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,3,7,8,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,8,2,5,7,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,4,7,2,5,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,3,8,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,4,1,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,7,6,4,1,8,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,1,7,6,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,1,4,7,8,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,5,1,7,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,2,1,6,3,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,7,8,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,3,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,4,2,6,3,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,2,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,3,2,4,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,1,8,3,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,1,6,2,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,8,5,7,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,1,7,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,1,7,5,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,1,8,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,2,7,6,1,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,8,6,1,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,8,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,8,1,7,3,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,2,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,5,8,4,7,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,7,2,8,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,3,1,7,8,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,1,6,7,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,2,1,7,8,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,2,1,6,7,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,4,5,7,2,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,3,7,4,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,6,3,7,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,5,7,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,3,6,7,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,7,3,6,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,2,8,3,6,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,3,8,4,7,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,3,7,1,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,2,7,3,1,8,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,3,7,1,2,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,8,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,8,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,2,7,3,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,8,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,1,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,7,8,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,7,8,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,1,6,3,8,7,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,7,8,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,7,8,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,7,3,8,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,7,8,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,4,3,2,8,7]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,1,3,5,2,4]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,5,7,3,4,2]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,5,7,6,2,3]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,2,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,5,2,8,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,7,4,2,5,6]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,7,5,2,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,6,4,8,3,5,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,7,1,4,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,1,3,2,8,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,1,3,8,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,7,6,3,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,5,6,3,8,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,5,6,1,8,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,5,6,3,8,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,1,7,6,2,8,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,6,7,1,4,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,1,6,3,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,5,6,3,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,2,5,7,1,4,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,4,5,3,8,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,5,7,1,4,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,4,3,2,6,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,6,2,4,7,3]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,6,2,4,7,3]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,1,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,7,8,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,6,2,8,1,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,6,1,2,8,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,8,6,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,5,2,1,6,7,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,6,8,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,3,2,7,8,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,4,2,7,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,7,8,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,8,4,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,8,6,3,4,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,4,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,8,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,8,4,3,7,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,1,5,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,3,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,6,2,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,8,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,3,4,6,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,2,1,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,6,3,4,7,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,2,1,6,5,7]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,2,5,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,2,6,3,1,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,5,8,3,6,1,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,3,5,2,4,7]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,1,2,6,4,3,7]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,1,3,4,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,6,1,3,2,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,4,5,2,8,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,3,6,1,8,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,4,3,7,8,5,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,1,8,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,7,8,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,1,5,4,8,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,5,1,7,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,5,6,8,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,6,5,8,2,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,5,2,4,6,8,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,1,7,4,2,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,8,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,5,7,8,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,7,1,8,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,8,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,8,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,3,4,6,1,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,3,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,4,8,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,1,6,8,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,3,1,8,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,3,1,5,7,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,1,2,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,4,6,1,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,5,2,7,6,1,3]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,4,1,2,5,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,3,5,2,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,3,6,8,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,3,2,7,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,6,7,5,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,7,6,1,8,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,4,5,7,8,3,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,5,1,6,2,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,3,6,8,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,6,1,3,7,8,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,7,1,4,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,6,8,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,8,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,4,2,1,6,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,5,1,8,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,2,5,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,5,8,2,3,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,4,5,8,3,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,2,4,6,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,5,8,2,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,1,4,8,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,6,1,4,8,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,8,4,7,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,4,3,6,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,5,8,2,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,1,5,7,3,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,4,8,1,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,3,8,6,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,3,7,1,2,6,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,5,8,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,4,2,6,7,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,8,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,6,8,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,6,8,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,2,6,8,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,2,3,6,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,1,6,3,5,8,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,7,3,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,5,3,6,8,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,2,7,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,3,2,4,6,7,5]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,1,2,4,6,8,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,4,7,2,5,6]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,3,8,7,2,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,7,4,8,2,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,6,8,2,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,8,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,8,2,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,2,7,5,6,4]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,7,2,8,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,7,3,8,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,7,3,6,2,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,2,8,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,8,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,7,8,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,2,8,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,7,8,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,4,8,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,7,5,3,6,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,3,6,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,6,3,5,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,2,4,3,8,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,2,4,1,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,2,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,2,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,4,5,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,4,2,3,8,7]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,7,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,1,2,3,5,4]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,6,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,4,7,1,6,2,5]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,1,8,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,2,7,1,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,5,3,4,1]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,7,3,6,4,5]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,8,2,4,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,1,8,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,7,4,3,8,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,2,7,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,7,1,8,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,5,4,8,3,6,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,1,2,6,4,3]=>[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,2,7,1,6,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,6,2,3,8,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,3,2,7,5,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,4,7,5,2,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,8,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,8,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,4,6,2,1,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,1,3,5,2,8,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,2,4,6,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,5,3,1,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,6,4,3,7,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,6,5,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,1,3,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,4,6,1,8,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,6,1,2,5,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,7,6,8,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,1,7,8,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,3,1,8,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,5,6,1,7,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,5,4,1,7,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,3,6,7,5,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,5,8,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,7,8,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,4,7,8,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,4,7,8,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,7,8,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,7,1,8,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,7,8,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,1,5,3,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,7,2,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,3,4,2,7,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,2,1,3,7,8,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,7,3,8,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,4,7,8,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,1,7,8,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,1,3,2,4,7]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,7,8,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,7,1,2,5,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,5,4,3,7]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,1,5,3,2,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,6,4,5,2,1,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,7,1,6,4,5]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,8,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,7,4,1,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,8,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,4,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,7,1,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,7,3,6,4,1]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,7,5,6,1,3]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,8,5,6,2,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,5,2,4,6,7,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,8,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,8,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,8,5,6,1,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,6,8,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,8,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,8,1,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,7,8,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,8,3,4,1,5,7,6]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,4,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,7,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,1,8,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,3,2,8,6,7,1]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,6,1,4,7,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,6,1,4,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,6,1,5,2,7,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,3,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,8,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,4,8,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,8,6,5,2,7,1]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,5,6,2,1]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,3,2,8,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,1,3,8,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,1,2,8,6,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,3,6,7,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,5,4,1,6,7,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,8,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,7,2,4,8,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,5,1,2,3,8,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,1,2,8,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,6,2,1,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,5,7,1,3,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,4,5,8,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,1,6,3,5,8,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,6,4,1,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,5,2,1,3,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,3,6,4,8,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,2,3,7,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,2,4,8,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,4,8,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,1,5,4,8,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,3,2,1,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,2,5,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,7,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,4,1,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,6,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,1,6,5,4,7]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,2,5,7,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,7,8,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,8,7,5,6,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,7,4,8,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,2,1,6,3,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,2,6,8,1,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,6,3,8,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,2,4,7,8,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,8,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,3,8,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,8,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,4,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,7,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,1,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,6,8,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,8,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,8,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,3,6,7,4,1]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,3,7,4,6,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,3,7,4,2,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,2,7,1,5,6,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,3,6,4,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,3,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,7,4,2,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,1,8,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,8,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,5,4,8,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,8,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,7,4,3,5,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,7,8,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,8,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,3,5,7,1,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,8,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,1,3,5,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,8,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,4,1,6,3,8,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,3,1,7,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,1,4,6,8,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,8,7,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,4,7,8,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,4,2,8,7,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,3,6,8,1,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,5,4,1,2,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,3,8,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,7,2,3,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,5,7,1,4,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,4,5,3,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,2,8,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,3,6,4,2,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,3,4,7,5,8,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,1,4,8,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,1,4,7,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,4,8,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,8,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,1,3,6,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,2,4,8,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,4,8,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,1,3,4,5,8,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,5,4,2,1,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,5,3,2,1,7]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,6,4,3,2,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,7,1,4,6,5,2]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,6,4,7,5,1]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,7,5,8,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,2,1,5,8,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[9,1,8,7,6,5,4,3,2]=>[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,8,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,9,8,7,6,5,4,2]=>[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,1,9,8,7,6,5,4,3,2]=>[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,8,1,7,6,5,4,3,2]=>[[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,1,8,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,9,1,6,5,4,3,2]=>[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,8,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,9,8,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,8,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,9,8,7,6,5,1,2]=>[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,9,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,6,4,8,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,5,6,2,4,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,8,5,6,2,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,8,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,5,6,1,4,3]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,5,4,7,3,6]=>[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,1,2,3,8,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,4,2,5,3,8,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,4,2,1,3,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,8,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,6,2,1,5,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,3,4,1,6,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,4,5,6,1,2]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,3,1,5,6,8]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,2,4,1,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,2,8,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,4,8,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,8,6,1,3,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,1,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,7,3,1,5,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,2,1,4,5,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,4,7,1,3,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,4,1,8,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,5,1,8,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,1,3,7,2,5]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,3,1,8,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,2,8,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,3,5,7,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,4,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,6,1,8,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,1,8,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,7,2,4,5,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,4,7,3,5,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,8,3,7,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,3,8,7,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,8,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,8,1,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,1,8,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,2,7,8,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,8,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,6,3,7,1,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,8,2,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,8,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,7,4,1,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,3,1,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,8,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,1,8,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,2,1,3,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,7,8,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,2,4,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,7,8,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,8,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,6,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,8,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,7,4,8,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,8,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,1,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,1,7,5,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,8,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,3,8,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,3,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,3,1,2,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,3,8,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,7,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,7,3,8,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,2,3,5,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,8,6,3,2,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,1,6,3,8,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,1,5,8,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,5,7,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,5,7,6,3,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,5,6,1,8,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,5,8,6,3,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,7,6,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,5,1,6,8,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,1,2,7,4,3]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,1,4,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,4,1,3,2,7,6]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,2,3,6,8,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,8,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,8,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,6,1,3,5,2,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,4,7,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,3,7,8,1,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,7,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,6,5,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,4,7,2,8,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,6,8,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,6,4,7,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,5,3,7,2,4]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,5,3,6,7,1,4]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,5,2,7,6,1,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,3,1,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,6,8,1,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,6,5,7,2,1,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,5,2,6,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,2,6,8,7,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,4,3,2,8,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,5,2,1,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,2,3,8,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,3,5,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,8,3,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,7,8,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,5,8,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,7,5,8,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,8,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,8,1,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,1,8,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,3,7,8,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,6,2,1,4,5,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,5,1,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,2,5,1,3,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,7,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,8,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,7,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,7,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,2,8,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,8,1,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,8,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,6,1,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,8,4,3,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,8,2,5,6,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,2,7,1,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,2,6,1,3,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,8,3,7,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,8,3,7,2,4,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,4,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,5,4,8,3,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,3,8,1,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,4,2,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,1,5,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,4,1,5,6,7]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,8,1,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,5,2,7,1,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,2,6,1,3,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,4,8,5,3,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,4,1,5,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,3,1,5,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,5,6,2,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,3,8,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,3,8,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,6,7,5,1]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,4,1,6,7,5,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,5,2,8,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,2,8,1,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,7,5,3,8,4,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,8,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,6,7,5,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,4,2,1,6,7,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,3,8,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,4,8,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,5,8,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,4,8,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,8,1,2,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,3,4,8,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,4,8,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,8,2,1,5,7,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,8,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,8,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,1,5,7,6,2]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,7,6,1,4,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,4,8,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,8,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,4,8,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,4,8,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,5,8,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,4,8,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,8,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,3,4,8,2,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,6,5,8,2,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,3,4,7,2,6,5]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,4,8,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,8,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,4,7,5,6,1]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,4,7,6,2,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,3,6,5,4,1]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,7,5,2,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,6,7,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,4,6,5,7]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,1,7,4,3,6,5]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,1,5,7,2,6,4]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,1,7,2,6,3]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,8,7,4,2,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,5,7,6,3,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,5,7,6,2,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,5,7,3,6,1]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,6,5,7,2,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,2,8,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,8,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,6,7,3,5,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,7,5,4,6,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,7,5,6,2,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,6,7,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,8,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,8,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,3,2,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,2,6,1,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,4,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,4,5,6,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,5,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,4,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,8,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,8,5,1,6,7,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,1,4,6,7,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,2,6,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,8,1,4,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,8,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,2,8,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,7,5,8,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,1,8,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,8,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,7,8,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,7,8,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,5,6,8,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,8,4,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,4,8,6,5,3,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,1,8,6,5,3,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,1,8,6,5,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,7,8,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,7,8,5,1,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,3,8,5,1,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,8,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,2,8,7,5,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,2,8,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,8,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,8,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,8,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,6,5,8,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,7,1,8,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,8,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,5,8,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,3,8,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,8,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,5,8,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,1,8,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,5,3,2,4,8]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,5,3,2,4,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,7,4,2,5,3,6]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,2,5,3,6,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,6,4,2,5,3,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,4,7,1,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,3,6,4,2,8]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,1,6,4,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,4,2,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,8,7,4,2,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,2,8,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,6,1,8,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,3,8,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,5,4,6,1,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,8,7,5,4,6]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,4,2,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,1,8,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,5,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,6,3,5,7,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,7,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,6,4,7,5,1,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,6,3,7,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,7,4,1,8,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,6,3,7,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,7,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,7,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,6,3,2,4,7,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,2,4,7,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,1,8,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,8,7,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,8,7,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,5,1,3,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,8,6,3,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,4,2,5,8,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,1,7,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,2,5,3,1,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,1,8,7,4,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,7,5,3,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,6,4,1,3,7,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,8,6,3,2,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,2,8,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,1,8,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,6,3,1,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,5,2,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,5,2,7,4,6,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,7,4,6,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,3,1,8,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,7,4,8,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,1,5,7,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,7,5,8,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,7,5,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,8,5,2,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,2,1,7,4,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,6,3,8,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,8,5,7,3,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,5,7,8,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,7,4,8,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,8,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,3,1,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,8,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,4,8,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,4,8,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,8,1,2,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,8,1,2,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,4,2,3,7,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,8,1,2,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,8,1,2,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,3,8,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,8,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,8,7,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,8,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,4,1,7,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,7,4,2,6,3,5]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,8,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,8,6,1,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,8,5,6,1,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,5,6,2,3,4]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,5,7,1,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,8,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,8,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,8,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,2,7,6,4,5]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,7,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,7,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,7,8,1,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,7,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,7,6,1,3,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,5,8,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,8,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,7,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,7,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,6,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,4,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,8,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,4,1,3,5,6]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,7,1,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,6,1,3,2,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,7,6,8,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,8,7,1,4,5,3,6]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,8,7,3,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,3,2,8,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,1,8,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,3,5,4,1,6]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,4,8,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,2,8,7,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,8,6,1,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,8,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,2,3,6,7,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,2,1,8,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,6,1,7,3,5,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,3,5,8,2,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,1,6,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,5,8,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,6,4,7,2,3]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,4,1,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,6,8,2,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,8,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,6,5,4,8,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,6,1,8,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,2,3,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,1,8,4,6,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,6,7,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,3,6,8,1,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,6,1,5,3,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,1,6,3,2,5,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,3,8,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,4,8,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,6,3,2,8,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,2,7,4,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,4,5,2,8,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,8,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,4,6,7,5,3]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,3,6,7,5,4,2]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,3,8,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,1,3,7,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,7,5,1,8,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,2,8,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,7,6,1,3,2]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,4,2,3,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,4,6,1,7,5,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,4,6,5,2,8,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,7,6,1,5,8,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,1,4,5,7,6,2]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,6,8,4,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,5,7,3,8,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,6,5,8,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,5,1,6,7,4]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,8,3,7,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,6,4,7,3,2]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,1,6,4,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,8,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,4,2,1,6,5]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,8,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,8,4,1,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,1,8,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,7,3,4,6,5,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,8,2,5,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,3,1,6,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,3,2,4,8,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,2,3,6,1,5]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,5,2,8,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,2,5,4,1,3,6]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,2,5,3,1,4,6]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,8,7,1,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,7,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,2,8,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,4,1,7,2,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,4,3,5,1,8,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,7,2,3,8,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,5,1,7,6,4]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,1,4,8,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,2,7,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,1,6,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,4,3,8,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,7,4,3,8,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,1,7,4,8,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,8,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,7,5,1,6,4,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,7,3,2,8,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,1,6,3,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,1,5,3,8,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,1,6,2,8,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,2,8,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,3,8,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,3,2,8,4,7]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,2,8,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,2,8,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,3,4,2,8,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,3,7,4,2,6]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,1,5,2,7,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,3,7,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,5,6,1,7,3,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,1,3,8,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,1,5,2,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,8,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,2,7,1,3,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,3,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,1,5,8,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,1,5,8,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,6,4,8,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,7,3,8,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,3,7,4,2,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,8,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,1,7,4,8,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,8,4,5,2,7,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,4,5,2,8,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,7,1,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,7,3,1,6,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,2,8,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,1,7,2,6,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,7,2,8,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,7,2,1,5,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,1,3,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,5,7,8,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,1,5,8,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,7,4,8,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,4,8,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,2,7,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,1,3,7,6,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,1,4,3,8,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,1,5,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,7,1,4,8,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,4,2,1,8,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,3,1,8,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,1,4,2,8,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,1,3,8,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,7,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,8,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,2,8,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,4,8,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,6,4,8,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,5,3,8,1,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,3,6,4,2,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,2,3,7,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,2,7,5,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,2,7,1,6,4,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,1,5,4,3,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,7,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,5,6,1,4,3,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,6,8,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,4,8,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,8,1,4,2,7,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,4,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,2,1,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,1,4,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,2,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,8,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,4,8,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,4,1,8,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,1,8,4,2,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,7,3,6,2,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,8,3,1,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,8,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,8,6,4,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,4,7,5,2,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,7,3,5,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,6,2,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,4,7,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,1,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,1,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,2,1,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,1,6,3,5,4]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,6,1,5,4,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,7,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,8,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,3,2,1,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,3,6,4,2,1,5]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,2,5,3,7,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,5,4,2,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,1,3,5,4,2,7,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,5,4,7,3,8]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,3,4,7,8,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,6,3,4,7,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,5,8,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,1,5,3,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,6,7,4,8,1,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,7,4,8,5,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,6,5,3,1,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,4,7,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,5,2,1,8,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,2,4,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,2,1,3,6,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,1,5,4,7,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,1,4,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,2,6,3,8,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,4,1,2,3,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,2,5,3,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,3,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,5,2,8,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,5,1,2,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,6,1,3,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,1,6,8,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,5,8,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,1,2,3,4,5,6,8,7]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,1,2,3,4,5,6,7,9,8]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,1,2,3,4,5,7,8,6]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,9,7,8,1]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,7,8,10,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,2,1,8,7,6,5,4,3]=>[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,10,9,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,9,2,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,2,8,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,6,1,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[9,2,8,1,7,6,5,4,3]=>[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,4,1,7,6,5,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,2,3,8,1,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,2,7,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,7,3,8,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,4,5,8,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,1,5,2,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,4,6,1,5,2,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,4,7,5,8,1,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,7,8,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,7,4,8,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,6,4,1,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,4,8,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,5,4,1,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,3,1,7,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,2,8,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,7,5,8,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,4,1,3,8,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,8,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,7,6,5,8,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,7,5,8,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,4,1,3,7,6,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,3,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,4,2,3,6,5]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,2,3,5,6,4]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,1,6,7,5,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,1,5,7,6,4]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,4,1,2,7,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,7,2,3,6,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,2,1,8,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,4,1,8,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,3,2,7,8,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,5,1,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,6,7,1,3,4]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,5,4,7,6,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,5,8,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,2,3,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,5,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,7,3,8,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,7,2,5,6,3]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,6,1,5,8,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,5,7,1,6,2]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,8,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,6,2,4,5,1,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,5,8,1,4,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,8,6,1,4,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,3,8,6,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,1,2,8,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,7,4,6,8,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,1,4,5,8,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,3,8,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,1,8,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,8,2,7,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,7,1,4,8,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,8,7,4,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,7,8,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,7,8,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,3,7,5,6,1]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,4,8,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,8,7,2,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,8,7,2,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,8,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,8,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,8,3,7,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,3,7,5,6,2]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,3,7,4,6,1]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,8,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,8,7,2,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,8,6,7,2,1]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,7,8,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,6,4,7,3,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,6,4,7,3,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,5,8,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,8,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,8,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,6,4,7,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,6,5,7,3,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,6,7,4,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,7,5,4,6,1]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,7,4,5,6,3]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,6,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,8,4,6,7,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,5,6,7,3,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,8,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,7,2,5,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,8,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,3,5,7,4,6,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,8,4,5,6,3,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,5,8,4,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,6,8,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,8,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,4,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,7,1,3,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,1,3,8,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,6,1,7,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,2,5,8,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,4,1,2,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,1,3,4,8,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,2,4,8,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,3,7,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,3,8,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,3,8,1,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,5,2,8,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,3,7,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,2,7,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,4,7,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,2,7,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,6,1,2,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,8,1,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,8,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,8,1,2,4,7,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,1,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,4,8,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,3,8,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,1,2,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,8,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,8,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,1,6,2,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,5,2,3,4,8]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,3,7,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,1,2,4,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,1,2,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,4,1,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,2,6,5,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,4,7,2,5,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,1,6,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,7,5,4,3,8]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,6,4,8,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,1,5,7,4,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,7,4,1,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,8,7,5,6,1,2]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,7,4,1,5,6]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,3,8,6,4,1,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,7,6,4,5,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,1,4,6,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,5,2,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,1,4,5,7,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,4,6,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,4,7,6,8,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,1,2,6,3,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,6,7,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,7,8,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,7,6,5,3,4]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,6,8,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,4,5,7,6,2]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,8,5,4,7,1,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,1,5,3,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,5,7,6,1,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,6,3,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,8,6,5,2,7,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,6,1,7,4,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,8,1,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,5,2,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,8,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,1,7,4,6,5,3]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,1,6,4,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,3,4,6,7,2,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,8,7,5,2,6]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,4,1,7,3,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,4,2,3,7,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,1,4,2,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,8,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,4,7,8,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,4,3,8,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,3,8,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,2,3,1,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,2,1,3,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,4,1,8,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,1,3,8,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,3,4,2,6,5]=>[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,3,6,2,8,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,6,4,5,2,1,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,6,5,2,1,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,3,7,5,8,1,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,3,6,2,8,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,4,2,6,7,5]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,1,3,7,2,8,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,3,6,2,7,5]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,3,8,5,7,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,7,3,4,1,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,2,6,4,3,1,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,8,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,3,5,8,7,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,5,4,7,1,6]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,8,3,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,4,2,3,7,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,4,5,6,2,1,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,3,5,7,8,1,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,5,4,2,1,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,4,2,8,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,5,3,2,6,8]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,2,6,5,3,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,1,5,7,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,2,5,7,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,6,5,3,8]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,4,1,6,5,2,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,6,4,5,8,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,5,4,8,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,7,5,3,6,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,7,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,4,8,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,7,4,8,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,4,8,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,3,7,4,8,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,4,5,1,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,8,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,3,8,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,4,1,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,1,7,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,4,5,2,6,3]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,1,5,2,8,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,8,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,1,5,4,2,6]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,2,1,5,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,2,6,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,6,5,1,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,1,7,4,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,7,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,5,4,8,1,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,1,8,4,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,3,1,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,7,1,5,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,3,8,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,5,8,4,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,2,6,7,1,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,8,1,5,7,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,3,1,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,7,2,6,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,2,1,6,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,7,4,6,8,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,8,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,7,1,8,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,3,8,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,6,4,8,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,5,4,8,7,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,8,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,3,8,7,1,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,1,8,6,2,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,4,2,1,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,5,2,7,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,8,7,5,4,1,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,6,5,4,3,1,7]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,2,6,3,1,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,6,5,2,8,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,3,4,8,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,3,1,4,2,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,5,3,8,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,6,4,2,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,8,7,4,3,5,6]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,4,2,1,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,5,2,6,1,7,3,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,2,6,8,3,7,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,2,8,1,4,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,4,5,1,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,8,1,5,2,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,5,3,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,4,3,5,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[10,1,2,3,5,4,6,7,8,9]=>[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[5,8,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,5,2,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,9,6,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,8,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,9,8,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,8,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,9,8,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,8,7,6,2,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,9,8,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,8,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,9,8,7,6,5,2,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,8,7,6,5,2,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[9,7,10,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[9,7,10,5,8,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[9,7,10,5,8,3,6,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[7,5,8,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,4,7,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,2,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,6,1,2,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,6,1,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,6,1,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,6,1,2,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,6,2,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,4,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,6,4,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,6,4,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,6,2,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,6,1,2,8,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,6,1,4,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,6,4,1,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,7,2,6,1,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,6,1,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,6,4,1,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,4,1,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,4,1,8,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,1,4,8,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,1,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,2,6,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,1,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,1,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,1,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,1,6,2,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,7,1,4,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,4,6,2,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,4,2,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,1,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,1,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,4,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,4,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,2,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,1,2,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,1,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,1,2,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,2,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,2,7,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,4,7,1,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,2,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,1,2,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,6,3,1,8,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,3,1,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,7,4,1,2,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,2,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,4,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,1,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,1,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,1,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,1,4,2,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,2,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,5,1,8,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,5,1,8,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,2,1,8,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,5,8,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,4,5,6,7,9,2,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,7,1,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,4,5,6,7,8,2,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,8,3,4,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,4,1,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,6,8,1,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,6,4,1,8,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,4,1,8,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,1,7,6,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,7,6,1,5,4,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,7,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,8,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,8,1,6,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,8,1,7,3,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,6,5,1,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,2,6,8,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,5,6,1,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,8,6,7,1,5,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,8,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,7,1,5,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,2,5,6,1,4]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,8,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,7,5,1,3,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,2,8,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,4,1,8,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,8,5,7,1,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,7,1,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,8,7,4,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,6,3,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,4,1,6,2,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,4,1,5,2,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,7,6,8,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,8,2,3,7,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,8,5,3,4,7,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,6,8,7,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,4,8,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,7,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,2,7,3,5,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,1,8,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,8,7,3,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,4,2,1,3,6,5]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,1,3,2,5,6,4]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,2,6,8,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,3,8,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,7,2,1,5,6,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,3,2,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,1,6,7,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,5,7,4,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,3,4,1,5,6]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,3,5,8,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,6,7,1,4,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,7,8,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,8,5,1,4,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,2,8,6,5,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,1,6,8,7,2,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,6,2,1,3,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,8,7,4,1,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,5,2,6,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,4,5,1,8,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,4,2,5,8,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,2,5,1,6,3]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,5,2,6,7,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,8,6,7,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,2,1,3,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,1,5,6,7,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,6,5,1,7,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,2,4,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,7,2,4,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,2,4,6,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,3,2,4,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,3,2,4,7,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,3,2,7,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,7,3,2,1,4,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,2,4,1,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,5,4,1,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,2,4,7,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,3,2,7,4,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,1,3,2,5,4,6,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,2,5,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,1,3,5,2,4,6,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,7,2,4,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,7,5,1,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,1,2,4,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,3,1,2,4,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,3,2,7,4,1,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,4,7,1,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,1,4,7,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,2,1,7,4,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,7,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,7,2,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,3,1,2,5,4,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,1,2,7,4,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,2,4,7,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,5,1,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,1,5,2,4,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,7,5,2,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,5,1,3,2,4,6,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,3,2,4,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,1,5,2,4,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,1,2,5,4,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,1,5,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,1,7,5,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,7,5,4,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,2,5,4,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,5,2,4,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,3,2,4,6,8]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,3,2,4,6,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,3,4,5,7,9,6,8]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[2,9,8,7,1,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,9,2,8,7,6,5,4,3]=>[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,9,8,7,6,5,2,1,4]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,8,7,4,2,6,5,3]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,10,9,8,7,1,6,5,4,3]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,8,5,1,7,6,4,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,9,7,6,5,4,3]=>[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,10,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,10,9,8,7,6,5,2,1,4]=>[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,9,8,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,8,1,4,7,6,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,2,7,6,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,6,3,4,1,5,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,2,3,6,8,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,6,4,8,2,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,4,8,2,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,4,8,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,1,6,4,8,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,5,4,8,1,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,4,8,6,1,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,1,4,8,7,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,2,8,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,4,8,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,4,8,1,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,4,8,7,2,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,1,8,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,5,8,7,2,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,3,8,5,2,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,4,5,8,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,4,5,3,8,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,3,5,4,8,2]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,5,8,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,4,2,8,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,8,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,3,8,1,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,3,8,5,7,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,1,5,8,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,6,3,8,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,6,5,1,4,8,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,6,5,3,8,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,1,4,8,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,5,4,8,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,4,5,8,1,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,6,4,8,3,7,2]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,6,4,8,3,1,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,1,4,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,3,4,5,8,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,4,8,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,5,3,4,8,2]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,1,5,4,3,8,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,4,5,8,3,2,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,8,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,6,8,7,2,1,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,8,2,1,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,5,3,7,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,6,8,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,1,7,2,8,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,7,1,8,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,6,1,2,7,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,4,2,6,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,1,4,2,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,1,3,7,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,1,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,4,2,3,6,7,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,1,7,2,5,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,3,2,6,7,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,4,5,1,8,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,4,8,6,3,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,8,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,4,7,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,6,8,2,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,8,1,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,6,7,3,1,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,6,4,5,1,3,8,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,5,3,4,8,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,2,3,8,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,8,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,3,5,8,6,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,3,7,1,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,8,3,1,4,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,3,6,5,7,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,1,3,6,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,4,3,6,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,3,7,6,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,3,8,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,5,3,7,1,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,3,6,2,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,6,5,1,7,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,5,7,2,1,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,7,6,8,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,2,5,8,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,4,6,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,1,6,8,3,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,6,5,7,4]=>[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,3,5,7,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,6,5,7,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,7,2,6,5,8,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,4,2,5,8,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,3,8,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,4,8,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,8,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,7,3,1,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,8,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,7,6,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,3,7,8,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,7,8,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,5,7,8,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,7,5,8,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,4,7,8,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,7,8,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,8,3,6,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,6,1,7,2,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,1,7,6,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,8,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,8,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,8,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,8,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,4,8,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,3,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,1,7,2,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,8,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,1,4,2,5,8]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,4,3,7,8,2,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,4,2,5,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,7,8,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,3,1,7,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,8,7,6,3,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,6,3,1,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,1,7,5,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,8,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,1,7,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,7,6,3,1,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,1,8,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,1,8,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,2,7,6,4,3,5]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,5,7,6,4,2,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,5,7,6,3,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,4,8,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,2,4,6,3,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,4,6,3,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,8,6,3,7,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,6,4,7,5,2,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,7,5,3,6,4]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,1,8,3,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,6,3,1,8,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,7,4,1,8,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,1,5,2,6,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,5,2,8,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,1,4,2,8,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,8,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,2,6,3,1,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,1,3,6,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,2,1,3,6,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,1,3,8,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,7,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,8,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,5,2,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,4,7,5,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,4,8,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,1,4,7,5,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,7,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,5,7,6,4,3]=>[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,6,4,7,5,3]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,1,6,4,8,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,4,1,5,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,6,3,5,2,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,8,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,3,1,7,5,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,5,2,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,5,2,7,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,2,8,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,2,7,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,7,2,6,3,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,4,7,3,5,2,6,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,4,2,6,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,6,3,5,7,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,5,8,1,6,7,3]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,7,4,2,5,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,8,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,1,5,4,7,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,7,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,2,8,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,8,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,3,8,1,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,8,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,2,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,6,8,3,1,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,6,5,3,1,7,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,3,1,7,2,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,6,2,3,7,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,3,4,2,8,5,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,3,5,7,6,2]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,1,3,7,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,3,6,8,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,1,3,6,5,4,2]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,7,4,2,6,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,3,8,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,4,7,2,6,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,8,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,8,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,7,3,5,6,2]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,6,3,5,4,2]=>[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,8,5,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,6,8,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,5,6,4,2,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,6,4,5,3,1]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,6,5,3,4,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,2,5,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,8,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,8,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,8,4,2,7,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,3,8,1,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,7,1,2,8,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,8,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,1,2,8,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,7,1,2,8,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,5,4,3,2,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,6,7,3,5,2]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,1,3,6,8,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,4,8,1,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,5,4,2,1,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,7,4,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,4,8,2,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,7,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,4,6,5,3,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,2,6,4,5,3]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,2,5,4,6,1,3]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,2,1,5,6,4]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,8,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,1,4,5,3,2]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,2,3,7,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,6,5,4,7]=>[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,4,7,2,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,4,6,2,3,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,4,6,1,2,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,1,6,4,2,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,4,6,1,3,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,4,6,3,1,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,6,3,2,7]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,4,7,3,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,2,7,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,1,6,2,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,1,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,1,7,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,8,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,3,7,8,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,4,8,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,3,8,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,2,7,8,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,4,3,7,1,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,1,7,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,4,8,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,1,8,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,4,1,6,8,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,3,8,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,1,5,6,8,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,8,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,8,5,6,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,4,8,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,8,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,3,5,8,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,5,6,8,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,8,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,8,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,6,5,8,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,5,8,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,5,8,4,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,1,6,5,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,8,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,4,8,3,7,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,4,8,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,6,4,8,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,5,8,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,5,8,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,4,8,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,4,8,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,8,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,2,6,1,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,5,2,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,6,2,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,6,3,7,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,6,3,7,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,5,2,3,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,8,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,8,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,4,1,6,5,8,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,4,1,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,7,6,3,5,1]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,2,7,5,8,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,2,6,8,3,7,1]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,2,5,7,6,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,3,4,7,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,7,6,2,5,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,5,2,6,7,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,3,5,1,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,3,7,6,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,4,2,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,2,5,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,4,5,3,7,6]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[10,1,3,2,5,4,7,6,9,8]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[12,1,3,2,5,4,7,6,9,8,11,10]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[6,5,3,8,4,2,7,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,1,6,2,8,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,3,5,6,2,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,6,8,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,1,5,7,4,2]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,7,5,8,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,4,7,8,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,6,7,8,1,5,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,1,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,3,8,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,8,3,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,7,6,1,8,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,8,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,2,1,8,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,3,7,5,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,4,2,3,6,7,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,5,3,2,1,7,6]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,3,4,2,1,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,8,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,4,7,1,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,3,8,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,3,2,1,8,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,3,7,2,1,5,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,5,8,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,8,4,6,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,7,4,6,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,2,7,3,6,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,8,3,6,7,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,3,4,8,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,4,8,7,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,8,3,6,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,7,3,6,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,8,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,8,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,2,3,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,3,5,8,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,8,7,5,6,2,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,7,4,6,5,3]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,2,3,5,8,4]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,3,5,7,4]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,3,5,6,4]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,2,4,5,3,6]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,2,3,4,6,5]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,3,4,7,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,3,5,4,7]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,2,4,5,3,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,7,4,6,3,5,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,5,8,7,3,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,3,5,7,2,6,4]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,4,6,8,5,7,1]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,5,7,4,8,6,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,6,3,7,8,5,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,7,1,8,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,5,1,3,7,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,7,1,8,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,3,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,2,6,7,1,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,1,8,5,6,3,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,7,8,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,6,7,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,1,6,7,3,8,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,1,7,5,3,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,1,7,4,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,8,7,1,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,6,8,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,2,6,8,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,3,1,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,2,3,5,8,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,6,7,8,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,4,8,5,6,2,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,9,1,2,3,4,5,10]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,8,1,2,3,4,5,9]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,7,8,9,1,2,3,4,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,6,7,1,8,2,3,4,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,6,2,3,5,1,4,7]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,5,7,3,1,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,3,8,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,3,7,5,4,1,6]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,6,3,5,4,1,7]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,5,2,4,3,7]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,2,4,1,5,3,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,1,6,5,3,2,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,6,1,5,4,2,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,6,5,4,1,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,5,7,4,1,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,7,5,4,2,6]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,7,4,1,5,3,6]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,3,8,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,8,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,1,5,7,6,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,8,7,6,4,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,8,2,7,6,5,1]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,7,1,6,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,3,5,7,6,4,2]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,8,5,7,6,3,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,7,1,4,5,6,3]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,7,3,4,6,2,5]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,1,7,2,6,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,4,7,6,5,1]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,3,7,4,6,5,1]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,3,7,1,6,5,4]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,1,3,6,5,4]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,2,6,4,3,5]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,5,2,4,3,6]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,7,4,6,1,5]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,8,5,7,6,3,1]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,3,7,6,1,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,3,5,1,4,6]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,7,4,3,1,5,6]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,7,3,1,5,6,4]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,1,5,7,6,4,3]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,1,8,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,8,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,3,5,2,6,4]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,5,2,7,6,4,3]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,2,4,6,5,3]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,1,7,6,5,3]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,8,3,7,6,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,3,7,6,2,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,5,4,1,7,6,3]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,4,8,7,6,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,3,7,6,5,2]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,3,7,6,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,1,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,3,2,1,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,3,2,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,7,2,4,3,1,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,3,2,8,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,1,3,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,1,3,2,4,6,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,1,2,5,4,8,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,2,5,7,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,4,2,3,5,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,8,2,3,7,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,8,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,5,8,2,3,1,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,1,2,6,8,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,1,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,4,2,1,8,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,2,8,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,4,3,6,8,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,6,5,2,3,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,5,1,3,8,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,2,1,8,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,2,1,8,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,3,2,8,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,2,1,7,3,6,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,8,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,8,5,3,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,1,6,5,2,8]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,2,6,1,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,1,5,2,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,2,5,8,4,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,5,8,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,2,8,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,8,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,5,8,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,6,1,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,2,6,3,5,4,8]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,6,3,4,5,1,8]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,2,5,7,8,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,7,8,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,1,2,6,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,1,5,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,5,6,4,2,7,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,4,7,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,5,8,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,1,3,8,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,1,4,7,8,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,7,3,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,8,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,8,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,8,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,6,4,1,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,6,1,5,7,3,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,3,5,8,7,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,3,1,6,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,1,5,4,8,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,2,8,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,5,1,4,8,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,6,5,1,2,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,3,8,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,6,7,5,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,2,5,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,6,4,7,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,6,3,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,2,3,1,5,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,2,3,8,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,3,8,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,1,7,6,3,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,5,2,3,4,6]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,3,1,4,2,5,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,1,6,2,8,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,6,1,7,2,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,7,8,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,2,3,4,5,6,7,1,9]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,2,3,1,5,6,7,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,4,3,5,6,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,4,5,3,6,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,4,3,5,6,7,8,9,10]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,2,4,6,8,5,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,7,5,8,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,3,8,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,4,6,5,1,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,8,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,6,5,8,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,7,2,6,1,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,7,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,6,5,8,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,8,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,3,8,2,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,5,4,1,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,2,5,8,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,8,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,4,1,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,4,8,7,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,4,5,1,8,6,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,5,1,7,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,4,1,3,8,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,5,3,8,2,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,2,4,3,6,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,4,8,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,3,1,6,7,2,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,2,6,5,7,1]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,2,4,8,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,3,2,6,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,4,6,8,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,5,8,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,6,8,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,8,3,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,6,3,4,7,1]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,3,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,3,5,4,7,2]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,5,8,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,8,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,8,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,7,4,8,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,1,8,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,1,8,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,3,5,8,1,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,6,8,1,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,2,8,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,8,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,7,6,8,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,6,8,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,5,7,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,7,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,6,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,8,1,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,7,6,5,1,8,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,5,8,3,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,8,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,4,6,3,1,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,4,8,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,7,5,3,2,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,4,8,1,5,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,5,4,8,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,5,3,8,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,8,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,5,8,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,8,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,3,7,1,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,5,2,1,8,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,1,8,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,8,7,4,3,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,2,4,6,1,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,3,2,4,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,2,7,6,3,5,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,6,3,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,4,2,3,5,6]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,3,8,7,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,8,3,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,5,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,8,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,5,1,7,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,1,3,5,8,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,7,1,4,5,6]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,7,1,4,5,6]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,2,7,4,3,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,2,7,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,8,5,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,6,5,1,2,7,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,5,1,2,3,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,7,6,8,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,6,5,1,2,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,6,7,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,2,6,1,8,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,6,1,3,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,6,1,4,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,5,6,1,4,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,6,5,1,3,8,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,4,5,2,8,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,2,1,3,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,2,5,4,3,8,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,7,3,4,8,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,8,7,5,6,2,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,3,8,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,7,4,6,8,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,4,6,8,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,2,7,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,6,1,2,3,8,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,2,7,3,5,4]=>[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,6,2,3,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,3,5,7,6,4]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,1,7,6,2,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,1,3,6,7,5,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,8,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,5,6,7,8,9,10,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,2,1,3,4,5,6,7,9]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[3,2,4,5,6,7,8,1,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,2,1,3,4,5,6,7,8,10]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[8,2,3,1,4,5,6,7,9]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,2,3,5,6,7,8,1,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,8,4,3,1,6,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,10,4,9,3,8,2,7,6,1]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,4,3,10,2,9,8,1]=>[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,4,10,3,9,8,7,2,1]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,10,4,9,8,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,3,7,2,5,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,3,2,6,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,2,6,3,4,8,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,4,6,2,8,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,7,5,3,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,7,2,8,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,7,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,5,3,8,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,8,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,1,6,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,4,3,5,1,7]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,4,2,8,6,3,7,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,5,3,1,4,6]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,3,1,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,8,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,3,2,4,1,8,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,7,8,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,1,6,5,7,4,2]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,3,2,6,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,1,4,6,7,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,6,4,3,7,2]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,3,7,8,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,7,5,8,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,1,6,5,7,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,6,7,1,2,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,2,8,4,7,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,1,4,6,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,7,5,4,6,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,4,1,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,2,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,5,2,3,7,1,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,2,8,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,5,2,3,8,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,5,2,8,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,1,3,6,4,8,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,3,7,8,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,3,1,5,8,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,1,5,7,6,3]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,4,2,5,7,6,3]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,4,1,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,3,7,1,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,2,4,7,6,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,4,1,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,1,8,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,5,1,7,6,3]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,2,7,6,1,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,6,8,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,4,5,7,6,3]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,3,5,7,6,4]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,5,7,6,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,8,1,5,7,6,4]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,8,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,8,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,8,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,3,8,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,1,5,7,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,2,5,7,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,4,5,7,6,3]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,2,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,6,8,7,5,1,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,4,5,1,6,2,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,5,7,2,3,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,7,6,3,2,5]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,6,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,8,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,6,1,5,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,3,1,2,5,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,1,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,6,5,3,8,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,1,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,1,5,3,7,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,8,1,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,5,6,2,3,4]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,8,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,6,2,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,7,6,8,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,5,8,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,6,5,8,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,6,8,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,2,7,8,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,3,8,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,2,4,6,8,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,4,2,5,7,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,7,8,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,6,8,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,6,2,5,7,3,4]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,5,7,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,8,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,1,2,8,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,1,2,7,6,4,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,6,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,2,3,4,5,6,7,8,1,10]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[7,8,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,8,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,6,1,4,2,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,2,4,6,3,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,2,8,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,4,1,7,2,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,3,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,3,8,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,7,8,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,4,1,6,8,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,7,6,8,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,8,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,3,5,4,2,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,2,4,6,1,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,8,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,8,6,3,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,2,5,3,7,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,4,5,2,6,7,1]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,6,5,3,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,8,6,4,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,2,7,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,3,4,8,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,4,2,8,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,1,3,2,4,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,1,3,7,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,7,2,1,8,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,2,1,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,3,1,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,4,2,5,1,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,4,7,5,2,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,7,5,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,5,3,6,1,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,7,3,4,1,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,5,8,6,4,7,1]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,3,8,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,2,7,5,8,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,5,4,7,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,7,2,3,1,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,8,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,7,4,1,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,7,5,3,8,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,4,7,1,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,5,1,4,2,8,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,7,1,3,2,8,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,4,7,5,3,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,3,1,5,6,2]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,4,3,5,6,2]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,4,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,1,2,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,7,4,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,2,3,1,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,8,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,1,8,7,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,7,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,7,5,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,8,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,4,1,5,6,3]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,2,1,5,7,4,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,6,7,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,7,5,8,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,1,8,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,5,7,3,8,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,4,5,8,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,5,3,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,8,3,7,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,8,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,7,2,6,8,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,2,3,4,5,6,7,10,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,7,2,3,4,5,6,9,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,3,8,5,2,7,4,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,6,7,2,4,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,7,6,1,4,5]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,8,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,7,6,2,4,5]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,6,8,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,6,7,8,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,8,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,8,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,6,8,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,3,8,1,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,4,1,7,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,7,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,8,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,5,2,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,7,4,5,3,6]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,4,6,1,3,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,7,4,5,3,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,3,1,5,4,6]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,4,8,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,3,7,5,6,4,2]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,3,8,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,5,7,8,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,7,4,2,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,4,1,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,8,4,2,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,3,4,2,7,1,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,8,2,5,6,7,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,6,7,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,3,8,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,4,8,1,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,4,6,1,5,3]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,6,7,8,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,6,7,8,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,6,8,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,3,2,8,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,8,6,7,2,3,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,6,3,1,2,7]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,6,2,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,8,2,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,4,7,8,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,6,4,8,2,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,4,6,2,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,6,3,7,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,7,3,5,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,5,7,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,6,2,7,3,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,6,1,5,2,8,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,6,2,8,3,7,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,6,1,7,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,6,3,8,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,3,7,1,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,2,8,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,5,2,8,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,3,2,6,7]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,1,5,2,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,4,3,8,1,6,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,4,3,1,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,4,2,7,1,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,4,1,2,6,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,1,2,7,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,3,5,2,7,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,1,8,6,3,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,7,2,5,6,4,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,4,2,1,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,2,4,1,6,5,8]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,2,1,6,4,5,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,1,7,4,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,4,6,1,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,4,1,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,6,1,3,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,5,6,3,2,4,8]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,2,5,4,6,3,8]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,6,5,3,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,7,5,6,3,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,6,5,4,3,8]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,1,5,6,3,7,4]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,8,5,1,6,4,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,5,3,2,7,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,5,4,2,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,4,6,5,2,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,6,3,7,5,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,2,8,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,8,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,8,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,5,7,2,6,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,5,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,4,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,3,1,4,8,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,3,2,8,6,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,3,4,2,8,6,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,1,4,3,8,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,3,8,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,2,8,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,2,8,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,2,4,8,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,1,2,8,6,7]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,1,2,8,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,4,1,8,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,4,6,8,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,3,4,5,7,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,8,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,3,7,4,1,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,4,1,2,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,6,8,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,8,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,7,5,1,2,4,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,1,8,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,1,8,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,8,3,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,6,7,3,2,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,8,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,1,3,5,6,2,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,7,8,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,7,8,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,4,3,1,7,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,2,3,1,8,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,4,6,7,1,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,6,5,8,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,2,6,4,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,2,5,3,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,6,4,8,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,2,5,3,8,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,4,3,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,5,4,8,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,2,6,3,7,5,4]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,6,4,7,5,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,6,4,8,5,3]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,2,6,3,8,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,7,4,8,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,8,5,7,6,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,3,2,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,8,4,7,6,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,7,3,6,5,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,8,1,5,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,4,2,6,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,7,3,5,2,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,1,2,6,4,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,3,1,5,4,2,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,4,1,5,3,2,7]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,4,1,3,2,7]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,7,4,6,1,5]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,5,7,4,1,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,5,3,1,2,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,4,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,8,7,4,6,3,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,5,1,6,2,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,7,5,6,1,4]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,1,3,6,4,5]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,7,2,1,3,6]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,6,4,2,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,4,6,1,2,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,6,5,1,7,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,1,6,2,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,1,8,6,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,1,6,7,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,2,8,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,3,2,4,8,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,6,5,1,3,4]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,8,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,8,6,4,1,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,5,2,8,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,4,8,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,1,7,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,6,3,4,8,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,2,6,4,8,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,4,8,1,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,8,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,6,4,3,8,1,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,1,4,8,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,8,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,1,7,6,2,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,6,4,2,5,3]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,3,8,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,8,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,2,4,8,3,7]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,6,3,8,2,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,1,3,6,5,2,4]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,4,3,8,5,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,4,7,3,8,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,8,7,3,6,5,2]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,2,5,1,6,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,8,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,6,1,5,8,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,5,8,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,3,2,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,8,3,2,6,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,5,4,8,3,2,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,4,3,8,2,7]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,4,5,6,7,9,8,2]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,2,3,4,5,6]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,7,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,2,3,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,5,8,2,3,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,7,5,2,3,4,6]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,8,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,4,6,1,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,8,6,1,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,5,8,1,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,8,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,8,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,6,1,3,7,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,4,8,1,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,7,2,6,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,1,7,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,1,5,7,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,8,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,7,2,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,8,5,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,8,5,2,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,1,8,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,1,5,2,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,5,6,7,1,4]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,7,1,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,4,6,1,8,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,7,4,6,1,8,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,4,1,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,7,4,1,3,8,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,6,3,5,7,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,6,3,5,7,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,2,5,7,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,5,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,2,5,7,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,5,7,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,1,5,7,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,1,6,5,7,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,2,6,1,8,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,1,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,2,7,1,8,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,5,3,1,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,4,8,2,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,5,4,1,8,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,2,5,1,8,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,3,8,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,3,8,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,2,6,1,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,2,6,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,5,3,1,8,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,8,4,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,4,1,8,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,2,7,5,1,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,5,8,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,5,2,6,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,3,7,2,1,6]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,5,2,8,6,1,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,9,7,8,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,9,6,7,8,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,8,6,4,5,7,3]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,5,3,4,6,7,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[9,3,2,4,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,4,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,5,6,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,3,4,6,8,5,7,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[3,2,6,4,1,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,5,3,1,4,7]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,8,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,2,3,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,4,7,6,8,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,2,8,7,5,1,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,7,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,1,8,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,4,2,7,3,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,1,5,8,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,5,8,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,7,4,6,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,4,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,2,3,8,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,3,2,8,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,3,8,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,6,2,5,3,4]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,5,2,4,7,6,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,2,4,8,3,6]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,5,1,4,7,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,4,1,3,8,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,4,6,1,3,2,5,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,5,8,6,3,2,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,5,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,2,6,7,3,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,5,3,6,2,4]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,8,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,1,7,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,1,6,7,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,5,1,2,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,8,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,8,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,7,1,4,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,8,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,4,5,7,2,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,8,7,5,6,4,3,2,1]=>[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[11,10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[10,9,8,7,5,6,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[9,8,7,5,4,6,3,2,1]=>[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,1,8,7,6,5,4,3,9]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[2,8,9,7,6,5,4,3,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,8,6,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,3,2,6,7,5]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,3,8,2,1,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,4,3,2,7,6,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,7,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,3,2,7,5,6]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,8,2,1,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,3,2,5,7,6]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,8,2,6,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,8,1,2,9,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,7,1,2,8,9,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,1,2,7,8,9,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,1,2,6,7,8,9,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,4,2,3,5,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,3,6,1,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,8,6,4,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,7,4,8,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,3,2,5,4,7,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,4,5,8,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,6,4,7,2,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,6,4,5,7,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,2,5,7,3,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,2,3,4,7,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,7,8,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,1,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,1,3,6,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,5,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,8,5,2,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,6,2,7,4,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,7,1,3,6,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,2,8,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,2,3,7,6,4]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,3,7,8,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,3,6,7,1,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,5,8,3,7,2,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,2,8,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,8,4,6,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,5,6,8,3,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,2,6,5,8,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,3,2,6,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,5,8,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,8,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,1,3,8,2,5,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,2,1,8,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,5,1,6,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,5,8,2,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,5,2,8,7,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,5,1,6,3,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,1,6,3,2,8]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,8,6,3,2,7]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,8,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,5,3,6,4,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,7,4,1,6,2,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,1,6,3,2,7]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,2,6,5,3,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,1,5,6,7,3,4]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,1,8,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,8,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,8,5,6,7,2,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,3,6,8,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,4,8,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,1,4,7,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,8,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,4,8,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,8,4,1,6,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,1,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,1,6,3,2,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,8,4,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,3,6,7,4,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,2,5,6,7,3,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,2,5,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,2,6,5,3,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,2,3,4,5,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,8,2,9,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,1,7,2,8,3,9,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,6,2,7,3,8,4,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,9,2,10,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,2,3,9,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,8,2,9,3,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,1,7,2,8,3,4,9,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,6,2,7,3,9,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,1,5,2,7,3,8,6,9]=>[[.,[.,[.,.]]],[.,[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,1,3,7,4,8,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,3,4,7,8,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,8,7,4,3,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,8,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,4,8,3,7,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,2,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,5,7,4,6,8,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,2,3,8,6,1,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,4,5,8,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,1,6,3,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,7,8,5,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,1,4,7,2,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,5,8,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,5,8,2,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,3,7,1,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,7,3,1,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,4,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,8,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,3,8,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,7,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,3,6,7,5,4]=>[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,8,2,7,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,5,4,3,8,2,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,6,2,4,5,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,8,3,6,2,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,8,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,8,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,3,2,6,8,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,3,6,2,8,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,6,2,7,1,5,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,4,8,3,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,3,5,8,2,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,6,8,7,2,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,7,6,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,4,5,7,8,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,5,7,8,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,5,7,6,8,1,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,4,6,8,7,1,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,8,4,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,6,4,7,2,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,8,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,8,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,4,8,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,1,3,7,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,2,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,5,1,8,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,8,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,8,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,6,2,7,1,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,8,7,3,1,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,8,6,7,1,3]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,5,6,2,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,8,6,7,2,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,6,1,2,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,1,2,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,5,6,2,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,8,6,7,3,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,8,6,7,2,1]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,5,8,6,7,4,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,8,7,1,2,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,5,6,2,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,7,1,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,8,6,4,7,2,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,5,7,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,7,2,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,4,6,1,7,2,5]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,6,4,7,2,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,5,6,7,2,1]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,6,5,2,7,4,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,5,2,1,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,5,1,7,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,7,3,2,8,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,4,6,7,2,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,4,7,1,3,8,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,6,5,3,7,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,7,2,3,8,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,7,8,10,11,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]=>([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[2,3,1,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,1,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,3,2,4,5,6,7,9,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,6,2,5,4,8,3,7]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,7,5,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,5,8,2,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,3,1,8,2,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,3,5,8,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,3,8,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,1,3,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,1,8,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,7,5,8,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,3,8,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,4,3,8,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,4,2,8,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,7,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,3,2,1,8,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,3,1,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,3,2,8,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,7,4,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,1,8,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,8,1,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,1,8,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,6,1,2,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,4,6,2,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,5,7,1,4,6,3]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,7,1,5,6,3]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,4,7,1,5,6]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,3,5,6,2,4,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,6,5,2,3,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,7,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,7,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,5,7,6,1,4,2]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,6,2,1,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,6,2,1,5]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,6,5,2,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,5,2,7,4,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,3,7,6,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,6,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,7,5,1,6,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,4,2,7,5,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,7,4,1,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,7,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,5,7,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,4,7,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,2,3,7,4,1,6]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,2,7,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,1,5,4,3,2,7]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,5,8,3,1,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,6,1,5,8,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,8,5,1,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,6,7,3,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,4,8,3,2,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,5,8,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,2,1,6,4,8,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,7,2,4,6,5,1]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,7,6,4,8,5,2]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,8,7,6,4,2,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,7,5,4,2,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,7,6,5,4,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,6,5,3,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,6,5,3,2,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,1,7,6,3,2,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,8,6,3,2,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,7,6,3,2,8]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,8,5,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,7,5,3,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,6,5,3,2,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,1,4,3,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,1,4,3,2,6]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,1,4,3,2,7]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,1,7,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,6,4,5,8,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,8,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,7,6,1,4,3,5]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,7,8,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,3,8,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,6,1,4,5,3]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,2,3,4,7,1,6,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,7,1,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,4,7,8,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,5,3,1,6,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,8,5,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,6,7,4,1,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,7,2,4,8,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,7,1,4,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,8,2,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,2,7,5,4,3,6]=>[[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,8,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,5,3,2,6,4]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,8,1,5,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,1,4,3,8,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,7,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,3,1,2,8,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,7,1,4,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,2,6,4,8,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,6,8,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,5,7,8,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,2,7,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,1,3,2,8,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,8,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,5,7,8,2,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,1,7,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,1,8,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,6,5,2,7,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,4,7,8,2,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,1,5,7,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,1,6,7,8,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,6,7,8,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,3,7,8,2,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,4,6,5,2,7,3]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,4,6,3,2,8]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,6,7,5,4,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,4,7,6,3,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,4,1,8,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,1,5,7,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,3,7,1,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,5,4,8,3,2,7]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,5,8,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,4,7,8,2,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,1,3,7,8,2,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,1,7,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,4,3,7,8,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,3,1,5,2,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,6,1,3,2,8]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,6,5,1,2,7,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,6,3,7,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,2,3,4,5,8,9,10,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,1,2,3,4,8,9,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,1,2,3,4,7,8,9,10,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,1,2,3,6,7,8,9,10,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,5,2,4,3,8,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,5,7,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,8,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,4,2,6,3,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,6,5,4,3,2,9,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,7,6,5,4,3,1,2,8]=>[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,8,4,7,5,6,1]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,2,8,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,5,8,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,8,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,7,5,2,4,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,7,8,6,1,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,5,1,7,3,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,5,1,6,4,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,5,3,8,2,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,6,7,8,9,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,2,1,3,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,4,5,6,7,3]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,1,2,5,6,4,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,2,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,8,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,7,8,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,8,4,3,6,7,5]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,2,6,8,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,3,6,8,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,6,1,4,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,4,2,7,6,3,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,8,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,7,6,5,4,2]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,8,7,3,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,7,8,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,7,8,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,8,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,4,7,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,1,5,3,2,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,2,1,8,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,2,1,6,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,4,8,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,5,8,2,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,2,6,3,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,4,1,6,2,8,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,1,6,7,8,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,6,1,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,6,7,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,1,4,6,8,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,2,4,8,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,3,4,7,8,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,6,4,7,5,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,3,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,2,8,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,6,3,8,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,6,3,7,5,4]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,2,7,6,3,5,4]=>[[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,3,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,1,6,2,8,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,1,8,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,2,4,8,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,2,8,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,7,4,3,8,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,2,6,3,8,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,2,7,3,8,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,7,3,5,8,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,3,2,1,8,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,1,5,3,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,2,6,3,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,4,2,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,6,2,7,3,8,4,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,1,5,2,6,3,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,1,4,2,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,2,5,4,1,8,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,3,2,1,8,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,2,1,8,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,2,7,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,4,8,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,2,8,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,8,5,2,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,4,7,6,1,3]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,5,4,8,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,3,2,8,6,1,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,4,8,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,6,5,4,1,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,6,5,2,1,7]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,7,5,2,1,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,8,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,4,8,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,5,1,8,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,1,8,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,1,8,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,8,1,7,5,6,2]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,5,1,8,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,5,8,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,8,1,7,5,6,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,1,5,2,8,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,6,4,2,8,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,1,5,8,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,6,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,4,3,8,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,5,3,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,2,4,7,5,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,4,8,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,1,3,7,5,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,3,6,1,7,4,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,4,5,8,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,2,5,4,7,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,1,4,3,6,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,1,3,6,7,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,2,4,5,6,7,3]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,4,3,2,7,8,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,6,7,2,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,2,6,5,4,3,1,7]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,6,4,5,3,1]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,3,5,4,2,6,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,7,2,1,8,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,1,8,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,8,6,1,3,7,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,6,2,7,3,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,1,5,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,2,1,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,6,7,8,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,3,5,6,7,8,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,4,5,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,8,3,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,2,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,1,7,4,5,2,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,7,1,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,4,6,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,5,7,8,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,2,5,4,7,1,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,2,5,1,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,6,2,1,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,5,2,7,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,8,5,2,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,5,4,1,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,5,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,2,7,8,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,5,2,3,4,8,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,1,7,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,1,2,4,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,5,1,7,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,4,8,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,1,7,2,5,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,8,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,4,5,6,8,7,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,7,9,8,10]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,3,4,5,7,6,8,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,2,3,4,5,6,7,1,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,2,7,3,4,6,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,8,6,4,7,2]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,5,8,6,7,2,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,7,4,8,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,4,1,3,6,8,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,3,1,6,5,8,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,7,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,8,1,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,6,3,4,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,7,3,8,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,5,3,4,8,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,3,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,8,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,8,7,3,4,6,5]=>[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,7,4,5,1,6,3]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,1,5,7,2,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,8,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,1,4,3,6,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,3,7,5,6,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,3,7,5,6,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,6,8,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,1,3,8,6,7,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,3,8,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,4,7,1,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,2,6,8,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,2,4,7,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,6,2,4,3,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,3,8,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,7,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,3,6,8,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,7,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,6,1,4,8,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,6,5,3,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,3,2,1,4,6,5]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,1,7,4,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,6,8,4,2,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,6,4,3,7,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,3,4,1,7,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,2,8,5,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,3,5,8,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,8,3,7,5,1,6,4]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,2,3,7,5,6,4]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,4,3,6,7,1,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,2,5,6,1,8,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,7,8,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,2,8,5,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,5,1,7,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,6,4,3,2,7]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,5,6,4,1,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,7,6,8,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,2,5,6,8,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,7,2,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,3,6,7,4,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,6,2,3,8,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,4,6,7,3,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,2,6,1,3,4,8,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,7,2,5,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,5,1,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,6,2,3,8,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,6,1,2,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,3,5,7,2,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,3,8,2,5,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,5,3,4,8,2,7]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,5,2,8,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,1,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,4,3,7,1,5,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,6,7,1,2,5]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,8,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,5,4,8,3,6,7]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,8,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,7,2,4,5,6]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,7,8,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,4,7,2,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,3,6,7,8,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,3,8,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,8,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,2,6,7,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,7,4,6,2,3,5]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,4,7,1,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,7,2,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,4,6,2,3,5]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,4,1,8,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,1,4,8,3,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,4,1,3,8,2,7]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,4,2,8,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,8,7,4,2,6,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,4,3,1,5,2,6]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,5,1,4,6,7,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,4,5,1,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,3,6,7,2]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,7,5,6,4,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,6,5,3,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,5,7,6,3,2]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,1,8,5,7,6,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,4,7,6,3,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,7,4,2,6,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,3,1,6,5,4]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,4,2,3,7,6,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,2,8,7,4,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,2,4,3,7,6]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,7,4,1,6,5]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,5,7,6,2,3,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,8,7,6,4,5]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,7,3,1,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,8,7,2,5,6]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,3,4,6,7,2,5]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,8,2,6,7,1,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,2,5,7,4,6,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,1,7,5,6,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,5,6,4,1,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,5,7,6,3,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,2,7,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,7,3,6,5,1]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,2,1,6,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,7,6,5,2,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,1,7,4,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,1,3,6,5,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,4,5,6,9,1,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,2,3,4,5,6,7,10,1,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[2,3,4,7,6,8,1,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,2,5,6,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,2,5,6,4,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,1,4,6,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,1,6,5,2,7,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,2,6,7,1,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,5,4,2,7,1,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,4,7,3,1,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,8,6,5,2,7,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,5,2,6,7,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,2,4,1,5,7,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,8,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,3,2,4,8,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,6,1,3,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,4,6,8,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,6,7,5,1,2]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,3,4,7,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,6,1,3,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,5,7,6,3,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,6,8,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,6,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,8,1,7,3,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,5,2,8,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,5,2,6,7,1,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,6,1,2,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,6,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,6,4,7,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,7,6,4,8,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,2,3,5,1,7,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,5,7,4,1,3,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,4,5,6,8,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,5,6,2,8,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,8,4,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,3,2,8,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,1,4,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,1,4,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,8,3,5,2,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,8,1,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,4,2,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,5,8,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,7,5,8,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,8,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,4,8,1,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,3,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,8,3,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,3,5,8,7,4,1]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,3,7,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,5,3,7,2,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,1,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,8,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,8,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,8,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,8,6,3,1,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,8,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,8,3,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,6,3,8,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,1,4,8,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,2,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,8,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,8,7,1,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,8,1,4,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,5,8,2,1,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,2,3,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,1,5,4,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,3,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,5,4,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,4,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,3,7,1,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,7,2,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,6,5,8,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,3,6,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,2,7,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,2,4,6,7,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,5,2,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,8,2,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,1,7,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,6,3,2,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,8,6,2,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,8,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,4,8,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,8,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,2,4,8,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,5,2,3,8,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,3,2,5,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,3,2,8,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,2,8,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,7,2,5,8,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,2,5,8,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,2,6,8,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,2,6,4,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,7,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,3,7,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,4,6,2,3,8,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,6,2,8,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,6,2,8,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,2,3,8,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,2,5,8,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,2,5,8,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,8,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,4,6,3,8,7,5,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,6,8,7,1,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,8,7,1,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,8,7,1,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,5,7,1,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,3,7,1,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,8,3,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,8,1,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,7,3,5,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,7,1,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,5,1,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,1,8,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,3,8,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,8,3,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,7,3,1,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,8,7,5,1,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,7,5,2,1,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,4,7,5,8,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,5,3,2,7,4]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,5,8,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,7,8,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,7,8,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,3,2,7,8,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,1,7,4,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,2,6,5,1,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,8,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,8,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,6,2,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,3,1,7,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,7,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,1,7,6,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,4,2,5,3,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,2,7,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,2,4,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,4,3,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,4,6,3,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,6,2,3,7,4,5]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,6,8,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,3,8,2,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,8,4,2,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,2,8,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,3,8,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,8,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,8,2,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,7,3,6,8,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,3,6,8,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,8,3,2,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,3,4,5,6,7,9,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,2,3,4,5,6,9,8,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[4,2,3,9,5,6,7,8,1]=>[[[.,.],[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,9,4,5,6,7,8,1]=>[[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,9,3,4,5,6,7,8,1]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,2,3,4,5,6,7,8,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[8,2,3,4,5,6,7,10,9,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[6,2,3,5,8,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,3,1,6,9,7,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[5,2,4,8,1,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,10,5,6,7,8,9,1]=>[[[.,.],[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,6,4,5,7,3,1,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,6,3,4,7,1,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,6,7,4,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,6,3,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,7,3,6,4,8,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,5,7,4,1,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,3,1,8,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,5,8,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,8,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,6,4,1,8,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,2,1,8,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,5,2,1,8,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,3,6,2,1,7,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,7,3,1,2,8,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,8,3,2,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,6,3,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,1,2,4,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,8,4,1,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,3,1,8,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,2,4,8,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,2,3,6,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,8,4,5,1,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,3,7,6,4,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,7,3,5,4,1,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,6,5,3,4,1,8]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,5,4,1,3,7]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,8,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,7,8,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,8,5,1,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,5,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,5,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,7,3,1,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,6,2,3,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,8,5,4,2,1,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,8,2,1,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,1,8,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,1,7,6,2,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,2,1,8,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,6,5,2,3,4]=>[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,2,7,6,3,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,1,7,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,7,8,2,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,3,7,8,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,6,8,4,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,3,5,1,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,8,4,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,6,2,1,4,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,1,7,4,5,3,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,6,3,8,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,2,1,6,7,3]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,8,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,5,1,4,8,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,1,6,5,3,8,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,2,7,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,7,3,8,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,8,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,1,8,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,8,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,1,7,6,4,3]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,4,3,8,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,2,7,8,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,8,6,1,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,8,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,7,8,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,2,5,3,1,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,5,6,3,2,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,7,5,4,1,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,7,5,3,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,3,1,5,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,5,3,1,8,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,8,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,3,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,5,8,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,8,3,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,4,8,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,8,1,6,5,2,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,6,5,7,8,1,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,4,1,2,6,7,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,4,8,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,4,1,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,4,5,1,8,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,2,8,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,2,3,5,7,6,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,3,8,6,7,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,4,8,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,5,6,1,7,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,6,4,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,2,8,5,7,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,5,6,4,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,4,6,7,5,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,5,8,1,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,1,3,5,8,2,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,1,7,2,6,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,5,8,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,6,4,8,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,2,1,5,8,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,1,3,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,4,2,7,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,4,6,7,1,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,2,1,4,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,6,1,2,5,7,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,4,2,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,2,8,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,8,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,4,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,2,8,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,1,3,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,7,1,8,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,1,8,7,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,5,7,2,8,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,1,4,7,2,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,3,2,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,3,2,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,1,2,7,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,7,1,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,3,7,6,1,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,2,4,7,1,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,8,7,1,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,5,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,8,3,1,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,3,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,1,3,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,6,8,7,1,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,7,1,2,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,7,1,6,8,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,7,6,8,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,1,7,6,8,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,2,8,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,1,2,8,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,8,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,8,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,2,3,1,8,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,1,3,7,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,4,1,7,8,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,7,8,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,8,5,2,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,3,5,8,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,1,3,2,7,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,3,2,4,7,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,7,8,5,4,1,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,8,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,6,7,8,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,8,6,2,7,5]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,4,1,3,8,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,2,6,1,7,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,2,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,7,2,3,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,3,4,1,5,6,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,3,4,8,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,4,6,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,3,5,7,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,4,5,6,1,8,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,4,8,5,6,2,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,4,5,1,6,3]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,5,2,6,7,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,8,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,1,5,7,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,4,3,2,7,8,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,2,1,6,7,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,2,3,6,8,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,2,3,6,8,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,2,5,3,6,7,4]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,6,3,7,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,5,3,8,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,8,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,8,6,7,1,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,4,1,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,8,5,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,3,8,4,1,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,7,4,5,6,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,8,3,5,7,1,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,4,3,5,6]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,7,2,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,3,7,4,2,5,6]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,1,4,2,5,6]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,3,5,7,1,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,7,4,1,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,1,7,4,6,5,8]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,5,1,7,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,6,7,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,6,7,4,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,6,2,7,3,1,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,3,8,6,7,2,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,2,8,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,7,6,5,1,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,7,8,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,5,6,8,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,8,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,4,2,1,7,8,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,1,7,6,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,6,5,2,7,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,6,7,2,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,3,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,3,8,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,7,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,6,7,4,2,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,5,2,7,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,3,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,1,3,7,2,6,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,6,7,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,4,8,2,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,8,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,2,6,3,5,1,4]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,6,5,2,3,4]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,5,6,8,2,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,5,2,4,8,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,1,5,2,4,3,8]=>[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,6,3,5,4,2,8]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,3,5,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,8,3,6,4,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,7,6,4,5,2,3]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,4,6,5,1,3]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,5,7,6,4,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,1,6,8,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,5,6,8,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,4,3,1,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,2,5,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,2,6,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,8,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,4,3,2,6,8,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,4,7,2,6,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,6,2,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,6,2,8,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,2,8,4,3,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,8,5,6,3,4,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,5,2,8,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,2,5,8,4,3]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,8,2,6,3,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,4,8,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,6,5,2,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,2,6,5,4,7]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,3,8,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,2,7,6,4,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,4,3,8,7,5,6]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,8,7,2,5,6]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,6,2,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,5,4,2,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,4,8,6,5,3]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,5,3,2,8,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,2,8,6,5,4,3,7]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,4,6,5,2,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,1,4,6,5,2,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,3,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,7,5,2,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,5,2,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,4,2,6,3,7]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,3,5,6,2,7]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,2,1,6,4,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,4,2,6,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,4,1,6,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,7,1,5,2,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,1,5,2,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,8,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,5,4,1,2,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,5,1,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,1,5,2,3,4]=>[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,4,8,6,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,5,3,4,7,2]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,2,5,3,4,7,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,1,3,4,7,2]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,7,5,1,3,6,2,4]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,5,3,6,2,4]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,3,5,4,7,2]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,4,8,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,8,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,5,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,5,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,8,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,1,6,4,2,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,6,4,5,2]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,4,6,5,2]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,2,7,5,6,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,7,8,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,3,4,1,8,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,6,2,5,4]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,2,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,3,5,6,2,4]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,5,2,4,6,1,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,5,4,6,2,3]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,3,2,6,1,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,7,6,4,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[9,7,5,3,1,8,6,4,2,10]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[7,5,3,2,1,6,4,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,3,1,4,2,8]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,4,3,2,7,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,6,4,2,5,3]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,10,8,6,4,2,9,7,5,3]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[8,4,6,7,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,8,6,7,5,3,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,2,5,8,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,6,8,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,5,7,4,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,3,6,8,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,6,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,6,4,5,3,2]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,7,4,5,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,2,6,4,3,5,7]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,2,6,4,3,5,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,2,5,4,6,3,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,7,2,8,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,2,8,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,5,8,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,2,5,8,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,7,3,8,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,4,8,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,4,8,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,4,8,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,6,4,2,5,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,5,1,4,3,8,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,5,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,5,3,8,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,7,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,6,7,1,4,5]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,1,5,8,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,5,4,3,2,1,7,9]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[3,1,2,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,7,6,5,4,3,2,1,8,10]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[2,4,8,7,5,3,1,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,7,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,1,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,2,4,3,8,7]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,5,3,1,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,5,3,1,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,7,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,4,6,5,1,2]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,7,3,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,3,1,2,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,3,4,1,2,6,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,6,5,2,4]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,2,6,5,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,3,4,6,5,1]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,3,6,5,1,4]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,1,6,5,3,4]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,1,2,6,5,3,4]=>[[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,1,2,4,3,6,5]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,7,3,4,6,5]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,1,2,4,3,6]=>[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,1,4,3,6,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,3,4,1,6,5]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,5,6,3,4,1]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,7,3,1,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,3,1,4,6,5]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,3,1,8,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,2,6,8,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,6,3,1,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,3,1,6,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,3,6,4,1]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,6,1,4,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,7,5,1,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,7,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,6,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,2,4,6,5,3]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,7,3,6,5,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,4,3,6,5,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,7,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,3,1,2,6,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,3,6,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,1,4,3,6,5,2]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,4,1,6,5,2]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,4,3,2,5,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[8,1,2,3,4,5,7,6,9]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,3,5,4,6,8]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,9,2,3,4,5,6,8,7]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,6,4,5,3,8]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,2,4,3,5,6,8]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,9,2,3,4,5,8,7,6]=>[.,[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,9,2,3,4,5,7,6,8]=>[.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,10,2,3,4,5,6,7,9,8]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,7,3,6,5,1,2,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,2,8,3,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,6,1,5,2,4,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,6,8,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,1,8,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,8,6,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,8,7,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,2,8,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,3,2,4,5,7]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,3,7,4,2,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,3,5,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,3,5,2,1,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,8,1,3,2,6,7]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,1,3,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,3,5,2,4,6,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,5,7,2,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,2,7,6,3,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,5,7,3,6,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,6,2,5,7,1,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,6,7,4,2,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,4,7,8,5,3,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,4,7,6,8,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,7,6,8,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,3,6,8,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,8,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,6,2,4,7,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,6,5,7,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,6,7,4,1,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,5,6,3,1,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,1,6,4,3,2,5]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,7,5,4,3,6]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,7,5,4,2,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,1,7,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,2,8,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,6,5,4,7]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,7,5,4,3,6]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,8,6,5,4,7]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,1,7,6,8,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,1,8,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,7,1,6,8,2,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,7,6,1,8,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,7,6,8,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,7,8,6,3,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,6,7,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,7,5,6,2,1,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,6,7,3,2,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,8,6,7,3,1,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,8,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,8,7,5,4,1,6]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,8,7,5,4,2,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,7,6,4,3,1,5]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,7,6,4,3,2,5]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,6,7,3,2,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,5,6,2,1,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,9,8,7,6,5,4,2]=>[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,5,8,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,7,2,5,6,4,3]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,5,2,7,6,4]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,5,4,8,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,3,7,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,4,1,6,7,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,5,6,3,7,2]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,5,6,2,7,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,7,6,2,5,3]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,7,8,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,6,2,8,7,4,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,5,1,7,6,3,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,1,5,6,4,2,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,2,5,6,7,1,4]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,3,7,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,5,6,2,8,1,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,2,8,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,4,1,6,8,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,1,4,7,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,6,3,4,8,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,4,1,6,5,8,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,4,2,5,8,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,1,4,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,3,6,8,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,3,8,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,1,6,2,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,1,4,5,2,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,2,1,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,5,7,2,6,3,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,5,7,3,2,6,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,7,2,4,1,5,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,7,5,1,2,6,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,4,6,2,1,5,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,4,6,1,5,2,8]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,7,6,1,2,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,7,6,1,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,3,5,6,1,4,2]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,2,7,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,7,2,1,5,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,5,1,6,7,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,3,1,6,4,7,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,1,4,5,6,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,3,7,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,8,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,7,3,1,5,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,3,1,6,4,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,1,2,6,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,1,2,7,5,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,4,1,2,5,3,6]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,7,4,2,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,2,5,3,6,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,4,5,2,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,4,2,5,3,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,4,1,5,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,8,3,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,5,3,1,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,8,3,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,5,3,2,6,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,4,2,7,3,5]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,4,2,5,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,5,2,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,1,6,8,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,8,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,8,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,6,1,4,5,3]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,8,6,2,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,6,3,1,2,5,4,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,3,1,2,4,7,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,6,5,3,4,7]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,1,5,6,2,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,8,1,6,4,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,3,7,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,1,2,8,3,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,5,3,4,6,8]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,3,2,8,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,3,2,7,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,2,8,5,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,2,8,4,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,8,6,5,7,2,1]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,4,7,3,6,5,8]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,5,7,4,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,8,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,1,8,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,1,7,8,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,6,8,4,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,3,1,6,5,7,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,2,5,1,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,5,8,6,4,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,8,5,6,3,7,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,7,2,6,8,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,3,4,6,8,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,7,3,2,5,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,2,3,8,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,8,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,2,8,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,5,8,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,4,8,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,8,4,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,2,1,8,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,4,2,5,7,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,2,1,8,4,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,6,5,7,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,4,3,8,7,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,8,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,1,6,4,5,8,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,1,4,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,8,7,5,4,6,2]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[9,3,4,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,4,5,7,9,8,6]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,4,6,8,9,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,2,3,4,6,9,8,7,5]=>[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,3,5,9,8,7,6,4]=>[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,4,9,8,7,6,5,3]=>[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,3,5,7,9,10,8,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[1,3,10,9,8,7,6,5,4,2]=>[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,3,4,8,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,8,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,7,2,5,6,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,5,7,3,2,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,1,7,2,8,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,1,6,2,8,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,2,5,3,1,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,3,4,8,2,6,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,4,5,7,8,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,4,7,1,8,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,3,4,5,6,8,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,2,7,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,5,6,2,7,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,2,5,6,1,7,4]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,5,1,6,8,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,7,8,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,7,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,8,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,8,5,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,1,2,5,3,8,4]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,2,4,8,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,3,8,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,7,5,1,8,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,1,2,4,3,8,5]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,2,1,5,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,2,8,7,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,2,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,1,8,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,2,8,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,6,1,4,7,2,3]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,1,2,5,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,7,4,2,5,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,7,5,8,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,5,7,4,1,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,6,8,4,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,5,3,6,1,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,3,1,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,3,6,4,8,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,5,3,8,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,8,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,6,8,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,6,8,3,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,5,3,6,8,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,6,3,8,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,3,1,4,6,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,3,1,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,6,2,8,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,6,3,2,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,8,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,8,7,2,1,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,8,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,2,8,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,7,3,8,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,8,3,1,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,6,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,6,7,8,5,1,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,8,3,1,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,6,2,8,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,7,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,8,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,7,2,6,4,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,2,8,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,8,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,5,1,7,6,2,3]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,4,8,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,1,3,8,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,1,3,8,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,7,1,4,2,8,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,4,8,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,5,1,3,8,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,7,8,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,4,2,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,5,7,8,3,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,7,8,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,7,8,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,4,6,3,2,7,5]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,8,5,3,2,1,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,1,4,2,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,2,4,6,8,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,7,8,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,8,2,6,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,8,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,1,6,3,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,8,3,6,5,1,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,3,8,7,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,8,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,6,3,4,8,1,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,7,8,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,1,3,4,8,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,7,1,8,6,3]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,2,3,4,7,5]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,2,5,7,8,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,2,3,7,8,9,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,8,3,4,5,2,7,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,6,4,7,2,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,8,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,8,6,7,2,1,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,2,5,1,7,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,2,5,8,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,6,7,8,3,5,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,5,3,6,8,7,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,5,1,6,8,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,8,6,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,8,5,6,1,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,3,8,5,1,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,2,6,3,1,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,4,1,3,7,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,6,3,1,7,2,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,6,5,1,8,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,8,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,8,3,6,5,2,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,6,4,7,2,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,7,6,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,5,7,3,2,6]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,7,6,2,3,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,8,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,8,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,8,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,7,6,2,8,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,8,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,1,8,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,7,6,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,3,7,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,7,6,1,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,7,5,4,1,6,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,3,1,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,8,1,5,2,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,7,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,5,8,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,5,7,2,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,6,4,3,1,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,1,4,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,8,1,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,6,7,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,6,7,8,2,1,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,7,8,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,4,8,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,1,3,8,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,8,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,6,7,8,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,4,8,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,7,8,3,2,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,2,1,5,4,6,3]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,8,6,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,5,2,4,1,8,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,3,1,5,8,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,8,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,1,2,7,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,1,4,5,7,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,9,1,2,4,6,8,10]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[4,1,2,3,5,6,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,1,2,3,4,6,7,8,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,1,2,3,4,5,6,7,9,10]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,2,3,4,5,6,8,9,10]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,1,2,3,4,5,7,8,9,10]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,2,6,4,8,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,8,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,1,8,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,8,3,6,1,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,3,8,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,8,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,5,7,6,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,2,6,8,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,4,8,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,8,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,4,5,7,2,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,4,2,5,7,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,3,5,2,7,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,1,2,5,4,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,6,8,7,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,3,5,1,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,3,5,7,6,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,4,5,7,6,1]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,2,5,1,4,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,5,7,1,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,5,2,4,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,6,4,1,3,2,8]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,4,2,5,6,3,8]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,1,4,6,5,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,4,3,2,5,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,3,5,6,2,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,3,5,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,1,5,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,5,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,1,5,6,8,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,4,1,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,7,1,6,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,8,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,1,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,2,5,3,6,7,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,3,6,7,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,8,5,3,6,7,1]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,4,8,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,3,8,6,7,1]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,2,8,6,7,1]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,3,2,6,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,2,8,6,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,2,7,5,6,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,4,2,8,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,4,6,8,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,2,4,3,8,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,2,5,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,8,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,1,8,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,8,5,6,4,3]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,6,8,5,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,4,8,5,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,6,8,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,8,4,6,7,1]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,8,4,6,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,5,8,2,6,7,1]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,8,3,6,7,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,4,8,2,6,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,8,3,6,7,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,8,4,7,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,3,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,3,2,6,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,3,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,7,8,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,6,8,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,2,7,1,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,1,2,3,8,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,6,3,2,8,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,6,7,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,2,3,1,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,5,2,1,4,3,8,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,8,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,5,2,1,8,6,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,4,8,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,5,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,8,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,4,2,1,5,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,1,3,6,2,8]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,5,1,8,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,6,5,3,8,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,6,3,8,2,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,6,4,7,3,2,5]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,8,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,1,7,3,6,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,6,2,1,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,6,2,4,1,7,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,5,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,8,7,3,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,8,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,8,1,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,1,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,1,7,5,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,4,8,3,1,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,8,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,2,7,8,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,5,6,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,8,5,6,1,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,8,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,8,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,1,2,5,7,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,4,7,2,5,8,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,2,7,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,3,7,5,8,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,6,1,8,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,5,7,1,2,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,3,5,4,8,1]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,2,4,3,6,1,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,8,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,6,7,8,5,1,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,1,6,4,2,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,1,7,6,5,3,4]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,1,6,8,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,1,2,8,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,4,8,6,1,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,1,6,7,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,7,4,3,8,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,8,4,6,2,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,8,4,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,5,4,7,2,3]=>[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,8,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,6,7,3,8,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,3,4,6,2,8,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,8,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,4,6,3,2,5]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,5,8,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,8,3,4,7,2,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,6,8,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,2,8,4,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,4,2,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,7,5,2,6,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,3,6,8,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,7,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,3,2,5,4,6]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,4,8,7,3,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,8,6,3,5,7]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,2,4,7,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,3,5,7,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,3,2,1,4,7,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,6,8,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,3,2,5,7,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,3,4,2,6,8,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,3,5,8,4,2,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,3,2,8,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,8,4,6,3,7]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,3,2,7,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,1,8,6,2,3,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,8,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,4,3,8,5,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,5,7,6,3,2,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,5,7,8,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,3,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,6,8,4,5,3]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,4,7,5,3,2,6]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,7,2,6,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,2,5,3,4,1,8]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,4,5,3,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,2,4,3,5,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,2,3,5,4,1,8]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,2,7,1,6,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,3,2,8,1,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,1,5,3,2,4]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,6,1,4,3,5,2]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,1,3,5,4,2]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,1,5,4,2,3]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,7,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,2,8,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,5,4,2,1,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,6,1,2,5,3,4]=>[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,1,2,5,4,3]=>[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,1,4,2,5,3]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,6,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,3,8,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,4,1,2,6,3]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,1,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,1,3,4,2,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,3,5,6,4,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,3,7,8,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,7,3,8,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,7,5,8,4,1,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,6,8,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,2,7,5,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,2,5,7,8,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,1,2,8,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,1,7,4,6,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,7,3,5,6,1,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,6,4,2,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,2,4,6,1,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,8,5,2,7,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,8,1,6,7,2]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,4,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,6,8,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,8,1,5,6,4,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,1,2,6,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,2,3,6,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,8,1,7,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,7,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,1,8,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,1,3,2,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,7,5,3,6,4,2]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,3,7,4,2,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,4,6,1,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,4,6,3,7,2]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,5,6,4,3,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,3,1,7,2,5]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,5,6,3,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,7,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,7,2,8,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,6,4,1,7,2,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,6,1,7,4,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,8,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,1,8,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,2,1,8,3,5,7,9]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[10,6,4,2,1,8,3,5,7,9]=>[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[6,4,2,1,8,3,5,9,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[6,2,8,3,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,3,1,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,7,5,3,1,2,4,6,8,10]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[1,5,3,2,8,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,5,3,2,6,7,4]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,2,3,4,8,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,2,4,8,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,7,8,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,8,6,2,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,4,5,6,7,2,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,6,3,5,7,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,8,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,7,8,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,3,5,6,2,8,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,8,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,4,6,3,8,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,4,5,2,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,8,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,8,4,5,6,3,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,4,5,6,2,3,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,2,7,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,5,2,6,1,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,3,2,5,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,3,6,7,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,8,4,6,2,7,5]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,1,6,5,2,3,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,7,6,4,3,5,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,7,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,5,6,8,4,1]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,4,7,5,8,1,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,6,4,5,1,3]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,2,4,7,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,2,6,4,7,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,7,4,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,7,6,4,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,2,8,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,2,7,4,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,4,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,2,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,7,5,4,8,6,1]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,7,6,8,2,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,2,1,4,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,1,8,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,4,2,1,6,3,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,6,7,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,6,7,4,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,2,8,6,3,7,1,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,1,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,4,8,5,7,6]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,9,6,8,7]=>[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,3,4,8,5,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,9,1,2,3,4,8,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,2,3,4,5,9,6,10,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,7,2,3,4,5,9,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,1,2,3,7,4,8,9,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,7,1,2,6,8,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,2,3,6,8,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,4,5,6,7,8,11,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[3,5,7,4,1,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,7,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,4,1,2,5,3,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,4,3,1,6,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,4,6,1,5,2,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,5,6,1,4,7,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,2,8,5,7,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,3,4,5,9,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,3,1,2,5,8,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,7,2,1,4,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,3,8,5,7,4,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,1,3,5,7,10,2,4,6,8]=>[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[7,3,1,2,8,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,7,6,3,5,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,5,3,8,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,5,6,7,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,1,6,3,7,8,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,6,7,8,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,6,3,4,8,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,7,5,4,8,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,2,1,6,8,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,4,7,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,6,4,7,3,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,6,5,7,2,4,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,4,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,1,8,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,1,6,8,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,6,2,1,8,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,7,3,8,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,6,7,1,4,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,4,6,8,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,4,7,8,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,4,3,2,8,5,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,8,6,1,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,6,5,7,3,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,8,6,4,2,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,7,6,5,1,4,8]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,8,4,1,6,5,7]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,1,6,2,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,4,6,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,8,7,5,1,3,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,6,1,8,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,6,2,8,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,3,2,8,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,4,3,8,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,8,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,2,8,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,2,1,8,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,1,3,7,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,8,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,5,8,7,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,7,5,8,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,3,4,1,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,7,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,6,8,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,2,8,4,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,3,7,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,3,7,1,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,5,7,3,8,4,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,7,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,7,8,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,5,4,7,1,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,4,2,5,8,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,1,5,7,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,5,2,7,1,6]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,2,6,3,4,8]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,5,2,6,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,1,8,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,6,8,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,5,2,6,7,1,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,2,7,1,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,6,5,2,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,7,1,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,4,6,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,4,7,1,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,1,4,8,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,1,4,5,2,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,7,6,5,8,1,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,5,6,7,8,9,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,7,8,5,4,3,2,1,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,7,8,4,3,2,1,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,4,7,8,3,2,1,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,4,3,7,8,2,1,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,4,3,2,7,8,1,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,8,9,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[7,8,9,6,5,4,3,2,1,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,8,9,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[7,6,8,9,5,4,3,2,1,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,8,9,4,3,2,1,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,4,8,9,3,2,1,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,4,3,8,9,2,1,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,4,3,2,7,8,9,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,4,3,2,8,9,1,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,5,7,6,8,2,1,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,5,3,7,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,4,3,7,5,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,6,4,7,5,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,5,3,6,4,1,7]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,5,3,6,4,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,5,3,7,4,1,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,3,7,5,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,3,6,4,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,2,5,4,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,4,6,5,2,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,2,5,4,1,6]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,3,6,4,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,4,6,5,1,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,7,3,6,5,2,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,4,1,6,3,7]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,6,4,1,5,3,7]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,8,3,7,5,2,6]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,4,8,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,4,8,6,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,5,8,6,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,3,7,5,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,8,3,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,2,6,4,1,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,4,8,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,4,8,5,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,3,7,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,6,3,8,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,3,8,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,4,8,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,6,3,8,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,3,8,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,3,8,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,3,7,4,1,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,4,8,5,2,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,5,4,8,6,2,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,3,7,5,1,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,3,8,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,4,3,8,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,3,8,6,1,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,3,8,6,1,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,3,1,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,2,4,3,1,7,5,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,3,1,6,5,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,3,6,4,2,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,3,6,5,2,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,2,4,7,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,5,3,1,6,4,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,5,3,1,7,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,3,1,7,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,4,1,7,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,4,1,6,5,8]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,7,3,1,6,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,3,1,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,7,3,1,5,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,6,3,1,5,4,8]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,4,8,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,3,7,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,5,3,7,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,1,6,4,7,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,5,1,6,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,4,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,7,4,1,5,2,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,2,5,6,4,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,5,2,4,8,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,8,7,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,2,8,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,7,1,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,1,5,2,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,5,3,2,6,8,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[9,8,7,6,5,4,2,1,3,10]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,5,4,3,2,1,8,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,6,2,3,1,5,7,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,7,3,6,8,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,1,7,8,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,4,2,1,5,8,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,3,2,4,8,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,6,4,7,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,3,2,4,7,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,7,8,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,1,8,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,6,2,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,3,8,4,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,3,8,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,2,7,8,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,8,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,8,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,8,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,4,1,3,6,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,4,7,5,8,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[2,6,1,5,4,7,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,8,4,1,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,2,8,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,2,3,7,1,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,8,7,3,1,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,6,7,4,1,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,6,7,8,1,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,6,3,7,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,5,2,6,4,3,8]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,2,6,1,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,6,2,7,4,3]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,4,6,7,1,5]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,6,1,8,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,4,8,6,3,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,1,8,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,2,1,6,4,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,2,1,8,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,2,4,3,5,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,8,2,1,5,7,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,8,1,6,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,2,7,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,8,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,8,2,1,6,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[9,1,3,4,5,6,7,8,2]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[3,6,7,4,5,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,4,6,2,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,6,2,4,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,2,5,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,8,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,3,1,5,6,2]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,7,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,7,1,8,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,7,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,2,6,4,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,4,6,8,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,5,6,8,3,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,7,4,8,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,6,4,5,7,3]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,7,2,5,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,7,1,5,4,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,6,5,8,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,8,4,5,6,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,8,11,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,2,7,4,5,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,3,2,5,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,4,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,5,1,8,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,4,6,2,8,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,5,2,1,6,8,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,1,2,6,3,7,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,2,1,3,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,6,8,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,8,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,7,8,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,1,6,8,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,8,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,7,6,4,1,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,8,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,2,1,4,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[10,1,5,2,3,4,6,7,8,9]=>[[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]],.]=>([(0,8),(1,6),(2,7),(3,4),(3,7),(4,9),(5,6),(5,9),(8,9)],10)
[10,1,2,5,3,4,6,7,8,9]=>[[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]],.]=>([(0,8),(1,6),(2,7),(3,4),(3,7),(4,9),(5,6),(5,9),(8,9)],10)
[4,1,5,6,7,8,9,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,6,3,2,1,5,4,7]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,3,2,4,1,7,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,4,3,6,8,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,4,6,3,2,7]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,6,3,4,2,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,3,6,1,5,2,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,5,2,1,7,6]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,2,8,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,1,4,3,7,2,6]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,2,1,3,7,6]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,6,1,8,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,4,1,5,8,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,6,3,7,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,8,2,6,7,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,5,1,7,6,3,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,4,6,3,7,1,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,2,6,4,3,5,8,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,2,4,5,8,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,2,1,4,6,5]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,1,3,2,8,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,8,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,5,7,4,3,8,1]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,4,8,7,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,4,8,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,7,6,8,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,6,2,8,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,6,3,8,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,8,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,5,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,8,2,5,6,4,3]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,8,7,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,7,4,8,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,7,8,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,3,1,8,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,3,1,8,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,4,2,5,8,7,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,8,4,6,2,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,3,5,8,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,4,2,8,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,4,2,1,5,6,3]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,3,5,1,4,6,7]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,4,1,3,2,6,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,8,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,8,5,7,6,2,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,5,8,4,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,8,3,4,2,7]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,1,3,2,4,8]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,6,1,7,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,8,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,5,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,4,5,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,5,3,4,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,8,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,8,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,5,6,3,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,6,5,3,7,4]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,1,7,2,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,8,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,2,3,5,7,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,4,6,5,7,3]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,8,3,7,4,6,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,1,5,4,6,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,1,5,3,6,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,3,4,6,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,4,2,5,3,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,4,3,6,2,7,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,1,6,3,2,4,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,2,6,3,4,5,8]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,1,4,6,2,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,5,4,2,3,8]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,5,2,4,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,8,4,7,2,6,5]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,1,3,2,8,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,2,6,8,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,3,1,7,2,8,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,6,5,8,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,2,8,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,3,7,8,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,7,6,2,4,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,8,7,2,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,7,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,3,7,1,4,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,6,5,4,1,3,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,5,8,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,6,1,5,8,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,8,7,6,5,4,2,3,1]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,9,8,7,6,5,4,1]=>[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,3,2,4,5,6,7,8]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,8,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,4,6,5,1,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,3,6,5,8,7,10,9,1]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[7,2,6,1,5,8,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,8,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,3,8,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,4,6,3,5,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,5,7,2,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,2,8,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,8,3,6,2,1,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,6,2,7,5,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,3,4,5,1,6]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,5,2,4,6,3,7]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,3,4,5,7,2]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,1,2,4,6,7,3]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,7,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,5,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,2,4,6,7,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,7,5,8,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,1,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,2,1,4,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,8,5,3,7,6,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,5,3,8,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,5,1,8,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,8,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,3,7,2,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,3,6,8,7,2,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,2,8,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,2,6,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,8,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,3,8,5,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,5,8,7,6,2,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,6,5,7,3,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,8,6,5,7,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,6,4,5,8,3]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,6,5,1,8,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,5,6,3,1,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,2,1,8,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,3,2,5,1,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,3,8,7,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,5,3,8,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,2,5,4,6,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,6,1,8,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,6,2,7,3,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,4,6,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,5,8,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,4,8,7,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,4,1,3,7,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,2,4,3,6,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,7,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,8,1,5,2,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,6,7,2,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,8,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,8,6,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,5,7,2,6,3,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,8,2,7,3,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,1,3,6,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,7,8,3,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,3,4,2,6,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,2,3,6,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,7,3,2,8,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,4,6,1,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,3,8,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,6,8,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,8,5,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,7,8,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,6,3,1,2,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,3,2,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,1,2,5,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,2,8,5,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,2,1,8,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,8,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,5,2,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,4,7,2,8,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,7,2,1,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,3,7,8,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,8,2,9,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,8,9,2,10,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,4,5,6,7,8,3,9,2]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,4,8,6,3,2,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,8,6,2,5,7,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,2,5,3,8,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,4,8,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,1,5,8,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,2,6,5,8,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,5,8,7,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,7,4,6,2,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,8,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,8,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,8,3,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,1,8,7,6,3,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,8,4,7,2,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,7,5,1,6,4]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,7,6,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,5,6,2,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,4,6,1,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,8,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,5,6,1,4,7]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,5,6,8,2,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,3,4,6,1,7,5]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,4,3,5,2,8,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,4,3,8,1,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,2,7,6,4,1,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,6,2,1,8,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,6,2,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,1,4,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,1,6,8,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,6,7,2,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,7,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,4,6,5,3,8]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,2,6,5,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,6,8,7,3,1]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,5,1,6,3,7,4]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,4,5,1,6,7,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,1,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,6,4,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,8,5,4,6,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,7,6,8,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,5,8,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,3,1,5,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,1,8,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,7,4,3,8,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,3,8,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,5,7,6,3,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,2,6,3,5,9,8,1,10]=>[[[[.,.],[.,.]],[[.,.],.]],[[.,.],[.,.]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(5,9),(6,9),(7,9)],10)
[1,10,9,8,7,2,3,4,5,6]=>[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,6,7,3,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,8,2,6,7,5,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,2,4,5,8,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,4,3,2,5,7,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,6,5,3,1,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,1,6,8,7,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,8,6,2,7,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,5,4,2,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,2,7,5,6,1,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,5,7,4,2,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,3,7,5,4,6,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,8,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,6,3,5,7,4,1]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,8,2,5,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,5,2,3,4,8,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,4,8,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,5,8,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,2,1,8,4,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,3,8,1,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,2,8,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,4,7,3,2,8,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,5,4,8,6,1,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,4,7,5,1,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,7,4,8,1,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,7,6,1,5,8,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,4,1,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,1,2,5,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,1,6,8,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,6,3,5,2,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,8,6,2,3,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,6,2,8,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,3,4,8,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,4,2,7,8,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,2,3,7,4,1,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,3,1,8,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,3,7,4,1,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,5,3,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,6,4,8,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,5,1,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,3,6,1,8,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,8,3,1,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,5,3,6,2,8]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,5,3,2,6,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,4,7,3,5,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,6,4,8,2,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,7,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,7,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,6,1,4,3,7,2]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,7,8,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,5,8,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,3,2,5,7,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,8,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,7,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,6,7,8,1,5,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,8,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,7,5,8,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,3,2,6,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,5,3,6,1,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,3,2,4,7,6]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,3,2,7,4,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,8,2,4,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,7,8,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,8,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,7,8,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,3,7,5,6,2]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,5,3,2,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,6,4,1,5,3]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,4,3,8,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,2,7,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,6,3,4,1,7,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,2,8,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,8,3,6,7,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,2,8,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,5,7,1,3,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,7,2,1,5,8,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,7,1,3,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,1,7,4,6,3,5]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,8,3,6,7,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,8,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,5,6,8,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,8,7,3,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,3,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,3,1,7,8,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,6,8,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,7,8,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,3,8,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,7,8,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,8,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,8,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,8,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,6,4,8,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,3,4,7,8,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,1,8,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,3,7,5,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,3,7,8,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,4,2,3,5,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,5,8,6,4,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,4,7,2,8,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,2,4,8,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,4,3,6,8,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,4,6,2,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,6,1,7,4,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,1,8,5,2,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,5,6,2,7,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,5,3,1,7,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,5,8,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,8,6,1,7,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,2,3,8,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,1,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,6,1,2,8,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,6,5,1,8,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,2,6,8,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,5,2,8,1,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,3,8,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,4,8,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,3,8,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,8,6,2,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,6,8,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,1,5,8,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,3,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,2,4,1,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,8,4,1,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,1,2,4,3,6,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,3,5,7,2,6,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,2,3,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,8,2,4,7,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,1,4,6,3,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,3,7,4,2,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,6,2,8,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,6,2,8,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,8,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,8,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,9,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,2,4,6,5,3,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,7,2,6,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,8,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,7,4,3,5,8,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,8,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,2,3,5,8,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,5,2,3,6,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,8,5,2,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,7,5,2,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,7,4,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,5,2,7,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,7,5,3,2,6]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,8,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,7,5,8,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,8,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,5,8,7,6,2,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,2,4,3,6,8,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,7,4,3,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,3,2,6,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,2,6,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,8,6,3,2,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,5,2,6,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,6,3,2,8,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,3,2,8,5,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,8,6,4,2,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,7,4,2,3,8,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,5,4,2,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,6,3,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,2,7,5,4,1,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,6,7,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,3,6,8,5,4,1]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,8,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,2,4,6,7,3,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,8,7,1,4,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,6,5,8,2,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,1,6,7,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,1,6,8,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,6,4,7,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,4,7,2,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,2,5,3,1,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,4,5,2,1,7,6]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,4,7,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,7,2,8,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,7,2,4,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,4,7,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,2,6,7,4,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,3,6,5,2,8,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,4,5,7,6,3]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,5,2,3,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,5,4,2,8,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,3,6,5,1,8,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,1,3,7,4,2]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,6,2,4,8,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,1,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,6,1,7,5,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,6,4,7,3,5,1]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,1,4,6,5,3,2]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,8,6,7,1,4,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,4,6,8,5,3,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,5,8,6,2,4,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,6,8,1,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,4,7,8,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,8,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,8,3,4,7,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,8,7,1,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,3,8,2,9,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,3,4,8,6,2,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,3,7,2,8,1,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,7,4,8,3,9,2,10,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,8,6,2,7,1]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,3,8,2,9,1,10]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,4,2,3,6,1,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,4,3,6,8,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,7,6,8,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,7,2,3,5,6]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,2,6,3,1,4,5]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,6,4,5,2,3]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,3,7,2,8,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,4,7,6,2,1,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,7,5,2,4,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,5,8,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,2,8,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,1,8,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,5,6,7,1,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,1,4,7,5,6]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,1,8,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,2,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,1,4,2,3,6,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,1,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,4,7,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,1,2,4,7,8,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,8,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,1,6,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,4,6,8,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,2,7,3,4,8]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,6,4,5,8,3]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,3,6,4,5,8,2]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,3,6,4,5,7,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,2,7,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,2,5,3,4,8]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,5,3,4,7]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,5,3,4,6]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,7,4,5,6,3]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,7,4,5,6,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,7,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,2,6,4,5,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,2,8,5,6,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,2,7,4,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,7,4,2,3,5,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,8,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,8,2,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,2,5,3,4,8]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,2,6,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,3,7,4,5,8,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,3,5,1,6,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,8,6,3,5,1,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,7,5,4,1,6,8]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,6,2,1,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,2,1,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,3,5,1,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,1,5,8,4,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,1,6,5,8,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,1,3,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,7,8,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,1,4,6,3,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,7,1,6,3,5,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,7,1,6,5,4,8]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,7,1,4,3,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,7,3,1,4,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,4,7,2,1,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,7,1,5,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,2,8,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,5,7,1,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,5,4,1,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,8,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,1,4,6,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,7,1,6,3,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,1,6,8,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,3,4,5,6,1,9,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[8,6,5,1,2,4,3,7]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,1,4,2,3,5,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,4,8,3,2,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,1,4,2,3,6]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,2,5,3,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,5,1,4,2,6,3]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,4,2,5,3,7]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,1,4,3,2,6,5]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,7,4,5,6,1]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,5,2,4,3,6,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,5,7,3,1,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,4,5,3,1,6,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,5,1,3,2,6,7]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,5,2,1,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,4,3,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,5,7,3,2,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,1,4,7,2,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,1,4,7,8,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,7,1,5,2,6,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,6,4,2,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,3,1,7,2,5,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,4,3,1,5,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,1,7,3,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,2,7,4,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,4,1,3,6,8,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,2,5,7,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,5,7,1,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,2,5,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,1,7,3,5,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,6,3,5,7,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,3,2,5,7,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,2,1,4,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,6,4,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,1,6,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,5,2,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,3,7,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,3,4,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,7,6,1,8,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,6,1,7,4,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,7,8,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,4,5,8,1,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,1,8,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,6,2,3,4,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,2,1,4,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,6,2,1,3,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,5,8,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,4,2,5,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,2,4,3,8,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,2,5,7,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,5,3,6,1,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,4,5,6,2,3]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,8,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,4,3,7,6,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,5,3,1,2,8,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,6,2,8,3,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,3,1,7,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,6,7,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,1,8,6,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,7,1,6,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,5,3,6,7,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,6,3,5,4,7,1]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,8,6,4,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,1,6,4,8,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,4,7,2,6,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,5,6,4,7,3]=>[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,4,8,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,6,1,3,7,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,2,5,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,3,7,6,2,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,7,6,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,6,2,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,7,5,4,8,1]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,1,3,8,6,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,1,4,7,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,6,3,4,2,5]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,5,8,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,3,4,6,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,4,2,5,7,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,3,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,5,2,4,1,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,5,7,3,6,1,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,1,6,4,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,3,4,2,7,8]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,3,2,6,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,8,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,8,4,5,3,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,8,5,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,4,2,1,6,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,4,7,3,6,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,8,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,6,3,5,2,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,8,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,3,8,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,1,8,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,3,6,8,2,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,6,8,2,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,7,5,8,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,5,2,8,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,4,2,1,8,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,7,4,2,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,2,7,8,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,3,4,2,5,8]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,5,4,6,1,3,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,4,5,6,3,8]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,1,5,6,4,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,2,1,7,5,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,3,1,5,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,4,7,5,3,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,8,5,6,4,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,8,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,4,5,3,2,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,6,4,3,2,8]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,8,6,2,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,3,2,8,1,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,5,6,7,4,3,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,5,3,4,7,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,3,2,4,1,8,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,3,6,8,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,2,8,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,4,6,5,7,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,3,8,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,7,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,4,5,2,7,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,4,1,2,3,7,5]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,4,2,5,7,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,2,5,3,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,4,1,5,7,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,4,7,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,4,1,5,2,3,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,7,5,8,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,4,6,5,2,3]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,6,4,5,1,2]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,6,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,10,1,2,3,4,5,9,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,8,1,9,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,1,2,3,4,5,7,8,9]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,2,3,4,6,7,8,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,1,2,3,5,6,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,4,5,1,2,8,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,1,8,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,4,2,3,8,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,8,2,5,1,7,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,2,3,7,1,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,2,1,7,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,8,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,1,6,8,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,1,7,4,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,1,8,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,4,1,7,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,3,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,8,4,7,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,8,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[9,8,2,3,4,5,6,7,1]=>[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,9,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,7,6,4,5,3,2,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[3,4,7,8,5,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,2,5,6,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,6,4,5,8,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,3,6,8,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,6,5,1,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,2,6,4,7,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,4,7,1,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,8,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,7,8,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,4,2,6,1,7,3]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,8,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,5,1,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,2,8,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,1,3,8,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,5,3,8,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,6,8,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,8,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,4,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,1,7,2,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,3,1,2,8,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,6,1,8,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,8,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,3,1,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,8,7,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,7,4,6,5]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,7,4,5,6]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,3,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,7,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,7,3,2,5,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,1,6,2,7,5,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,2,8,7,6,4,5]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,7,6,4,5]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,3,1,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[1,6,3,7,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,8,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,4,2,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,3,1,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,1,3,5,7,4,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,8,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,5,7,1,2,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,7,2,5,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,6,5,8,2,1,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,6,7,8,3,5,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,5,7,6,3,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,6,8,5,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,8,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,8,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,2,4,6,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,7,6,3,2,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,6,3,2,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,3,2,4,7,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,2,4,8,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,7,5,2,4,6,3]=>[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,2,4,6,3,8]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,2,5,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,7,5,2,6,3]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,2,3,6,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,2,6,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,3,7,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,2,7,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,5,2,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,6,4,8,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,7,6,4,2,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,2,4,8,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,8,7,5,2,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,4,6,3,2,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,3,2,8,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,6,4,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,3,2,8,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,5,2,7,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,3,5,2,8,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,3,7,5,2,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,1,5,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,2,6,4,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,2,6,5,7,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,4,8,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,7,1,4,3,8,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,1,2,4,8,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,5,7,6,2,1]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,4,2,8,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,6,2,4,8,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,5,2,3,8,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,5,3,8,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,4,8,5,7,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,1,4,2,6,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,6,2,5,3,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,8,2,6,3,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,1,8,2,6,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,5,2,6,3,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,4,2,7,3,8]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,4,5,2,3,6]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,7,8,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,3,1,6,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,4,5,2,8,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,2,3,1,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,2,1,8,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,3,5,8,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,6,4,5,1,7,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,6,7,1,5,3]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,6,3,1,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,8,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,3,7,2,8,6,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,4,5,3,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,1,4,5,7,6]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,7,2,8,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,2,1,5,6,7,4]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,6,7,8,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,6,3,8,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,4,1,3,8,2,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,1,8,7,6,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,4,2,7,8,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,4,5,1,6,3,2]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,8,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,4,3,7,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,8,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,3,6,5,8,10,9,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,6,8,7,5,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,1,4,6,5,3,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,1,4,6,5,3,8,10,9,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,4,3,1,6,5,8,10,9,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,4,3,1,6,8,7,5,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,6,5,8,7,10,12,11,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,4,3,6,5,8,10,9,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,4,3,6,8,7,5,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,4,3,6,8,7,5,10,12,11,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,4,6,5,3,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,4,6,5,3,8,7,10,12,11,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,1,4,6,5,3,8,10,9,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,4,3,1,6,5,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,4,3,1,6,5,8,7,10,12,11,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,4,3,1,6,5,8,10,9,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,4,3,1,6,8,7,5,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[2,4,3,1,6,8,7,5,10,12,11,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[8,1,6,7,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,3,6,8,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,4,6,5,3,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,4,7,6,5,2,3]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,7,6,5,4,3]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,8,6,1,5,7,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,5,8,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,8,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,4,5,3,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,5,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,5,6,1,8,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,8,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,5,3,6,1]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,2,6,8,7,4,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,8,2,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,5,8,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,4,5,8,6,3,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,3,5,4,7,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,5,4,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,7,5,2,4,8,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,4,7,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,2,5,8,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,4,3,7,5,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,5,4,7,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,2,6,4,8,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,2,3,6,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,2,6,8,5,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,3,2,7,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,2,7,5,3,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,6,2,4,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,7,3,2,6,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,8,4,2,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,7,4,2,6,5,8,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,5,8,3,7,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,8,3,2,5,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,8,3,2,7,5,6]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,6,4,5,2,7]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,7,3,2,8,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,3,7,4,5,6,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,1,6,8,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,1,5,4,8,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,3,2,1,8,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,3,4,6,1,5]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,3,7,2,8,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,3,4,5,2,6]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,1,2,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,3,4,6,2,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,6,5,4,3,8,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,3,6,4,5,8,2]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,3,6,4,8,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,3,7,8,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,7,3,8,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,3,2,4,7,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,3,4,7,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,5,6,1,2,9,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,1,6,7,8,2,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,1,7,8,9,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,1,7,8,9,10,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,3,5,2,6,7,8,9,4]=>[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[3,2,5,8,7,4,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,8,7,3,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,4,1,6,5,2,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,8,5,7,2,1,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,8,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,7,3,1,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,4,3,8,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,2,6,8,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,3,8,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,4,5,7,3,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,1,8,7,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,8,7,1,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,3,8,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,4,7,1,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,4,8,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,6,5,8,7,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,5,3,6,7,1,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,3,4,7,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,1,3,6,4,5,8]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,3,5,4,6,2]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,4,8,5,7,1,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,4,7,5,6,3]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,8,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,1,5,7,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,2,8,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,4,1,5,3,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,3,4,8,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,1,4,6,7,5]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,6,5,1,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,7,6,5,2,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,7,2,6,3,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,2,6,3,5,4]=>[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,2,1,4,3,5,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,7,1,6,3,4,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,7,6,5,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,1,8,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,8,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,5,3,2,8,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,4,1,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,7,5,4,8,6,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,5,6,3,1,8,2,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,6,3,8,4,2,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,5,3,8,4,1,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,3,8,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,6,2,8,4,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,5,4,8,1,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,4,8,2,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,1,2,8,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,8,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,3,4,6,5,7,8,9]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,2,3,5,4,6,7,8,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[6,8,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,6,7,5,2,3]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,8,1,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,8,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,6,7,4,5,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,2,8,1,6,7,5,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,2,6,4,7,5,3]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,1,6,2,7,5,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,2,6,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,1,6,7,5,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,4,6,1,7,5,3]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,1,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,4,7,6,3,1,2,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,4,8,1,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,4,1,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,4,2,3,5,6]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,4,1,5,2,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,5,7,1,3,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,1,3,2,8,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,8,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,3,6,7,1,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,7,8,3,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,3,5,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,4,8,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,5,4,8,7,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,7,3,5,6,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,2,5,7,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,5,6,8,3,1,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,8,6,2,1,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,8,6,3,7,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,4,5,9,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,3,7,2,1,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,6,2,5,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,3,6,2,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,5,6,4,1,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,5,6,2,1,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,5,6,2,4,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,5,6,4,1,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,3,6,7,8,9,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,2,5,6,7,8,9,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,3,6,2,4,7,8,9,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,4,3,2,6,7,8,9,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,4,3,7,2,5,8,9,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[7,5,4,3,8,2,6,9,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[7,6,5,4,3,2,8,9,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,6,5,4,3,9,2,7,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,3,2,5,6,7,8,9,10,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,4,3,2,6,7,8,9,10,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,5,4,3,2,7,8,9,10,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,4,3,2,8,9,10,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,7,6,5,4,3,2,9,10,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,7,6,5,4,3,10,2,8,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[10,1,9,2,8,3,7,4,6,5]=>[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,5,6,3,8,2,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,3,8,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,3,5,7,8,1,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,6,3,7,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,5,3,6,2,8,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,7,3,4,2,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,8,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,5,3,7,2,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,3,8,2,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,4,2,7,8,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,4,2,8,7,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,5,4,2,8,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,6,8,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,2,7,4,9,6,11,8,10,12]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,11),(1,8),(2,8),(3,9),(4,10),(5,7),(6,7),(6,11),(8,10),(9,10),(9,11)],12)
[5,4,7,1,8,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,8,2,6,5,3,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,1,3,6,2,4,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,8,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,8,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,6,8,7,3,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,6,8,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,7,3,4,1,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,5,7,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,7,2,8,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,1,8,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,2,6,4,8,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,8,6,7,4,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,8,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,5,8,1,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,7,8,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,6,8,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,8,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,8,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,8,2,3,7,1]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,8,7,1,6,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,8,3,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,8,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,6,7,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,7,3,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,8,5,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,8,7,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,7,8,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,8,3,9,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,2,3,4,5,1,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,6,7,4,8,9,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,7,8,9,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,1,2,3,5,4,8]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,5,1,6,3,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,4,2,1,5,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,7,5,2,6,4,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,5,1,2,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,3,7,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,7,4,2,6,5,1]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,3,2,4,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,7,2,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,1,4,3,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,2,4,6,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,3,2,6,1,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,1,4,6,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,8,3,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,6,1,2,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,7,1,8,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,8,5,2,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,7,8,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,3,8,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,7,8,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,7,8,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,2,3,4,5,8,6,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,1,2,3,4,7,5,8,9]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,2,3,6,4,7,8,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,1,2,5,3,6,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,2,6,3,8,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,6,5,3,7,4]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,4,6,1,2,7,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,8,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,3,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,5,3,1,6,7,2]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,1,6,7,4,5]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,1,7,4,3,5,6]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,6,8,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,5,1,6,8,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,7,4,8,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,3,2,5,6,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,4,3,6,2,5,8]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,5,8,2,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,1,6,3,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,4,6,2,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,4,5,7,2,6,1]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,7,5,6,2,1]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,8,6,3,7,5,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,7,6,3,8,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,8,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,8,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,8,6,7,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,2,1,8,7,3,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,3,8,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,3,7,4,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,1,2,5,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,7,8,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,5,8,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,7,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,7,5,2,1,6,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,5,6,2,7,4,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,8,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,3,2,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,5,6,8,7,3,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,2,3,6,7,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,1,2,4,5,7,8,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,7,6,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,8,6,2,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,2,4,5,8,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,3,7,4,5,6,2]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,3,6,4,7,2]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,8,3,1,5,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,4,1,5,8,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,1,4,6,2,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,5,2,8,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,4,7,3,6,2]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,5,4,1,8,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,4,7,6,3,2]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,4,6,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,1,5,7,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,5,2,8,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,5,2,8,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,2,4,3,5,8,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,1,7,4,2,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,7,4,3,5,6,2]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,5,3,6,1,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,3,1,4,7,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,3,2,7,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,7,3,1,8,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,3,5,6,4,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,7,4,8,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,1,3,5,4,6,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,8,6,4,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,4,1,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,5,2,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,5,2,8,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,3,5,7,4,2,6]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,8,5,4,7,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,4,8,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,3,4,2,6,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,6,4,1,5,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,2,1,8,3,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,1,8,7,3,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,2,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,7,3,2,5,6]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,1,5,7,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,3,1,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,3,2,6,4,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,2,5,3,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,1,7,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,1,8,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,6,7,3,2,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,1,6,5,8,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,4,1,6,7,3,2]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,1,6,4,7,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,3,5,7,8,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,8,5,2,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,4,6,1,7,3,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,7,2,3,6,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,1,4,2,5,8,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,7,8,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,5,1,6,2,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,3,5,4,1,2,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,2,6,1,5,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,7,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,7,6,3,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,7,4,3,6,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,8,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,8,3,2,7,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,7,6,5,2,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,7,2,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,7,2,6,4,1,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,5,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,7,4,6,1,2,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,6,3,5,4,1,2]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,7,6,1,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,4,8,3,1,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,8,2,1,3,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,7,2,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,7,6,3,5,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,3,7,6,5,2,4]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,8,7,2,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,4,6,2,3,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,3,6,2,5,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,1,7,6,2,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,8,3,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,4,8,1,7,3,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,2,4,8,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,2,6,3,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,5,8,3,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,1,4,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,3,4,8,7,1]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,3,4,7,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,7,8,5,1,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,2,4,7,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,4,8,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,8,6,2,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,2,7,6,3,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,3,1,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,5,3,8,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,6,1,3,7,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,4,5,1,3,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,5,1,3,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,2,3,6,8,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,6,7,4,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,3,6,4,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,6,8,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,8,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,6,8,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,4,8,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,1,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,8,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,2,8,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,8,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,2,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,8,1,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,8,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,4,3,8,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,8,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,8,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,7,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,2,8,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,3,5,2,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,8,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,6,2,5,7,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,5,2,7,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,1,4,5,3,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,1,5,7,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,4,7,9,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,2,4,6,8,3,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,5,8,2,6,7,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,3,7,2,8,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,8,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,3,6,7,2,5]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,8,4,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,2,6,4,3,7]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,4,2,8,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,7,2,3,6,8,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,2,6,7,8,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,1,6,4,2,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,3,4,7,8,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,5,7,6,2,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,4,2,7,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,3,7,6,1,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,7,6,5,2,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,6,8,3,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,1,5,6,3,8,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,1,8,6,2,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,2,8,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,4,3,7,6,5]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,1,8,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,1,8,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,3,1,8,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,8,6,2,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,6,3,2,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,4,2,8,6,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,8,5,3,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,6,4,2,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,8,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,2,4,8,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,3,8,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,8,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,4,1,7,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,4,2,7,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,7,2,8,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,1,7,5,3,6,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,7,6,4,3,5]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,7,8,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,7,8,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,7,6,3,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,2,6,3,5,1,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,5,7,1,6,2,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,3,6,2,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,2,5,3,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,5,3,2,7,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,1,5,4,3,7,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,8,5,4,6,2,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,7,1,6,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,5,7,1,6,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,8,5,3,6,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,8,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,8,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,8,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,8,4,5,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,6,8,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,8,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,8,5,2,6,3,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,6,8,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,8,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,9,2,10,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,2,7,3,5,8,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,4,8,5,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,8,4,7,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,8,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,3,7,6,5,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,8,2,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,2,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,3,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,8,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,1,8,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,8,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,2,7,4,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,8,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,8,7,6,3,5,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,6,3,2,8,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,6,3,4,1,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,3,1,2,8,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,2,1,7,5,6,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,8,5,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,4,8,6,2,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,7,5,3,6,4]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,1,6,7,3,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,8,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,8,7,6,2,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,2,7,8,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,3,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,4,5,6,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,6,7,8,10,9,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]=>([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,2,3,4,5,7,8,6,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[2,1,3,4,5,6,7,10,8,9]=>[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,2,5,6,8,4,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,5,2,6,3,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,6,4,8,3,7,1]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,4,7,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,7,3,8,1,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,3,1,6,8,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,6,8,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,4,6,8,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,3,6,5,8,7,10,9,12,11,1]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[4,7,2,5,6,3,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,1,3,7,8,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,5,8,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,1,6,8,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,1,8,3,2,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,1,7,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,7,8,5,1,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[10,2,3,4,5,6,7,8,1,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,8,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,1,8,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,6,4,8,3,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,3,7,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,9,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,2,3,1,9,5,6,4,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,5,2,8,6,1,3,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,8,2,5,6,1,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,5,8,4,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,7,2,8,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,3,6,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,5,2,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,5,1,6,3,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,8,4,7,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,8,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,8,7,4,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,1,3,8,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,2,3,5,7,4]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,7,8,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,7,6,2,8,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,6,7,4,2,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,8,6,7,3,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,4,2,8,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,2,6,8,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,5,2,7,8,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,6,2,7,8,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,6,4,2,7,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,1,8,5,7,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,2,3,1,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,7,8,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,7,6,8,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,7,2,8,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,7,8,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,2,7,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,9,1,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,5,9,3,8,7,6,4]=>[.,[.,[[.,[.,.]],[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[3,9,1,8,7,6,5,4,2]=>[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,7,3,1,5,2,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,3,6,5,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,3,1,5,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,3,8,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,3,1,8,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,1,7,4,5,6]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,2,1,4,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,9,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,4,6,7,8,9,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,6,8,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,7,3,5,6,4]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,4,8,6,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,2,6,1,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,8,5,2,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,2,6,5,3,4,7]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,4,2,5,6,1,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,8,6,7,5,1]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,8,6,1,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,5,2,7,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,8,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,6,3,5,7,4]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,4,2,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,2,8,5,1,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,3,2,5,6,7,8,9]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,8,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,4,3,7,6,2,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,8,7,1,2,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,4,5,7,6,2,3]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,8,5,7,1,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,4,8,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,4,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,7,1,4,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,7,1,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,8,3,1,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,5,1,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,8,7,4,1,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,6,8,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,8,1,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,1,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,8,1,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,7,8,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,7,8,6,3,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,6,8,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,6,7,1,3,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,8,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,6,8,2,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,8,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,8,2,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,6,8,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,3,4,2,1,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,5,3,8,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,6,2,5,4,7,3]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,1,7,5,2,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,7,4,8,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,5,1,4,3,7,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,5,6,1,7,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,4,7,2,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,5,7,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,6,2,7,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,6,5,8,4,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,5,8,7,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,5,8,7,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,6,4,8,7,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,6,8,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,4,7,5,8,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,7,5,8,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,5,8,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,7,2,8,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,2,8,5,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,6,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,6,8,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,2,8,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,4,8,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,3,8,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,6,8,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,6,8,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,6,8,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,7,5,8,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,7,3,2,5,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,8,2,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,2,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,5,8,3,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,3,2,5,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,4,1,5,3,2]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,5,2,6,4,7,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,3,4,8,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,5,3,7,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,3,6,2,4,1,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,2,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,6,3,7,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,6,2,3,8,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,7,5,6,1]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,5,7,6,4,2,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,3,8,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,2,5,6,3,8,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,7,5,3,8,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,8,3,7,5,6,1]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,7,5,6,2,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,5,8,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,8,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,5,6,3,7,4,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,3,7,1,2,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,8,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,2,8,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,1,3,2,6,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,3,8,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,8,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,8,6,4,7,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,6,4,5,7,1]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,1,8,7,3,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,8,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,8,6,7,5,4,1]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,8,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,1,8,6,4,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,3,8,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,3,8,6,4,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,8,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,8,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,8,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,8,2,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,8,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,7,8,4,2,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,2,5,3,4,7,8]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,7,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,1,6,5,3,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,2,5,1,3,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,2,6,8,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,7,5,4,2,6,3]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,4,3,7,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,8,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,4,5,6,9,8,7,1]=>[[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,7,10,9,8,1]=>[[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,4,5,1,3,7,6,2]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,3,7,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,1,8,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,6,7,1,2,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,7,3,1,4,8,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,5,7,8,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,5,8,7,6,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,3,2,5,6,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,6,8,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,8,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,7,1,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,4,2,3,6,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,3,6,4,5,2,8]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,8,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,7,3,6,5,4]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,3,1,2,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,4,1,3,7,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,5,7,6,3,2,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,7,6,3,2,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,2,1,8,7,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,1,5,4,3,8,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,2,6,7,8,5,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,5,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,6,7,8,4,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,2,4,3,5,7]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,4,5,7,8,1,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,7,5,8,6,1]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,8,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,2,8,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,3,7,5,1,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,7,2,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,7,8,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,2,7,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,8,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,2,8,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,7,4,3,8,6,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,3,7,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,8,6,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,8,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,3,7,4,2,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,6,4,3,2,8,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,7,4,3,8,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,4,2,3,8,7,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,3,2,4,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,4,2,3,7,8,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,6,3,5,8,4]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,2,6,5,7,4]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,7,2,8,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,5,6,1,8,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,6,1,3,2,8,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,4,1,8,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,1,6,3,8,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,6,1,4,3,8,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,6,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,4,8,5,7,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,8,3,6,5,7,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,4,3,5,2,7,6]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,4,1,6,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,3,4,1,8,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,6,8,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,6,1,8,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,1,8,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,1,6,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,2,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[8,3,6,5,4,1,2,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,8,4,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,7,1,2,8,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,4,2,3,8,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,5,3,7,6,4]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,2,4,1,7,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,5,2,4,1,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,2,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,8,6,7,1,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,1,6,2,5,8,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,7,2,5,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,5,1,7,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,2,7,8,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,2,5,8,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,5,1,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,4,3,6,7,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,3,8,6,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,8,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,3,1,2,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,8,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,9,1,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[6,2,3,7,1,4,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,2,8,1,3,5,7,9]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[4,6,7,8,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,2,7,1,3,5,8,9]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,6,2,7,9,1,3,5,8,10]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,8),(5,8),(5,9),(6,7),(6,9)],10)
[8,6,3,2,1,7,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,6,7,8,2,9,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,7,1,8,2,9,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,7,10,8,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[6,1,3,4,2,5,8,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,6,2,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,7,6,8,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,3,8,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,1,4,3,7,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,6,1,8,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,6,3,7,8,4,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,3,5,6,1,8,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,1,5,8,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,3,7,8,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,6,3,5,4,2]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,6,1,8,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,2,8,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,4,1,2,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,1,3,8,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,3,8,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,4,7,2,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,6,1,3,8,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,6,3,8,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,3,7,6,2,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,3,7,2,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,2,4,8,1,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,2,6,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,2,7,1,3,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,1,4,7,2,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,4,8,7,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,1,4,3,6,5,8,10,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,1,4,3,6,8,5,10,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,1,4,6,3,8,5,10,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[6,1,3,4,2,7,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,3,7,8,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,3,8,4,2,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,1,8,3,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,7,4,2,6,8,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,8,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,1,3,2,6,7,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,7,3,2,5,6,4]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,5,2,7,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,6,8,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,4,5,6,7,10,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,6,2,3,7,4,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,7,3,5,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,8,5,3,6,7,2]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,3,1,8,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,1,2,7,8,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,7,5,1,2,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,4,7,3,8,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,3,4,8,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,6,3,1,5,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,3,5,1,4,7]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,4,1,5,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,1,7,2,5,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,5,1,3,8,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,1,3,6,7,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,6,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,1,3,6,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,3,6,2,5,7,4]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,3,8,4,7,2]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,1,3,7,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,8,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,8,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,8,1,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,8,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,3,8,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,8,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,5,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,5,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,5,8,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,3,5,6,4,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,8,5,6,4,2,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,5,8,6,4,2,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,8,6,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,2,6,5,3,4,7]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,5,2,3,4,7]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,1,6,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,2,3,8,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,8,4,1,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,3,5,6,7,2,4]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,5,3,4,7,6]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,2,5,8,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,7,3,4,8,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,5,4,1,3,6,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,6,5,1,8,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,3,5,1,4,7]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,6,4,5,3,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,7,6,3,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,8,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,8,5,2,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,7,6,2,4,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,3,7,4,1,8,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,5,4,6,8,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,6,4,2,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,4,5,7,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,4,7,2,3,6,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,8,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,2,3,6,8,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,1,6,4,2,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,1,8,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,4,1,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,3,5,7,1,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,3,7,4,6,5,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,1,7,4,5,6]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,7,8,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,2,6,5,7,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,8,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,1,6,5,3,7,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,7,6,3,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,2,5,7,6,8,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,5,1,7,8,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,5,2,3,4,7,6]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,8,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,8,7,6,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,5,6,4,8,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,6,4,1,7,5,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,1,5,8,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,6,1,7,5,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,6,5,1,7,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,2,1,5,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,2,6,5,8,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,2,1,7,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,1,7,5,8,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,5,1,7,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,5,7,6,8,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,6,2,1,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,7,6,8,3,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,6,5,2,8,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,6,5,1,7,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,5,2,1,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,6,4,2,8,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,5,3,1,7,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,5,7,6,8,9,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,2,3,5,4,6,7,8,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[5,8,1,4,2,3,6,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,3,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,8,1,7,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,6,8,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,1,8,6,4,7,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,2,8,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,5,6,8,3,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,4,6,2,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,8,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,1,6,5,7,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,5,6,8,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,5,6,8,4,7,3]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,6,8,4,7,2,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,8,1,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,1,4,5,7,2,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,1,8,6,7,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,5,6,8,4,7,2]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,8,2,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,2,4,8,7,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,2,8,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,5,3,4,8,7,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,3,2,1,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,6,3,5,4,2]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,1,7,8,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,7,1,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,1,4,8,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,1,7,5,6,4]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,3,1,7,5,6,2]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,7,8,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,3,1,8,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,6,3,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,7,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,6,7,8,9,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,5,2,6,7,8,9,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[3,4,2,1,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,1,2,5,6,7,8,9]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,1,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[3,4,2,1,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,5,2,1,3,6,7,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,2,5,1,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,5,1,2,6,7,8,9]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,6,5,3,8,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,3,8,1,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,3,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,7,5,2,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,4,5,7,3,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,1,5,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,5,1,4,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,8,2,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,7,3,4,2,5,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,2,5,8,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,7,6,3,5,1,4]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,1,5,6,4,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,2,8,1,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,7,3,8,2,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,8,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,4,5,6,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,1,4,5,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,3,8,5,1,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,1,8,4,6,5,7]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,1,7,6,8,4,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,1,8,4,6,7,5]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,5,1,8,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,4,5,6,7,10,9,1,8]=>[[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,8,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,2,8,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,3,4,5,6,8,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,6,8,7,9,1]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,6,8,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,8,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,1,4,5,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,6,2,7,5,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,5,3,1,4,8]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,1,7,6,2,5,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,1,2,8,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,5,3,1,8,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,2,3,1,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,3,7,5,2,6,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,3,2,7,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,1,3,2,6,8]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,5,6,3,1,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,4,1,3,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,4,1,3,2,6,8]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,8,4,5,3,1,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,3,7,4,1,6,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,1,6,3,2,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,3,2,4,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,1,6,3,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,6,2,4,3,7,8]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,8,7,6,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,6,7,5,4,2]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,2,6,7,4,5,3]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,6,4,7,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,5,3,6,7,4,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,8,3,4,7,6,5]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,2,7,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,5,2,1,8,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,7,6,3,1,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,5,1,4,6,3,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,8,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,4,7,2,8,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,3,6,4,2,5]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,5,8,3,2,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,2,4,7,8,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,7,4,3,8,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,3,4,8,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,6,8,3,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,5,3,8,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,3,7,4,5,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,3,2,7,5,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,2,6,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,2,7,1,5,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,3,6,4,7,8,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,5,3,6,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,5,2,4,7,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,2,4,6,3,5]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,2,5,4,3,6]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,2,7,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,4,2,8,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,2,3,5,8,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,8,3,6,5,4,7]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,6,5,2,4,7]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,7,3,2,8,6,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,6,5,2,4,7,3]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,2,6,5,3,8,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,3,2,8,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,2,8,4,7,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,3,7,2,4,6,5]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,2,8,7,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,3,2,5,7,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,2,1,6,5,8,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,6,1,5,8,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,2,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,7,5,8,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,6,2,8,7,1,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,7,8,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,1,3,7,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,7,2,6,4,8,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,7,6,5,8,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,6,7,8,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,1,6,5,8,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,4,3,6,7,8,1,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,5,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,3,7,8,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,1,4,3,5,8,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,2,4,3,7,8,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,5,4,2,3,6,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,4,6,3,8,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,2,6,5,3,8,4]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,1,2,4,8,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,5,2,3,6,8]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,4,8,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,5,7,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,7,5,8,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,4,7,8,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,3,7,5,4,6]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,1,2,4,7,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,7,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,8,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,1,2,4,6,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,1,2,4,5,7,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,2,4,7,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,4,2,3,5,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,7,4,8,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,8,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,5,4,3,2,7,9,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,6,5,4,3,2,7,1,8]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,7,6,5,4,3,2,9,1,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,2,3,4,5,6,1,7,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,5,6,7,8,9,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[4,3,8,5,6,2,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,6,7,2,5,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,8,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,6,1,5,3,8,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,4,8,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,5,4,7,1,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,6,7,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,6,5,7,4,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,1,8,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,8,2,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,6,4,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,6,2,1,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,8,5,6,1,3,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,5,6,1,3,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,8,4,2,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,3,1,4,7,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,2,4,6,3,1,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,3,2,1,6,4,5]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,3,4,6,5,2,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,6,5,2,4,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,2,8,6,5,7,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,2,7,5,4,6,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,4,5,3,6,2]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,7,4,6,3,5,1]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,4,6,3,1,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,4,1,2,5,7,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,3,2,5,7,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,8,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,8,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,6,4,7,2,3,1]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,2,6,5,8,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,8,5,7,4,2,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,5,2,4,8,3,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,7,5,6,3,4]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,3,4,6,1,5]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,5,4,8,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,8,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,5,1,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,1,4,3,2,8,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,1,4,8,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,1,3,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,6,3,2,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,7,6,8,4,2,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,7,3,2,8,5,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,7,6,8,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,8,5,2,7,6,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,8,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,3,1,8,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,4,7,3,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,5,7,2,4,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,5,7,4,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,1,6,3,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,1,5,7,4,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,5,2,4,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,1,4,2,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,1,7,2,4,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,2,1,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,3,6,1,7,2,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,7,6,1,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,5,3,1,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,6,3,7,2,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,3,7,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,7,1,4,2,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,1,4,7,2,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,5,7,1,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,5,1,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,6,5,3,7,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,7,6,1,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,4,7,6,1,2,5,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,7,6,3,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,6,5,2,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,7,2,1,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,7,6,2,4,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,2,6,3,7,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,2,7,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,2,1,7,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,8,2,1,4,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,8,2,4,6,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,2,1,4,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,8,2,4,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,8,2,4,6,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,1,4,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,4,6,3,1,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,4,3,6,1,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,4,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,8,4,6,7,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,4,6,7,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,2,4,6,3,7,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,6,7,2,1,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,4,6,7,2,5,1]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,3,6,7,2,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,6,7,2,1,5]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,4,5,3,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,6,4,5,7,2,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,5,3,1,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,6,4,2,3,5,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,1,6,2,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,2,1,4,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,2,4,1,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,2,4,5,7,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,6,2,4,5,1,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,3,6,2,4,5,7]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,7,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,6,7,2,1,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,8,4,6,7,5,2,3]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,2,3,7,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,7,2,1,3,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,1,6,3,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,1,5,3,7,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,4,7,3,6,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,5,8,4,7,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,5,8,7,3,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,1,6,7,4,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,7,8,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,2,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,5,3,6,4,7,1]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,8,6,4,7,3,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,2,7,8,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,8,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,3,7,1,4,6,5]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,1,5,3,6,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,5,6,4,2,8,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,8,4,2,7,6,5,1]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,3,2,7,5,6,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,8,7,5,6,1]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,8,1,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,6,8,1,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,1,6,4,5,2,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,6,5,4,2,7]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,3,6,2,1,8,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,8,6,3,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,1,5,3,4,8,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,2,3,1,4,8,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,2,4,6,8,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,2,7,3,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,8,6,4,7,5,3,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,1,5,8,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,7,3,1,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,8,7,6,4,2,5]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,1,7,4,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,4,7,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,6,3,8,5,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,8,6,4,7,5,3]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,5,6,7,9,1,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,5,6,7,8,9,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[3,4,5,6,7,8,1,2,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,5,6,9,1,2,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,1,2,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,6,7,8,9,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,1,8,6,3,7,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,3,1,6,2,5,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,4,3,8,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,2,8,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,1,7,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,2,1,5,7,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,8,7,2,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,5,7,8,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,7,4,2,6,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,4,2,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,8,4,2,1,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,7,4,3,6,1,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,7,4,3,6,8,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,4,1,6,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,5,7,8,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,7,8,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,7,4,1,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,3,7,4,8,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,7,4,8,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,3,7,4,5,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,7,4,5,8,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,6,4,3,5,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,3,7,4,5,2,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,3,5,4,2,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,1,8,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,7,8,1,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,8,4,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,2,7,5,3,4,6]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,1,8,6,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,3,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,5,3,8,6,7,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,5,1,4,8,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,1,3,2,4,5,6,8]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,7,1,4,2,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,8,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,6,1,7,3,2]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,4,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,4,8,1,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,4,7,1,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,5,3,7,1,2,6]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,7,3,5,6,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,2,4,6,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,5,6,7,3,8,9,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[4,6,8,3,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,4,2,5,3,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,4,2,8,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,2,4,3,7,1,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,4,3,7,6,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,1,3,6,8,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,2,5,1,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,7,1,4,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,7,8,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,2,4,6,8,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,2,4,7,6,5,3]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,1,8,6,7,5,2]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,5,1,7,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,3,2,8,5,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,4,5,6,7,9,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,5,3,2,4,7,1,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,4,2,5,8,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,4,2,6,3,1,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,2,1,6,4,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,5,1,3,2,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,4,7,5,2,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,7,1,4,6,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,6,1,4,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,5,7,6,1,2,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,5,2,1,3,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,6,4,7,2,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,7,4,6,8,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,6,3,7,2,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,1,7,6,4,5]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,6,4,8,1,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,1,6,8,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,8,5,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,1,6,7,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,3,1,7,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,7,4,1,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,4,2,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,4,2,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,1,4,2,6,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,8,4,6,2,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,3,2,7,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,6,5,2,4,8]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,8,6,7,5,4,3]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,5,4,3,2,6,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,7,4,6,2,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,2,4,5,7,1,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,8,7,4,5,2,6,1]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,2,4,1,3,8,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,2,5,1,8,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,7,8,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,3,7,5,8,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,7,8,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,6,8,4,5,2,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,5,7,3,6,1,4]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,5,8,7,6,3,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,7,2,4,5,1,8,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,7,8,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,8,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,4,1,8,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,2,3,7,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,3,1,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,5,1,4,3,6]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,3,2,7,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,1,2,4,7,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,1,7,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,4,5,1,2,6,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,6,2,7,1,5,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,2,1,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,4,2,1,7,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,1,7,5,6,2,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,7,5,2,6,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,2,7,5,3,1,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,7,5,1,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,7,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,7,6,5,2,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,1,4,7,6,2,5]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,7,6,2,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,6,8,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,2,4,8,1,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,2,4,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,2,6,8,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,1,8,2,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,8,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,8,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,7,3,2,8,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,1,7,3,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,1,3,4,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,1,8,3,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,2,8,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,2,8,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,8,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,2,7,8,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,4,1,8,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,6,3,5,8,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,5,2,4,8,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,8,6,2,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,7,8,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,2,7,8,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,1,4,6,2,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,3,1,4,7,8,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,8,7,1,5,6,4,3,2]=>[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[9,1,7,8,6,5,4,3,2]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,5,7,1,8,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,8,6,5,2,7,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,8,6,5,1,7,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,7,3,1,2,6,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,2,6,5,7,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,2,6,1,4,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,5,6,8,4,1,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,6,8,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,6,2,4,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,4,5,6,7,2,9,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,1,9,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,2,6,1,7,3,8,5,9]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,2,6,1,7,3,5,9,8]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,2,6,1,7,3,9,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,2,5,1,3,6,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,6,1,7,3,5,8,9]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,2,6,1,7,3,5,9,8,10]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,8),(5,8),(5,9),(6,7),(6,9)],10)
[5,3,4,2,7,1,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,2,1,3,8,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,5,6,8,1,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,2,4,8,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,1,2,7,8,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,1,2,5,3,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,6,1,8,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,6,3,8,4,7,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,2,8,3,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,3,8,5,2,7,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,4,7,2,3,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,5,6,4,3,1,7]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,3,8,6,5,1,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,4,5,8,6,2,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,2,5,4,6,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,7,3,2,8,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,8,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,4,1,6,7,3,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,7,3,6,2,4,1,5]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,8,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,6,1,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,8,4,3,2,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,1,2,7,8,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,7,5,3,4,1,6]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,1,2,8,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,2,6,3,1,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,5,7,8,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,6,3,4,2,1,8,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,2,3,7,1,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[3,4,5,8,1,7,2,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,4,2,7,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,7,8,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,4,7,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,8,6,7,5,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,2,7,8,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,2,7,1,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,2,1,7,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,2,1,7,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,1,6,7,3,2,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,1,8,3,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,1,3,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,4,2,6,3,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,5,4,3,1,2,9,8]=>[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,4,3,2,1,11,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[8,7,6,5,4,3,1,2,10,9]=>[[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,5,4,2,1,3,9,8]=>[[[[[[.,.],[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,5,4,1,3,2,9,8]=>[[[[[.,[[.,.],.]],.],.],.],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,7,6,5,3,2,4,1]=>[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,7,6,5,2,4,3,1]=>[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[10,9,8,7,6,5,4,2,3,1]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,7,4,5,6,8,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,4,6,8,1,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,5,8,1,6,7,4]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,5,6,8,1,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,1,5,6,7,9,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,3,4,6,2,8,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,6,5,2,8,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,4,8,6,7,3,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,4,1,6,8,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,3,5,6,7,9,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,5,2,1,7,6,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,3,6,4,1,8,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,8,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,5,1,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,5,4,8,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,4,6,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,5,6,4,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,6,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,6,7,1,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,7,3,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,7,6,4,8,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,6,4,2,8,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,4,3,7,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,5,1,6,3,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,3,7,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,4,7,6,8,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,1,3,7,6,5,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,1,6,7,5,2]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,4,2,6,5,7,3]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,4,3,7,2,1,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,1,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,3,8,2,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,4,3,8,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,4,3,2,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,4,5,3,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,8,6,5,7,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,2,7,5,1,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,3,7,4,1,8,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,7,4,3,6,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,4,5,6,8,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,1,4,5,6,3]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,3,4,5,6,2]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,3,1,4,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,5,4,6,8,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,8,1,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,2,5,7,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,3,4,1,7,8,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,1,7,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,3,1,4,7,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,2,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,1,5,2,7,8,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,3,1,4,7,8,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,1,3,5,6,8,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,4,5,8,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,3,7,5,8,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,4,7,8,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,8,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,4,5,3,6,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,5,1,4,6,2,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,2,1,8,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,1,3,8,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,8,4,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,4,7,6,3,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,5,6,8,4,3,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,2,4,7,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,6,3,8,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,7,4,5,8,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,2,6,1,5,8,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,1,6,2,5,7,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,4,5,1,6,8,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,2,7,6,1,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,6,2,1,5,3,4]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,8,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,5,7,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,4,3,2,7,1,8,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,4,3,2,6,1,7,8,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,2,5,1,6,7,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,4,1,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,6,5,4,7,2,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,2,6,5,3,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,3,5,2,7,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,6,3,5,1,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,1,2,5,3,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,7,1,3,6,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,3,5,2,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,3,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,3,6,7,4,2,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,8,6,7,1,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,2,4,7,3,5,8]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,1,6,4,7,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,7,2,4,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[5,6,1,4,8,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,1,7,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,6,1,7,5,3,8,9]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[6,4,2,8,1,9,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[4,2,6,1,7,5,3,8,9,10]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,8),(3,6),(4,8),(4,9),(5,7),(5,9),(6,7)],10)
[6,4,2,8,1,9,7,5,3,10]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,9),(1,8),(2,7),(3,7),(4,6),(5,8),(5,9),(6,9),(7,8)],10)
[5,2,6,3,7,8,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,1,3,7,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,1,5,7,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,6,4,7,8,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,6,3,7,5,1,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,6,8,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,4,8,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,5,8,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,6,8,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,1,6,8,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,4,7,2,6,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,5,8,3,1,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,5,8,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,8,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,7,3,5,6,2,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,6,3,5,4,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,8,1,6,5,7,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,6,2,5,8,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,7,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,5,1,3,4,8,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,1,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,5,1,2,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,1,2,7,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,6,2,4,3,7]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,5,1,2,7,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,6,1,3,2,7,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,4,3,2,6,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,4,1,3,7,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,4,8,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,1,8,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,7,3,2,8,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,4,5,1,8,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,6,7,4,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,5,7,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,2,7,6,3,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,2,1,7,6,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,7,8,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,2,5,1,7,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,7,8,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,7,1,8,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,3,2,8,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,1,2,8,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,1,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,7,3,4,6,2]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,2,7,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,7,6,3,1,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,2,4,7,6,3,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,7,1,6,2,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,4,6,7,5,3]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,1,8,4,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,2,8,1,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,5,8,1,7,6,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,2,6,7,5,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,8,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,5,2,8,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,5,8,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,7,3,5,2,4,6]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,3,2,7,6,4,5]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,4,8,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,7,5,3,2,8,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,3,8,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,1,3,5,2,4,8]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,4,5,3,8,1,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,4,7,2,3,8]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,8,1,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,2,8,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,4,8,7,2,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,4,8,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,8,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,2,8,6,4,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,2,7,4,8,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,7,4,2,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,4,2,8,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,5,4,6,2,7,3]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,4,6,2,8,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,4,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,1,7,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,1,3,7,6,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,1,2,8,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,2,3,1,8,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,2,1,3,8,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,8,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,2,3,7,6,1,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,7,8,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,6,8,3,5,4,2]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,4,2,1,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,7,4,1,3,2,8]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,8,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,6,8,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,6,1,5,2,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,8,6,4,5,1,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,6,2,5,1,7]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,8,7,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,2,6,8,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,2,1,8,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,6,5,7,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,6,1,8,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,6,3,8,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,2,3,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,2,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,8,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,4,5,8,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,2,7,1,3,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,8,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,5,1,6,2,4,8,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,7,1,6,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,2,3,8,7,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,4,7,6,1,3,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,3,7,6,1,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,7,6,1,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,3,5,1,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,3,8,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,3,1,7,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,3,4,1,6,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,7,3,5,1,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,6,3,5,1,4,8]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,3,1,7,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,3,8,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,1,4,6,8,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,3,1,6,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,3,1,5,4,7]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,3,1,7,4,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,3,4,2,7,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,4,5,6,8,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,2,5,6,4,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,1,4,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,8,1,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,2,3,1,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,2,3,1,6,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,1,4,6,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,1,5,6,8,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,3,8,1,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,1,5,3,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,1,3,8,4,6,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,3,2,6,7,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,3,4,2,7,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,3,4,2,7,5,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,3,5,8,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[10,9,11,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,9,8,10,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,8,7,9,6,5,4,3,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[3,7,2,8,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,7,4,6,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,3,7,4,6,1,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,7,3,4,5,1,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,3,4,5,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,5,2,1,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,6,3,4,5,1,8]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,5,1,3,4,6]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,2,3,4,5,9,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,7,2,8,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,8,3,7,2,9,4,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[8,2,9,3,6,5,4,7,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[9,5,1,7,3,10,6,2,8,4]=>[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(5,9),(6,9),(7,9)],10)
[9,3,5,7,1,10,4,6,8,2]=>[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,7),(2,8),(3,6),(4,5),(5,9),(6,9),(7,8),(8,9)],10)
[6,4,7,5,9,2,10,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,7),(1,7),(2,8),(3,8),(4,9),(5,6),(5,8),(6,9),(7,9)],10)
[7,5,6,4,9,2,10,3,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[[.,.],[.,.]]]=>([(0,9),(1,7),(2,7),(3,8),(4,8),(5,8),(5,9),(6,7),(6,9)],10)
[5,2,1,3,6,7,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,6,1,8,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,5,2,7,8,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,6,8,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,5,1,4,2,6]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,5,7,3,6,2,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,2,6,4,5,1,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,7,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,2,7,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,7,2,6,5,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,7,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,3,6,4,7,5]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,3,5,8,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,7,8,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,2,8,1,6,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,4,1,5,7,6,2]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,5,1,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,1,4,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,8,6,7,4,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,7,4,2,8,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,8,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,6,2,8,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,5,2,7,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,6,3,5,7,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,5,7,4,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,5,8,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,6,1,5,7,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,1,2,6,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,1,4,6,7,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,1,3,5,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,3,4,7,2,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,3,7,8,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,2,1,3,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,2,4,1,7,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,7,4,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,3,8,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,8,3,4,6,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,7,5,8,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,7,1,4,5,3,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,6,1,5,7,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,4,1,3,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,2,6,7,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,2,7,4,1,3,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,7,3,1,4,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,3,1,5,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,5,6,7,8,9,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,6,7,8,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,6,2,1,8,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,5,2,7,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,5,6,2,1,8,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,6,3,8,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,1,2,7,8,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,3,5,2,7,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,3,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,3,7,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,4,8,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,5,4,2,3,7]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,2,5,1,6,8,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,4,7,2,8,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,4,6,5,8,1,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,8,7,1,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,2,1,6,3,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,7,4,2,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,1,5,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,4,1,5,7,2]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,6,1,4,8,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,6,3,8,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,2,3,6,7,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,4,2,1,8,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,6,4,1,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,4,3,8,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,6,1,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,3,5,8,1,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,2,6,7,4,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,3,8,1,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,2,4,3,5,7,8]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,8,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,5,3,8,2,4]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,1,2,4,3,5,8,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,1,3,7,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,5,2,6,7,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,6,3,8,7,2,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,2,6,8,7,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,2,7,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,2,6,7,1,4,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,8,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,3,1,8,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,1,2,3,6,7,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,1,5,4,7,3]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,6,1,5,7,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,6,4,7,1,2,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,5,4,3,2,6]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,7,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,4,7,6,2,5,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,4,1,6,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,4,6,3,5,8]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,6,5,2,4,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,2,4,6,3,8]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,4,5,2,7,3,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,8,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,3,6,4,5,8]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,6,5,1,7,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,1,3,6,5,2,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,1,2,6,3,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,1,4,7,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,7,8,4,1,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,5,7,8,1,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,7,5,8,1,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,6,3,7,8,1,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,6,8,7,1,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,8,3,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,5,6,3,8,1,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,6,8,5,1,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,8,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,4,1,2,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,3,8,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,2,5,3,7,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,2,7,6,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,6,8,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,2,8,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,5,2,7,1,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,8,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,2,1,6,5,8,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,8,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,1,4,5,8,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,5,2,1,7,6]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,1,8,7,6,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,5,6,8,7,2,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,7,5,4,1,6,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,7,4,2,6,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,3,2,8,5,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,8,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,8,4,5,7,1,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,8,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,6,4,2,7,1,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,8,4,7,6,2,5]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,7,5,4,1,2,6]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,4,7,8,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,3,7,6,1,8,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,3,7,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,2,8,7,6,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,2,3,7,6]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,2,1,6,4,7,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,8,4,1,7,5,6]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,3,2,7,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,5,8,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,7,8,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,1,5,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,7,8,1,6,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,8,1,3,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,6,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,5,8,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,5,6,1,4,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,4,2,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,7,5,8,1,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,8,5,6,1,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,8,1,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,5,8,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,8,1,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,5,2,8,1,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,5,7,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,7,5,8,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,4,7,3,8,1,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,8,4,2,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,7,9,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,7,9,1,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[[.,.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,5,4,7,6,3,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,8,7,6,2,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,4,5,8,1,6,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,4,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,1,7,2,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,6,2,8,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,8,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,7,4,3,8,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,6,5,2,8,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,4,1,6,2,7,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,2,8,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,8,7,5,6,4]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,3,6,5,2,4]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,7,3,8,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,5,6,7,8,2,1,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,7,2,1,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,7,8,1,2,3,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,8,1,6,3,7,2,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,4,1,6,3,7,2]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,2,4,8,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,3,2,4,8,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,8,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,6,3,5,1,7]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,8,3,6,4,5,1]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,4,6,5,2,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,5,4,1,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,8,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,2,1,6,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,8,2,6,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,1,3,7,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,7,8,6,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,2,6,3,4,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,8,6,1,2,5,7,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,6,1,8,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,2,7,1,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,1,5,4,7,2,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,2,5,4,8,1,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,4,8,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,7,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,2,6,3,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,6,2,8,1,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,7,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,8,7,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,6,4,3,8,1,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,5,1,4,6,2]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,5,2,1,4,7]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,3,5,2,4,6,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,7,6,5,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,3,8,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,8,5,6,2,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,8,3,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,8,1,5,7,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,7,2,1,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,6,2,1,8,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,5,3,8,6,7,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,7,4,8,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,1,6,3,8,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,7,4,6,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,8,3,7,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,1,6,4,3,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,3,8,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,7,4,5,6,2]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,1,8,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,7,4,5,6,1]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,4,3,7,5,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,2,1,5,7,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,8,7,4,6,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,2,8,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,3,7,8,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,5,4,1,7,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,5,6,3,8,7,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,6,3,2,4,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,4,6,7,3,2]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,5,1,3,7,6,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,8,3,7,6,1]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,4,1,8,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,1,3,8,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,5,4,8,2,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,7,2,5,6,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,5,4,1,8,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,8,3,7,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,2,7,6,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,3,4,6,5,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,1,2,4,7,6,9,8]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,.],.]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[5,3,1,2,4,6,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,2,8,7,5,4,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,3,1,2,4,6,9,8,10]=>[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,8),(1,9),(2,7),(3,7),(4,5),(5,8),(6,7),(6,9),(8,9)],10)
[5,3,1,2,4,7,6,9,8,10]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,9),(1,8),(2,7),(3,7),(4,6),(5,8),(5,9),(6,9),(7,8)],10)
[1,4,3,8,5,7,2,6]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,5,2,8,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,3,7,6,4,8,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,8,1,3,6,2,7,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,3,4,8,6,5,1]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,4,7,3,6,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,6,5,8,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,3,8,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,7,4,8,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,6,2,4,7,1,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,7,3,6,4,2]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,3,7,1,2,8,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,2,7,5,4,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,6,2,5,3,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,4,2,5,7,3,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,3,1,2,4,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,5,2,3,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,5,2,3,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,2,6,8,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,2,8,3,7,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,8,7,3,5,4,6]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,6,8,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,2,8,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,3,6,7,5,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,5,2,8,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,7,3,5,8,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,6,4,8,2,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,4,8,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,8,7,3,5,4,6]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,8,5,7,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,4,7,6,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,7,2,4,6,5]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,4,8,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,7,1,4,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,5,3,2,8,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,2,8,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,7,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,2,7,4,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,1,8,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,7,8,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,8,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,2,4,8,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,8,1,4,3,7,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,2,7,5,6,3]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,2,8,3,9,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,2,8,3,9,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,2,8,9,3,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,2,8,9,3,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,2,8,9,10,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,2,3,9,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,2,3,9,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,2,9,3,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,2,9,10,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,9,2,3,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,9,2,3,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,9,2,10,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,1,8,9,10,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,2,3,9,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,2,3,9,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,2,9,3,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,2,9,3,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,2,9,10,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,9,2,3,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,9,2,3,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,9,2,10,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,1,9,10,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,9,1,2,3,4,10,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,9,1,2,3,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,9,1,2,10,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,8,9,1,10,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,6,3,5,2,1,7,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,6,4,7,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,1,8,7,3,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,5,4,3,2,9,8]=>[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,8,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,1,4,6,8,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,3,6,8,1,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,5,6,1,8,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,6,7,4,5,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,5,2,8,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,3,6,8,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,1,3,8,5,4,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,8,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,1,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,3,1,6,8,7,4,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,8,7,5,6,4]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,3,7,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,6,4,1,5,3,7]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,4,5,1,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,3,8,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,1,2,4,8,3,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,4,5,1,3,2,6]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,2,7,4,3,6]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,7,2,5,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,4,6,1,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,4,1,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,5,8,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,7,2,6,3,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,1,5,7,4,6,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,3,5,7,8,1,6,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,7,5,3,6,8,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,2,4,6,3,5]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,4,7,8,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,8,3,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,6,2,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,3,6,8,2,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,2,6,3,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,3,7,5,8,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,6,5,7,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,2,7,3,6,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,5,2,3,8,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,4,7,3,5,2,6]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,6,1,7,2,5]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,1,8,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,2,1,3,7,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,1,7,6,8,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,1,8,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,7,5,8,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,8,3,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,1,5,4,6,7,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,7,3,1,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,7,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,1,3,8,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,1,3,8,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,7,3,8,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,3,2,4,8,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,4,2,7,6,5,8,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,1,6,5,7,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,7,3,4,1,5,6]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,6,2,3,8,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,7,6,2,8,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,1,8,7,5,2,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,8,7,2,1,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,1,5,4,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,1,5,2,7,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,6,2,4,3,7,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,3,1,6,2,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,3,1,6,4,7,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,1,5,8,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,8,9,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,4,5,6,7,8,9,3,2]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,8,9,10,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,7,6,8,9,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,8,5,1,3,2,6,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,3,1,2,7,6,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,5,2,3,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,2,3,6,4,8]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,6,3,7,2,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,2,8,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,6,7,2,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,5,1,3,4,7,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,7,4,3,1,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,6,3,1,7,4,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,3,7,2,4,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,7,1,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,5,8,1,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,6,7,3,2,4,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,4,7,2,3,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,5,7,8,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,7,4,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,7,8,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,5,2,1,7,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,8,6,7,1,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,2,4,7,1,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,8,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,6,8,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,2,6,5,8,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,7,4,6,1,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,1,2,3,6,8,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,8,6,3,2,1,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,6,7,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,3,6,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,5,7,1,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,8,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,6,8,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,8,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[9,8,7,6,5,2,1,3,4]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,7,8,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,7,8,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,1,6,7,5,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,1,7,5,6,4]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,6,2,1,4,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,1,5,8,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,6,4,7,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,8,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,5,3,8,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,4,7,8,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,4,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,1,8,4,6,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,8,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,8,2,1,6,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,7,6,3,4,5,1]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,2,7,1,5,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,6,1,4,8,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,1,2,4,6,3,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,8,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,2,4,3,8,6]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,8,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,7,8,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,7,6,3,4,5,8]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,3,8,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,6,8,5,1,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,4,8,6,1,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,3,8,4,5,7,6]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,8,5,4,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,7,8,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,3,8,4,7,6,5]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,2,8,4,5,7,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,8,7,5,4,6,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,2,3,8,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,6,5,7,8,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,8,7,4,6,5,3]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,8,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,6,8,5,7,2,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,1,6,4,3,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,7,1,8,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,5,4,2,3,8,7]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,5,1,2,8,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,5,7,6,3,2]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,3,5,2,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,2,5,3,8,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,5,2,1,8,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,4,3,6,7,2,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,8,2,1,5,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,3,8,6,7,4,1]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,6,5,1,8,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,8,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,8,1,6,7,3,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,4,6,7,3,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,3,8,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,1,6,2,4,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,4,6,5,7,2,3]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,7,5,6,4,2,3]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,5,3,7,2,4]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,2,3,6,8,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,7,8,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,8,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,6,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,5,8,6,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,4,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,6,8,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,5,2,8,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,4,2,8,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,3,2,8,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,6,8,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,4,8,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,8,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,5,2,8,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,3,2,4,6,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,3,4,1,8,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,3,8,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,4,6,3,8,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,7,6,1,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,2,6,8,7,3,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,2,5,8,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,5,3,8,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,7,6,1,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,7,4,6,5,1]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,6,5,1,4,3,7]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,5,2,7,6,3,1]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,6,5,7,1,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,8,4,7,2,1,6,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,8,5,1,7,6,3,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,1,7,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,6,2,5,7,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,2,6,8,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,8,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,4,3,8,7,2,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,8,2,6,4,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[10,6,9,8,5,4,3,7,2,1]=>[[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[3,5,6,2,4,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,2,4,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,7,6,8,2,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,2,6,8,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,6,8,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,2,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,2,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,5,7,2,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,2,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,4,7,8,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,4,7,2,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,5,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,4,2,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,8,4,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,5,7,8,4,6,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,2,7,8,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,8,2,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,7,8,6,2,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,5,6,7,3,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,5,6,7,8,9,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,6,1,4,3,5,2,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,8,4,3,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,4,8,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,2,5,3,6,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,4,1,5,3,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,3,5,2,6,7]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,8,3,5,2,6,7]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,1,2,5,4,6,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,8,2,5,4,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,5,1,8,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,4,8,1,7,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,4,6,8,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,6,7,2,5,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,5,7,3,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,8,1,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,6,8,2,1,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,4,1,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,4,5,8,6,3,1,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,3,1,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,5,8,2,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,5,1,8,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,4,2,6,7,1,5]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,3,8,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,1,8,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,5,2,8,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,7,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,2,8,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,7,8,6,1,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,6,8,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,7,6,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,2,1,5,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,2,4,3,8,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,1,6,2,4,5,3,8]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,6,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,5,8,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,8,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,4,8,2,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,3,6,5,8,4,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,2,8,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,5,7,8,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,8,3,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,1,5,7,2,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,4,6,3,7,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,1,2,6,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,5,2,7,4,3]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,5,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,3,7,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,3,2,4,8,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,1,8,2,6,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,3,2,5,7,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,5,3,8,6,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,5,3,8,1,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,5,8,1,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,4,3,5,7,6]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,3,8,1,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,7,4,8,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,3,2,8,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,3,8,5,1,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,3,2,5,6,4,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,8,2,6,5,4,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,8,1,4,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,4,1,5,7,6]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,2,3,1,5,7,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,4,1,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,2,4,8,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,8,1,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,8,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,1,8,5,3,4,6,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,1,3,2,5,6,7]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,1,2,3,5,4,7]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,5,2,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,6,3,1,5,4,7]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,6,3,8,1,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,4,5,6,7,2,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,4,5,6,8,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,8,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,1,8,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,5,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,1,7,4,5,3,6]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,6,2,5,4,8,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,2,3,5,8,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,6,4,3,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,5,7,8,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,6,4,7,1,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,2,1,7,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,3,6,7,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,5,3,8,4,7,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,2,3,5,1,4,8]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,3,4,8,1,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,3,4,8,7,1]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,3,4,8,1,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,8,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,4,8,7,2,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,3,4,8,7,2,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,3,8,4,7,6,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,8,1,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,8,1,7,6,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,8,1,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,4,8,2,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,2,4,8,7,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,3,6,8,4,1,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,5,1,7,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,6,5,8,4,1,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,5,1,7,6,4,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,1,7,4,8,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,6,4,2,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,7,4,8,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,7,3,2,5,4,6]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,2,5,7,4,6,3]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,5,3,6,1,4,7]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,7,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,4,7,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,2,4,7,8,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,2,1,7,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,7,8,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,7,8,6,4,5,3]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,1,2,6,5,3,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,3,2,4,8,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,8,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,1,3,6,8,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,8,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,1,6,4,3,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,2,7,1,4,6,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,8,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,3,8,5,7,1,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,1,4,6,5,7]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,1,3,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,1,6,5,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,6,8,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,4,7,6,1,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,8,7,3,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,5,1,3,8,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,2,1,8,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,8,5,1,4,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,4,1,2,8,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,8,1,4,2,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,5,8,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,7,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,5,2,6,1,4,8,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,1,8,3,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,5,3,1,7,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,6,4,1,8,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,6,7,8,9,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[2,5,6,3,4,1,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,2,1,5,8,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,2,3,8,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,5,8,7,4,1,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,5,8,7,4,6,1]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,3,7,8,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,3,5,8,1,6,4,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,4,5,8,3,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,1,5,4,2,7,3]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,5,6,3,1,4,7]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,3,7,8,1,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,6,7,8,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,7,8,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,5,8,4,6,1]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,5,1,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,6,7,1,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,8,5,4,6,1]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,8,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,5,8,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,8,7,4,6,5,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,8,7,3,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,1,8,7,5,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,2,7,6,1,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,5,3,1,4,8]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,6,2,4,8,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,2,7,4,6,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,1,6,4,3,5]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,3,2,8,1,7,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,4,1,6,3,8,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,3,5,2,4,8,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,3,7,2,5,1,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,3,2,6,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,2,1,3,5,4,6,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,7,5,4,2,6,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,8,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,2,5,4,8,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,7,6,3,1,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,7,5,1,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,1,4,7,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,7,3,1,5,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,8,7,3,6,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,4,7,5,3,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,5,1,8,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,6,1,5,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,2,3,6,7,5,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,3,5,7,4,1,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,3,8,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,2,4,7,3,6]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,1,4,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,8,5,6,2,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,2,7,1,8,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,4,1,5,7,8,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,4,1,3,6,7,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,2,3,8,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,8,1,7,4,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,4,7,3,1,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,3,1,2,5,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,8,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,4,7,3,1,2,6]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,1,5,4,8,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,6,4,8,1,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,6,2,3,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,6,5,2,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,1,2,7,6,3,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,7,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,8,1,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,2,8,7,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,2,4,3,8,7,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,8,1,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,4,1,2,6,8,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,3,1,2,6,5,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,2,7,4,5,1,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,6,2,3,5,4,1,7]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,1,3,5,4,7]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,3,7,2,5,6,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,1,7,4,5,2,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,5,1,7,3,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,2,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,8,1,7,5,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,3,7,1,5,6,2]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,4,7,2,6,5,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,7,6,4,5,2]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,7,1,4,5,6,2]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,6,1,2,5,4]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,6,2,4,5,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,3,6,1,5,4]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,1,3,4,6,5]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,4,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,2,4,7,3,1,6,5]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,6,3,1,4,5]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,4,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,8,2,7,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,6,7,5,4,3]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,7,5,6,2,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,4,7,6,5,1,3]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,6,4,5,1,3]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,4,7,2,3,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,7,3,6,5,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,7,6,4,5,2,3]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,7,6,4,5,3]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,4,7,3,6,5,2]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,1,9,8,7,6,5,4]=>[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,8,1,5,3,7,6,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,2,4,7,5,6,3]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,3,8,4,7,1,6,5]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,6,2,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,6,2,3,8,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,2,3,7,6,4,5]=>[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,3,8,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,2,3,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,3,7,6,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,5,6,4,8,2,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,1,8,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,5,6,1,2,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,6,2,5,4,8,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,4,3,8,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,2,1,5,6,8,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,5,6,4,2,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,4,3,5,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,6,5,3,8,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,5,6,4,2,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,4,3,7,5,8,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,6,4,5,2,7,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,6,2,3,7,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,8,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,2,8,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,7,4,5,1,6,8,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,8,1,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,5,2,8,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,8,4,6,1,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,7,2,1,6,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,5,1,6,8,3,7,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,5,4,6,1,2,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,5,6,1,7,2,9,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,7,4,5,2,6,8,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,2,6,5,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,1,5,8,4,6,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,6,3,4,1,5,7]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,5,8,2,1,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,3,5,6,2,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,4,2,3,6,5]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,1,8,5,7,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,3,2,4,8,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,4,5,8,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,2,7,4,6,1,8,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,4,6,1,7,5]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,2,4,5,7,1,6]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,6,2,1,3,8,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,6,7,2,4,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,2,3,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,6,7,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,2,8,6,1,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,6,3,2,5,7,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,8,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,4,6,3,1,5,2,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,1,5,2,4,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,6,2,5,4,1,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,5,3,4,6,8]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,1,2,7,6,3]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,8,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,4,1,3,8,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,6,8,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,5,4,1,3,7,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,3,4,1,6,7,5]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,4,3,8,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,4,3,8,7,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,2,5,8,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,4,5,8,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,5,8,3,1,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,4,8,6,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,2,8,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,8,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,2,4,5,8,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,6,8,7,2,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,7,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,2,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,2,8,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,5,2,4,8,3,7]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,8,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,6,2,4,7,5,8,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,2,7,4,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,3,6,7,1,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,5,7,2,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,5,7,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,7,3,8,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,1,6,3,8,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,7,4,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,3,1,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,3,1,7,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,6,7,9,1,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,8,2,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,7,1,9,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,2,1,4,5,6,3,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,8,5,2,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,7,8,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,8,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,3,4,2,1,9,8,7]=>[[[[[.,.],.],[.,.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,5,2,7,8,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,3,5,8,7,2,6,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,1,8,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,1,3,8,7,5,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,6,7,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,7,2,1,5,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,1,3,8,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,5,7,2,4,6,1]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,1,4,5,2,8,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,6,1,3,8,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,1,2,5,8,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,7,3,5,2,6,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,5,4,7,1,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,2,3,7,5,4]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,3,6,4,1,7,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,8,7,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,3,4,8,2,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,1,2,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,2,7,6,8,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,5,2,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,4,5,2,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,4,2,8,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,6,5,8,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,4,5,3,6,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,8,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,8,2,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,4,7,5,6,1]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,6,2,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,8,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,8,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,1,7,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,7,3,8,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,5,2,1,6,7,4]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,4,7,1,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,5,7,3,8,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,5,3,7,6,2,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,2,3,8,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,1,3,8,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,4,2,7,8,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,3,7,8,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,8,2,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,2,3,8,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,7,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,3,2,6,8,4,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,4,6,8,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,1,7,5,6,3,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,3,7,6,2,8,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,2,5,7,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,8,2,5,7,6]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,7,3,6,4,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,6,7,2,4,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,2,8,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,4,1,7,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,6,3,1,8,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,1,3,7,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,2,1,6,8,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,5,6,4,7,2]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,7,1,5,6,2,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,6,5,3,7,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,8,7,2,5,6,1,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,7,3,2,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,2,3,1,6,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,3,5,1,7,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,2,6,4,1,7,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,1,5,3,6,7,2]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,3,5,1,4,6,7,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,3,4,6,7,2]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,2,5,4,7,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,4,6,5,2,7,1]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,4,2,5,3,6]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,5,1,4,7,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,5,1,2,6,7,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,3,2,6,7,4]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,5,2,4,6,7,3]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,6,4,1,3,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,7,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,1,8,5,4,3,7,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,5,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,4,6,2,7,1,3]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,5,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,3,4,8,1,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,4,7,8,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[10,1,8,9,6,7,4,5,2,3]=>[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[10,8,7,6,5,4,3,1,2,9]=>[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,8,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,5,6,8,7,1,4,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,6,4,1,7,5]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,7,5,8,6,1,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,1,2,4,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,4,8,2,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[1,2,3,4,5,6,8,7,9,10]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,7,6,2,8,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,8,6,4,7,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,2,8,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,3,8,1,4,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[9,6,5,4,3,2,1,7,8]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,6,5,2,4,3,7,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,5,3,7,4,8,1]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,5,4,2,6,3,7,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,3,2,6,4,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,5,8,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,5,8,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,4,8,2,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,4,8,2,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,6,8,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,7,4,8,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,7,4,8,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,7,5,8,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,8,6,4,3,7,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,5,7,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[9,1,2,3,4,5,8,7,6]=>[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,4,7,3,5,6,2]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,7,2,4,5,6,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[10,1,2,3,4,5,6,9,8,7]=>[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,1,2,3,4,7,8,6,5]=>[[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,1,4,5,7,3,6,2]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,3,4,2,8,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,4,6,8,1,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,6,4,1,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,3,5,7,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,7,5,8,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,6,8,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,2,1,8,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,8,1,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,8,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,8,6,7,1,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,8,6,7,3,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,6,2,4,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,1,6,4,8,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,4,5,8,6,1,7]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,2,1,3,8,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,3,6,8,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,1,3,2,8,6,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,8,6,1,7,2]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,5,8,6,1,2,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,1,3,7,8,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,2,5,4,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,6,4,1,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,5,8,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,7,8,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,1,2,6,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,8,3,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,7,8,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,1,3,2,5,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,5,7,2,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,7,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,7,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,6,3,2,8,7,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,6,7,8,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,5,6,3,7,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,6,7,3,4,2,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,1,7,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,5,1,7,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,2,3,5,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,5,2,3,1,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,4,8,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,7,3,2,5,6,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,7,3,8,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,2,6,7,1,5,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,8,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,7,5,1,8,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,2,6,8,7,4,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,6,8,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,2,3,7,5,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,7,5,1,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,4,8,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,2,3,8,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,2,8,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,5,8,1,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,3,6,8,5,2,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,2,8,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,3,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,2,7,6,4,1,3,5]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,3,7,5,1,6,2,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,5,7,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,5,6,3,7,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,5,7,4,6,2,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,5,6,3,2,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,1,6,3,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,1,4,8,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,5,6,8,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,1,8,7,4,6,5]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,8,2,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,8,4,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,3,6,1,2,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,6,1,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,7,2,1,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,8,3,2,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,7,2,6,1,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,6,5,7,2,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,7,2,5,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,6,7,4,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,7,8,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,7,8,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,4,3,7,8,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,7,8,4,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,7,3,2,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,3,7,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,4,7,8,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,2,8,4,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,2,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,8,1,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,4,8,6,7,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,4,8,7,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,7,8,6,5,1,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,6,7,8,9,1,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[4,5,6,7,8,9,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,2,6,7,8,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,2,7,5,3,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,4,6,5,8,3,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,2,3,1,7,8,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,8,1,7,4,2,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,4,3,8,2,6,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,7,5,6,2,1,3]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,6,7,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,5,4,7,3,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,2,8,7,3,6,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,7,8,6,1,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,7,8,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,3,8,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,4,6,2,5,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,5,3,8,7,1,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,5,6,2,8,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,5,1,6,3,2,4]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,6,2,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,6,7,3,5,1]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,6,7,8,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,4,1,2,7,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,5,8,4,6,1,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,8,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,8,3,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,3,5,6,2,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,2,8,1,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,8,6,2,1,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,6,2,1,7,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,8,2,4,6,5,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,7,6,2,5,4,3]=>[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,3,7,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,3,6,7,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,8,6,1,7,4,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,7,5,2,6,3]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,8,6,7,3,5,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,6,7,8,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,6,4,1,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,1,5,7,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,5,3,2,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,8,1,3,7,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,5,3,1,7,2,6]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,3,1,8,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,8,7,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,8,2,6,7,5,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,6,3,8,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,4,1,8,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,6,8,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,6,4,2,8,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,4,8,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,8,1,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,1,6,7,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,8,6,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,4,7,8,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,8,1,6,3,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,6,8,2,5,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,6,4,2,3,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,6,2,4,5,3]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,7,2,5,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,5,1,8,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,6,5,3,8,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,8,5,7,3,1,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,1,4,6,2,7,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,6,4,5,8,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,1,5,3,8,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,5,7,2,8,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,3,8,5,1,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,1,4,8,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,4,1,7,6,5]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,8,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,7,1,4,5,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,1,6,3,5,2,4]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,2,6,1,5,3,4]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,8,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,3,4,7,1,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,3,4,1,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,8,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,8,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,4,1,2,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,4,1,6,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,7,2,8,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,1,7,6,2,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,3,6,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,5,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,4,2,7,1,8,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,1,7,6,5,3,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,7,1,8,5,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,1,2,7,8,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,1,8,7,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,5,2,7,6,3,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,3,6,7,5,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,4,5,7,6,2,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,6,8,7,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,5,1,2,4,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,2,4,3,6,7]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,8,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,7,1,4,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,5,1,2,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,2,4,6,3,7,5]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,1,4,2,3,8,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,2,7,8,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,1,2,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,4,7,5,2,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,7,2,1,6,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,8,2,1,6,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,2,5,3,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,7,5,2,4,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,2,5,3,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,1,5,3,6,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,5,2,6,3,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,5,3,6,8,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,2,6,1,8,3,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,6,7,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,2,4,1,7,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,8,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,8,3,2,6,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,8,4,2,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,8,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,3,2,7,5,4,6]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,4,5,6,1,9,8,7]=>[[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,4,5,1,9,8,7,6]=>[[.,.],[.,[.,[.,[[[[.,.],.],.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,9,5,10,2,4,6,8,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[[.,.],[.,.]]]=>([(0,8),(1,9),(2,7),(3,7),(4,5),(5,8),(6,7),(6,9),(8,9)],10)
[5,7,3,8,2,4,6,10,1,9]=>[[[[.,.],.],[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,9),(1,8),(2,4),(3,6),(4,9),(5,8),(5,9),(6,7),(7,8)],10)
[7,6,1,8,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,1,6,7,3,5,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,4,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,6,4,1,2,5,3,8]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,2,8,1,6,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,6,4,5,3,1]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,8,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,4,8,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,6,3,5,2,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,3,2,7,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,3,2,4,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,2,8,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,1,6,8,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,3,7,2,4,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,9,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,6,7,5,4,3,2,1,9]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,7,9,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,7,8,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,1,6,7,2,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,1,5,7,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,9,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,2,1,4,8,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,1,3,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,7,4,1,6,5,3]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,8,4,1,6,5,7]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,6,5,4,2,8,3]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,8,4,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,8,1,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,8,3,1,6,7,4,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,8,2,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,6,8,1,3,7,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,3,2,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,2,6,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,3,2,1,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,3,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,3,5,6,2,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,1,6,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,8,1,4,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,7,8,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,4,3,6,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,2,3,7,1,5,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,1,5,4,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,3,4,5,2,7,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,3,4,5,6,2,8]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,5,1,3,6,4,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,2,7,8,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,6,4,2,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,6,5,8,4,7,1]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,6,7,5,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,5,2,6,8,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,8,2,6,1,4,9,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[6,5,4,3,2,9,1,7,8]=>[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,1,2,3,7,8,9,10,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,8,1,2,3,4,9,10,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,9,4,7,2,5,1,3,10,8]=>[[[[.,.],[.,.]],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,9),(1,8),(2,7),(3,7),(4,6),(5,8),(5,9),(6,9),(7,8)],10)
[5,3,4,7,2,1,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,3,7,6,1,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,3,1,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,3,2,5,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,4,3,2,6,1,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,7,4,8,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,7,3,8,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,8,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,1,7,8,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,1,7,6,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,5,4,7,6,9,10,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[1,3,2,5,4,7,6,9,8,11,12,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]]=>([(0,11),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,10),(8,11),(9,10),(9,11)],12)
[9,3,4,5,6,7,8,2,1]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,9,1,8,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,4,3,8,1,7,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,3,9,1,8,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],[[.,.],.]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[5,10,1,9,2,8,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,3,1,5,6,8,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,3,1,6,8,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,4,2,7,3,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,5,8,6,3,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,8,9,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,8,2,1,5,7,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,7,1,6,3,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,2,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,1,2,4,6,3,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,7,3,6,4,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,2,7,5,6,1,4,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,1,6,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,1,7,5,4,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,8,2,3,4,5,6,1,7]=>[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,2,8,7,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[9,3,4,5,6,7,2,1,8]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,2,9,8,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[9,8,2,3,4,5,1,6,7]=>[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,3,4,8,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,8,4,5,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,3,4,5,6,2,1,7,8]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,6,2,8,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,5,6,2,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,8,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,1,4,8,6,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,4,8,3,1,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,5,4,1,6,2]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,5,1,8,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,7,6,3,2,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,6,7,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,8,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,5,3,7,6,2,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,8,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,4,2,3,5,7,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,8,3,7,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,4,3,8,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,4,1,7,3,2,6]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,3,8,1,7,6,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,6,3,2,8,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,6,3,8,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,6,8,4,5,2]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,5,7,2,8,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,2,5,6,3,4]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,2,6,7,4,3,5]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,4,8,7,6,1,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,6,3,5,4,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,7,6,4,3,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,4,1,8,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,2,1,4,6,8,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,2,6,1,8,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,3,2,1,6,8,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,1,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,1,4,7,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,1,3,6,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,3,1,2,6,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,8,2,6,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,3,2,7,6,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,5,1,4,2,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,2,1,7,4,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,3,6,7,1,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,3,5,2,1,6,4,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,6,5,2,1,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,6,1,4,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,3,7,2,4,8]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,5,4,1,7,2,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[10,9,8,6,5,4,7,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[6,7,1,9,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,1,9,10,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,8,7,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,8,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,5,4,6,1,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,5,4,8,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,1,8,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,2,6,7,5,4,3]=>[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,5,1,6,8,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,4,2,7,3,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,6,1,2,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,3,2,7,4,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,8,4,7,2,3,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,8,1,7,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,4,5,6,2,1,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,2,1,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,1,5,6,2,3,4,8]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,5,1,7,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,3,6,7,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,5,6,8,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,2,6,7,8,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,5,6,1,7,2,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,1,6,2,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,7,8,2,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,7,1,8,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,3,6,5,10,7,9,8]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,9),(1,8),(2,6),(3,4),(4,8),(5,7),(5,9),(6,7),(8,9)],10)
[2,1,4,3,8,5,7,6,10,9]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,9),(1,4),(2,5),(3,6),(4,8),(5,9),(6,7),(7,8),(8,9)],10)
[2,1,6,3,5,4,8,7,10,9]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]=>([(0,9),(1,4),(2,5),(3,6),(4,8),(5,9),(6,7),(7,8),(8,9)],10)
[2,1,6,3,5,4,10,7,9,8]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]=>([(0,8),(1,6),(2,7),(3,4),(3,7),(4,9),(5,6),(5,9),(8,9)],10)
[4,1,3,2,6,5,8,7,10,9]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,9),(1,8),(2,6),(3,4),(4,8),(5,7),(5,9),(6,7),(8,9)],10)
[4,1,3,2,6,5,10,7,9,8]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[4,1,3,2,8,5,7,6,10,9]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,8),(1,6),(2,7),(3,4),(3,7),(4,9),(5,6),(5,9),(8,9)],10)
[10,1,8,4,9,6,2,3,5,7]=>[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,7),(2,8),(3,5),(4,6),(5,8),(6,9),(7,9),(8,9)],10)
[2,1,4,3,6,5,8,7,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]]=>([(0,11),(1,9),(2,10),(3,7),(4,5),(5,10),(6,8),(6,11),(7,8),(9,10),(9,11)],12)
[2,1,4,3,6,5,10,7,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]]=>([(0,9),(1,11),(2,5),(3,6),(4,7),(5,10),(6,11),(7,8),(8,10),(9,10),(9,11)],12)
[2,1,4,3,8,5,7,6,10,9,12,11]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]]=>([(0,11),(1,10),(2,5),(3,6),(4,7),(5,10),(6,11),(7,8),(8,9),(9,10),(9,11)],12)
[2,1,4,3,8,5,7,6,12,9,11,10]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]]=>([(0,11),(1,7),(2,8),(3,9),(4,5),(4,8),(5,10),(6,7),(6,10),(9,11),(10,11)],12)
[2,1,6,3,5,4,8,7,10,9,12,11]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,9),(1,11),(2,5),(3,6),(4,7),(5,10),(6,11),(7,8),(8,10),(9,10),(9,11)],12)
[2,1,6,3,5,4,8,7,12,9,11,10]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,9),(1,11),(2,7),(3,8),(4,5),(4,11),(5,7),(6,8),(6,10),(9,10),(10,11)],12)
[2,1,6,3,5,4,10,7,9,8,12,11]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,7),(1,6),(2,8),(3,9),(4,6),(4,10),(5,7),(5,11),(8,10),(9,11),(10,11)],12)
[4,1,3,2,6,5,8,7,10,9,12,11]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,11),(1,9),(2,10),(3,7),(4,5),(5,10),(6,8),(6,11),(7,8),(9,10),(9,11)],12)
[4,1,3,2,6,5,8,7,12,9,11,10]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,9),(1,8),(2,10),(3,11),(4,6),(4,8),(5,7),(5,9),(6,10),(7,11),(10,11)],12)
[4,1,3,2,6,5,10,7,9,8,12,11]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,9),(1,11),(2,7),(3,8),(4,5),(4,11),(5,7),(6,8),(6,10),(9,10),(10,11)],12)
[4,1,3,2,8,5,7,6,10,9,12,11]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]=>([(0,11),(1,7),(2,8),(3,9),(4,5),(4,8),(5,10),(6,7),(6,10),(9,11),(10,11)],12)
[4,1,3,2,8,5,7,6,12,9,11,10]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]=>([(0,10),(1,9),(2,8),(3,5),(3,9),(4,6),(4,10),(5,11),(6,11),(7,8),(7,11)],12)
[1,5,4,7,8,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,4,7,8,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,4,7,8,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,5,6,2,3,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,1,7,3,8,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,7,8,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,5,4,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,2,4,5,6,8,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,4,5,6,8,3,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,7,8,3,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,3,6,8,1,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,5,8,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,3,5,6,8,2,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,6,5,8,2,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,1,7,3,2,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,6,4,2,8,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,3,5,1,2,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,8,3,5,2,1,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[10,9,7,6,5,4,3,8,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,6,8,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,7,1,6,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,8,2,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,8,2,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,8,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,8,7,1,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,1,3,2,6,4,5]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,4,8,3,1,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,7,5,8,4,1]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,1,2,3,8,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,2,6,1,7,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,3,6,2,7,1,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,2,4,1,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,4,2,5,1,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,3,5,2,6,1,7,8,9,10]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,5,3,6,2,7,1,8,9,10]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,4,6,3,7,2,8,1,9,10]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,6,2,1,3,7,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,3,6,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,3,2,6,5,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,8,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,8,2,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,3,8,6,1,2,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,8,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,8,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,5,1,2,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,4,6,1,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,8,1,2,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,8,6,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,8,6,3,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,8,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,1,2,8,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,3,2,4,5,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,1,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,4,8,7,3,2,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,3,1,2,6,5,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,8,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,2,8,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,3,5,7,1,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,7,2,6,5,8,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,2,6,4,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,6,1,8,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,7,8,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,2,8,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,8,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,8,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,4,1,7,8,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,8,6,5,7,1,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,1,3,4,8,2,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,3,6,1,4,2,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,1,8,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,1,5,6,4,7,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,6,1,3,4,8,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,4,6,1,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,5,6,3,8,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,2,7,5,8,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,5,3,8,1,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,4,3,8,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,1,2,6,7,4]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,5,1,3,6,8,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,7,3,1,2,6,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,8,3,6,5,7,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,8,2,6,5,7,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,8,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,1,8,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,2,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,4,8,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,4,8,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,2,8,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,3,1,8,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,8,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,8,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[7,2,8,4,5,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,6,4,3,1,7,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,4,8,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,8,3,4,6,2,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,4,2,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,7,6,2,3,8,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,4,6,7,2,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,2,3,7,8,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,1,6,4,8,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,4,5,8,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,3,6,2,5,8,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,6,5,8,2,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,4,6,3,2,8,5,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,4,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,6,7,4,1,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,3,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,2,6,3,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,1,6,3,7,2]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,4,6,2,5,7,3]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,8,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,2,6,8,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,8,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,3,5,4,1,8,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,7,4,1,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,4,8,5,3,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,3,8,4,1,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,1,5,4,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,3,4,7,2,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,8,1,4,6,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,1,3,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,4,6,5,2,8,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,3,8,5,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,7,2,8,6,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,1,7,2,8,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,3,1,8,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,2,5,3,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,3,2,8,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,1,7,5,4,6,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,3,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,3,1,2,5,6,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,5,1,2,6,8,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,3,5,7,2,9,4,6,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[1,3,5,7,2,9,4,10,6,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,9),(5,8),(6,8),(7,9),(8,9)],10)
[3,5,6,7,1,8,2,9,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[5,4,3,6,1,7,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,7,8,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,3,2,1,7,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,9,8,6,5,4,3,2,7]=>[.,[[[[[[[.,.],.],.],.],[.,.]],.],.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,9,7,6,5,4,3,2,8]=>[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,9,8,7,6,5,2,3,4]=>[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,10,9,8,7,6,5,3,2,4]=>[.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,9,8,7,6,3,4,2,5]=>[.,[[[[[[.,.],[.,[.,.]]],.],.],.],.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,10,9,8,7,5,4,3,2,6]=>[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,8,4,5,6,3,2,7]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,9,6,7,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],[.,[.,.]]],.]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,7,6,1,5,8,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,7,4,6,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,8,4,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,8,7,3,6,1,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,4,8,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,7,6,1,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,4,7,1,3,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,9,2,3,4,5,6,1,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,10,2,3,4,5,6,7,1,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[4,5,6,7,8,1,9,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,8,3,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,1,4,5,6,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,4,5,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,2,4,5,1,7,6]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,2,1,5,6,4,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,6,8,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,4,6,3,5,2,8]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,7,2,5,6,4,3,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,8,5,4,3,7,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,7,8,4,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,5,3,2,4,1,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,1,8,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,7,8,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,3,7,6,1,2,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,6,1,2,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,6,7,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,7,6,5,4,3,1,9]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,7,6,2,3,8,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,1,3,7,6,2,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,3,8,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,4,3,8,6,2,7]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,7,5,8,4,6,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,8,1,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,2,6,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,4,6,5,3,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,1,6,4,3,8,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,7,2,3,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,6,5,8,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,7,1,5,8,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,5,2,7,4,3]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,2,7,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,1,8,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,7,3,6,2,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,4,1,7,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,3,7,5,4,2]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,1,3,7,6,4,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,3,6,5,4,2,1,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,1,3,5,7,2,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,5,6,4,3,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,7,5,8,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,6,5,2,8,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,2,8,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,6,8,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,5,7,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,7,2,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,8,6,7,3,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,3,1,6,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,4,2,1,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,5,2,7,3,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,1,8,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,3,1,5,8,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,8,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,5,2,6,7,3,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,3,2,1,8,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,1,9,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,7,8,1,9,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,7,8,1,9,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,1,2,3,4,5,7,6,8]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,5,7,2,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,2,7,5,8,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,3,8,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,3,2,8,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,1,6,3,2,8,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,7,2,3,6,5,4]=>[[.,[[.,[.,[[[.,.],.],.]]],.]],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,2,6,4,3,8,5]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,7,8,3,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,7,1,3,2,4,6,5]=>[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,3,2,4,7,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,2,7,6,3,5,4]=>[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,6,3,2,7,4,5]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,7,6,3,4,5]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,4,3,1,5,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,4,3,10,5,7,6,9,8]=>[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,9),(1,8),(2,4),(3,5),(4,8),(5,9),(6,7),(6,8),(7,9)],10)
[2,1,8,3,5,4,7,6,10,9]=>[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]=>([(0,8),(1,5),(2,4),(3,6),(4,9),(5,9),(6,8),(7,8),(7,9)],10)
[2,1,10,3,5,4,7,6,9,8]=>[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]=>([(0,9),(1,8),(2,6),(3,4),(4,8),(5,7),(5,9),(6,7),(8,9)],10)
[4,1,3,2,10,5,7,6,9,8]=>[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[6,1,3,2,5,4,8,7,10,9]=>[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]=>([(0,9),(1,8),(2,4),(3,5),(4,8),(5,9),(6,7),(6,8),(7,9)],10)
[6,1,3,2,5,4,10,7,9,8]=>[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[8,1,3,2,5,4,7,6,10,9]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]=>([(0,9),(1,8),(2,6),(3,4),(4,8),(5,7),(5,9),(6,7),(8,9)],10)
[2,1,4,3,6,5,12,7,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]]=>([(0,9),(1,10),(2,11),(3,5),(4,6),(5,10),(6,11),(7,8),(7,9),(8,10),(9,11)],12)
[2,1,4,3,10,5,7,6,9,8,12,11]=>[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]]=>([(0,9),(1,10),(2,6),(3,7),(4,5),(5,9),(6,10),(7,11),(8,10),(8,11),(9,11)],12)
[2,1,4,3,12,5,7,6,9,8,11,10]=>[[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]]=>([(0,9),(1,10),(2,11),(3,5),(4,6),(5,10),(6,11),(7,8),(7,9),(8,10),(9,11)],12)
[2,1,6,3,5,4,12,7,9,8,11,10]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,9),(1,11),(2,7),(3,8),(4,5),(4,11),(5,10),(6,7),(6,10),(8,11),(9,10)],12)
[2,1,8,3,5,4,7,6,10,9,12,11]=>[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]]=>([(0,9),(1,10),(2,6),(3,7),(4,5),(5,9),(6,10),(7,11),(8,10),(8,11),(9,11)],12)
[2,1,8,3,5,4,7,6,12,9,11,10]=>[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]]=>([(0,9),(1,11),(2,7),(3,8),(4,5),(4,7),(5,10),(6,10),(6,11),(8,11),(9,10)],12)
[2,1,10,3,5,4,7,6,9,8,12,11]=>[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]]=>([(0,9),(1,10),(2,6),(3,5),(4,7),(5,11),(6,11),(7,10),(8,9),(8,11),(9,10)],12)
[2,1,12,3,5,4,7,6,9,8,11,10]=>[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]]=>([(0,11),(1,9),(2,10),(3,7),(4,5),(5,10),(6,8),(6,11),(7,8),(9,10),(9,11)],12)
[4,1,3,2,6,5,12,7,9,8,11,10]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,9),(1,8),(2,10),(3,11),(4,7),(4,8),(5,6),(5,10),(6,11),(7,10),(9,11)],12)
[4,1,3,2,10,5,7,6,9,8,12,11]=>[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]=>([(0,9),(1,11),(2,7),(3,8),(4,5),(4,7),(5,10),(6,10),(6,11),(8,11),(9,10)],12)
[4,1,3,2,12,5,7,6,9,8,11,10]=>[[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]=>([(0,9),(1,8),(2,10),(3,11),(4,5),(4,6),(5,7),(6,8),(7,11),(9,10),(10,11)],12)
[6,1,3,2,5,4,8,7,10,9,12,11]=>[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,9),(1,10),(2,11),(3,5),(4,6),(5,10),(6,11),(7,8),(7,9),(8,10),(9,11)],12)
[6,1,3,2,5,4,8,7,12,9,11,10]=>[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,9),(1,8),(2,10),(3,11),(4,7),(4,8),(5,6),(5,10),(6,11),(7,10),(9,11)],12)
[6,1,3,2,5,4,10,7,9,8,12,11]=>[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,9),(1,11),(2,7),(3,8),(4,5),(4,11),(5,10),(6,7),(6,10),(8,11),(9,10)],12)
[6,1,3,2,5,4,12,7,9,8,11,10]=>[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,9),(1,8),(2,10),(3,11),(4,5),(4,6),(5,7),(6,10),(7,11),(8,10),(9,11)],12)
[8,1,3,2,5,4,7,6,10,9,12,11]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]]=>([(0,9),(1,10),(2,11),(3,5),(4,6),(5,10),(6,11),(7,8),(7,9),(8,10),(9,11)],12)
[8,1,3,2,5,4,7,6,12,9,11,10]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]]=>([(0,9),(1,8),(2,10),(3,11),(4,5),(4,6),(5,7),(6,8),(7,11),(9,10),(10,11)],12)
[10,1,3,2,5,4,7,6,9,8,12,11]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]]=>([(0,11),(1,9),(2,10),(3,7),(4,5),(5,10),(6,8),(6,11),(7,8),(9,10),(9,11)],12)
[4,7,6,2,3,1,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,6,1,3,2,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,3,5,6,4,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,6,3,4,7,8,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,3,1,8,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,1,3,6,8,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,3,8,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,7,8,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,5,8,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,3,6,2,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,6,3,2,5,8]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,5,8,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,7,2,3,8,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,8,1,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,2,6,8,7,4,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,2,3,4,5,6,8,9,7,10]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,8,3,7,5,2,6,4]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,3,6,5,2,7,4]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,3,8,5,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,1,5,2,6,8,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,5,2,6,8,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,6,7,5,2,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,2,4,5,1,7,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,6,7,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,4,5,2,6,8,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,2,3,8,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,7,6,5,2,8,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,5,6,2,7,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,5,3,6,1,7,2]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,7,3,5,6,1]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,4,8,3,2,6,7]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[2,6,3,1,7,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,1,7,8,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,5,8,6,7,4,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,1,3,5,2,6,4]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,8,2,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,6,5,8,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,8,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,6,3,2,1,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,4,7,6,8,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,4,7,1,8,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,7,4,6,1,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,5,7,8,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,7,1,5,4,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,4,7,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,2,9,4,5,6,3,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],[.,.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[7,1,2,3,4,9,5,8,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,2,1,3,4,5,6,9,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[8,1,2,3,4,5,10,6,9,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,1,7,3,2,4,5,6]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,1,4,5,6,9,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,4,7,1,5,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,5,2,8,7,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,4,5,2,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,7,8,6,9,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,2,3,4,5,7,8,9,6,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[2,3,4,5,1,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,1,7,8,9,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,3,2,5,4,6,7,8,9]=>[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[4,1,7,2,5,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,5,8,6,1,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,1,7,2,8,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,7,1,8,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,2,5,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,4,3,6,8,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,7,3,5,1,6,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,8,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,2,6,7,4,3,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,6,4,3,2,7]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,3,5,2,7,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,6,2,1,5,7,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,5,2,1,6,4,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,8,5,4,6,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,1,4,8,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,8,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,1,7,3,2,8,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,5,2,4,7,1,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,3,7,8,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,6,3,7,8,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,3,7,8,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,8,5,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,4,7,5,3,1,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,1,8,6,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,8,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,1,6,8,7,3,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,9,2,4,5,6,7,8,1]=>[[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,8,6,1,5,2,4,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,8,1,5,6,4,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,6,8,2,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,3,7,5,6,4]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,8,7,2,5,6,4,3]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,1,2,5,8,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,7,1,5,8,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,5,2,4,6,7,8,9]=>[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,4,7,5,2,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,7,6,8,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,7,2,8,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,3,6,8,4,7,2]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,1,3,8,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,4,8,5,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,3,1,6,8,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,4,6,7,3,2]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,5,6,8,2,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,8,5,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,1,7,5,6,3,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,7,5,2,6,3,4]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,7,6,3,4,5,8,2]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,7,4,5,6,2,3]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,4,7,5,8,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,2,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,5,6,3,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,6,5,8,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,5,8,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,8,1,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,5,7,2,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,2,1,3,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,6,7,2,4,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,7,5,2,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,6,4,8,3,2,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,1,5,6,4,8,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,1,4,7,8,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,2,8,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,1,7,8,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,3,8,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,7,1,5,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,5,3,1,7,6]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,2,7,5,8,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,2,9,6,3,10,8,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[[.,.],[.,.]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[4,8,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,2,1,7,3,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,4,3,2,1,7,8,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,6,4,3,2,1,7,8,9,10]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,5,3,2,1,6,7,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,7,5,4,3,2,1,8,9,10]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,7,4,3,2,1,5,8,9]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[5,6,4,3,2,7,1,8,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,6,8,9,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,11,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[7,6,8,5,9,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,9,10,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[6,3,1,8,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,7,8,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,8,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,2,1,3,6,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,1,7,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,3,4,1,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,3,5,2,6,4,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,6,1,8,5,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,8,7,4,5,1,6]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,5,7,4,2,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,5,8,4,6,7,1,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,8,7,6,4,1,2,3,5]=>[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[9,8,7,6,5,3,1,2,4]=>[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[7,1,2,6,4,3,5,8]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,2,6,5,3,4,8]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,8,6,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,2,4,8,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,5,6,4,8,1,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,3,6,5,7,1,4]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,2,8,7,6,5,4,3,1]=>[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,4,3,1,6,5,2,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,2,6,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,4,8,7,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,4,1,2,3,7,8,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,6,7,2,5,8,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,8,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,4,6,3,8,1,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,4,7,8,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,4,8,3,1,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,1,3,7,4,6,5]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,5,8,2,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,2,7,5,3,4,6]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,2,8,1,3,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,5,1,8,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,4,1,3,7,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,1,6,2,3,7,4,5]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,2,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,6,7,5,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,7,2,5,3,8,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,5,7,4,2,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,4,7,6,3,8,1,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,6,8,5,1,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,7,1,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,5,7,1,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,7,6,1,8,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,1,6,3,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,8,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[9,1,10,7,5,3,2,4,6,8]=>[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[10,5,1,6,2,7,3,8,4,9]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]],.]=>([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[11,1,12,9,7,5,3,2,4,6,8,10]=>[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],[.,.]]=>([(0,11),(1,8),(2,8),(3,9),(4,10),(5,7),(6,7),(6,11),(8,10),(9,10),(9,11)],12)
[8,2,7,5,4,1,6,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,8,5,7,1,6,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,6,7,4,8,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,8,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,8,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,4,1,6,3,5,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,1,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,5,4,2,6,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,8,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,7,3,1,4,5,6]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,2,4,7,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[10,2,3,1,4,5,6,7,8,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,2,3,4,1,5,6,7,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,9,8,6,5,7,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[3,8,6,7,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,5,1,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,7,5,4,6,1,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,7,6,3,1,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,7,1,3,2,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,7,5,3,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,6,3,1,5,7,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,1,4,5,6,8,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,3,4,2,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,8,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,2,3,5,1,8,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,6,5,2,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,3,8,6,4,1,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,1,5,4,3,2,8]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,4,1,3,2,7,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,3,4,7,6,1,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,2,1,6,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,2,1,6,7,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,8,6,2,4,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,8,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,8,1,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,2,5,7,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,8,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,6,4,8,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,1,2,7,5,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,4,3,8,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,5,1,6,8,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,7,2,5,8,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,1,8,6,4,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,8,7,3,1,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,8,7,2,6,1,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,4,5,1,6,7,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,3,1,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,5,1,8,3,6,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,3,8,6,1,2,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,5,7,1,3,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,2,3,5,6,8,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,1,3,4,7,2,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,4,2,7,6,1,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,5,6,4,1,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,4,2,3,6,5,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,4,2,3,7,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,2,4,5,3,1,6,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,6,3,1,4,5,8,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,4,6,2,1,8,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,1,7,8,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,4,7,8,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,3,7,6,5,1,8,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,1,4,8,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,2,8,5,4,1,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,2,4,5,6,9,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,2,7,3,5,4,6]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,2,6,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,7,5,6,3,4,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,4,7,2,3,6,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,1,2,3,6,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,3,4,2,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,4,5,6,3,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,3,5,6,7,8,4,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[2,1,5,3,6,7,4,8,9]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,3,5,6,4,2,7,8,9]=>[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,3,4,2,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,2,4,5,6,3,7,8,9,10]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,2,3,5,6,7,8,4,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[6,2,3,8,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,6,4,7,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,2,3,6,4,8,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,3,7,2,8,1,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,1,3,2,6,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,7,5,1,3,2,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,3,1,6,2,7,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,4,1,8,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,6,3,2,7,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,2,1,6,4,7,3,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,1,6,2,7,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,7,2,5,4,1,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,3,5,4,2,8,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,2,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,2,8,6,5,1,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,8,5,4,7,1,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,3,6,2,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,3,2,4,8,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,2,7,4,1,5,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,6,5,8,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,5,7,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,5,8,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,4,1,6,8,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,7,2,3,8,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,8,5,7,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,1,4,3,6,5,8,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,5,6,3,4,8,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,1,8,5,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,1,5,4,2,8,3]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,6,8,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,7,5,3,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,2,6,8,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,4,6,2,8,7,3,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,7,6,1,2,8,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,7,2,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,7,5,9,8,10,6,4,1]=>[[.,.],[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(5,9),(7,9),(8,9)],10)
[2,4,6,9,7,8,5,3,1,10]=>[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[7,4,8,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,4,3,6,1,8,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,4,7,8,6,1,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,3,7,1,4,2,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,3,5,1,8,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,7,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,4,6,7,8,2,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,7,3,8,1,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,6,7,8,9,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[5,8,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,4,7,5,8,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,8,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[4,1,7,6,2,8,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,8,2,7,5,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,7,2,8,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,5,6,3,7,4,8,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,3,8,4,7,1]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,5,3,7,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,6,3,5,4,8,2]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,3,2,8,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,6,1,7,5,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,5,2,7,4,3,6]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,1,4,2,8,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,8,1,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,6,5,3,8,2,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,4,5,8,7,1,3,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,6,8,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,7,5,6,4,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,1,8,7,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,7,5,3,6,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,7,2,3,1,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,8,5,7,6,1,3,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,7,2,6,4,5,3]=>[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,1,6,4,5,3]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,4,7,6,2,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,1,6,4,3,5,2]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,1,7,3,6,5,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,8,9,1,10,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[2,5,6,7,8,1,9,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[4,5,6,7,1,2,8,3,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,5,6,7,8,1,2,9,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[2,4,3,6,5,9,7,8,10,1]=>[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,9),(2,8),(3,5),(4,6),(5,8),(6,9),(7,8),(7,9)],10)
[2,4,3,6,5,8,7,11,9,10,12,1]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]]=>([(0,11),(1,10),(2,8),(3,9),(4,6),(5,7),(6,10),(7,11),(8,9),(8,10),(9,11)],12)
[4,5,1,8,7,3,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,5,2,6,7,4,1]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,8,5,2,6,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,4,7,5,2,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,4,1,2,6,8,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,6,7,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,2,6,3,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,4,5,1,7,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,6,3,5,4,1,7,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,4,5,1,3,6,2]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,2,5,3,1,4,7]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,3,1,2,5,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,7,3,5,1,6,4,2]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,3,2,6,1,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,7,6,1,5,2,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,4,3,6,1,8,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,8,5,3,1,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,8,4,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,5,8,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,4,8,7,6,2,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,4,1,5,3,8,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,3,4,1,7,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,4,3,6,1,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,5,3,1,2,7,4]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,4,6,5,3,2,8,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,7,2,3,8,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,4,2,6,5,7,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,7,4,2,8,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,2,1,7,4,6,8,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,7,1,4,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,5,3,1,2,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,2,4,6,1,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,3,4,7,2,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,6,1,5,7,3,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,7,2,1,3,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,7,3,1,2,4,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,7,6,2,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,3,8,6,7,2,5,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,2,3,6,1,8,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,2,6,4,7,1,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,5,7,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,4,6,8,3,5,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,6,8,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,5,7,6,8,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,7,4,6,8,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,6,8,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,3,8,6,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,1,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,6,3,7,8,9,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,4,5,6,2,7,8,9,10,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,1,5,2,6,4,7,3]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,3,4,7,6,2,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,8,5,7,2,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,8,2,7,5,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[7,6,8,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,5,3,8,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,6,1,4,2,8,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,7,2,6,4,5,1,3]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,3,4,7,9,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,2,4,8,5,7,3,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,4,6,8,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,2,5,1,6,4,8,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,7,1,5,6,4,8,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,8,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,8,5,7,6,3,2]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,1,5,6,4,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,7,2,8,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,2,5,1,6,8,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,7,2,1,3,6,5,4]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,3,2,8,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,2,1,8,4,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,5,1,7,6,4,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,4,2,1,6,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,4,7,6,2,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[3,5,2,8,7,1,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,5,4,1,8,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,5,3,1,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,2,6,7,3,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,6,7,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,7,1,8,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,5,6,1,7,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,1,2,5,7,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,1,5,4,2,7,3,8]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,4,2,3,1,7,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,4,6,1,8,2,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,4,7,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,4,5,2,7,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,3,5,1,6,2,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,3,6,2,1,4,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,3,7,1,8,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,1,2,7,6,4,5,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,2,7,6,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,6,1,7,2,4,3,8]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,5,6,8,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,7,1,3,4,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,1,5,6,4,8]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,6,5,3,4,1,7,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,6,1,3,5,4,7,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,6,1,5,2,8,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,1,5,4,2,7,8,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,1,5,2,7,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,6,5,1,3,7,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,1,8,6,2,7,4,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,8,2,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,4,1,7,2,8,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,8,6,1,5,7,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,3,4,2,5,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,2,3,1,6,8,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,2,3,7,8,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,3,6,2,5,8,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,8,10,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[8,7,9,6,5,4,2,1,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,7,6,5,4,2,1,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,7,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,4,3,1,7,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,1,4,3,7,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,8,2,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,5,1,3,7,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,6,8,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,6,4,1,8,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,6,1,3,8,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,7,4,2,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,4,8,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,1,6,4,7,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,3,8,6,5,2,7,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,3,8,5,6,4,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,8,5,7,4,6,3]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,8,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,8,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,5,4,3,7,1,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,1,5,3,4,7,2,6]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,8,7,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,5,8,6,4,3,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,6,4,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,6,1,8,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,3,8,6,1,2,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,1,4,6,2,7,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,6,2,1,4,8,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,2,3,7,1,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,7,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,3,2,7,8,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,7,6,1,5,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,5,8,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,1,7,8,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[9,3,4,5,2,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,4,3,8,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,4,7,2,1,3,8,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,6,4,5,7,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,7,4,6,1,5,8,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,4,6,5,2,8,1,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,7,5,8,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,5,7,6,4,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,1,4,6,2,7,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,2,5,3,7,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,8,3,5,1,2,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,1,3,7,2,8,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,5,4,1,7,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,1,5,8,2,6,7,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,3,1,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,2,3,7,1,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,1,6,4,8,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,1,3,7,5,8,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,2,4,5,7,1,8,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,3,8,7,1,4,6,5]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,5,6,8,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,8,2,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[9,2,3,4,5,1,6,7,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,2,3,4,5,6,9,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[10,2,3,4,5,6,7,1,8,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,2,3,4,5,6,1,7,8,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,2,3,4,5,1,6,7,8,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,2,3,9,1,5,6,7,8]=>[[[.,.],[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,2,3,4,1,5,6,7,8,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,2,9,1,4,5,6,7,8]=>[[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,3,2,7,6,1,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,4,2,8,7,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,2,6,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,4,7,1,6,2,8,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,8,7,6,2,1,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,4,7,1,2,3,8,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[10,6,9,5,4,3,8,2,7,1]=>[[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[4,5,10,6,8,2,7,1,9,3]=>[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,8),(1,8),(2,9),(3,9),(4,7),(4,9),(5,6),(5,8),(6,7)],10)
[4,9,3,10,7,1,8,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,9),(1,8),(2,6),(3,4),(4,8),(5,7),(5,9),(6,7),(8,9)],10)
[6,1,7,3,8,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,1,6,4,7,5]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,8,7,2,3,4,6,5]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,3,7,6,2,5,4]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,8,2,5,6,4,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,3,2,7,4,6,8,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,3,8,4,6,2,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,3,6,7,4,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,6,4,2,1,7,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,7,6,3,8,4,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,4,7,1,2,5,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,6,7,8,9,1,2,10,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,5,6,7,8,1,3,9,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,7,5,8,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,1,9,8,7,6,5,3,4]=>[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,4,5,1,6,8,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,8,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,3,2,5,7,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,1,5,3,7,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,1,3,8,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[9,7,3,6,1,2,4,10,8,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,9),(1,4),(2,5),(3,6),(4,8),(5,9),(6,7),(7,8),(8,9)],10)
[11,7,1,3,9,5,12,8,2,4,10,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]]=>([(0,10),(1,8),(2,8),(3,9),(4,9),(5,7),(6,10),(6,11),(7,11),(8,11),(9,10)],12)
[11,9,3,7,1,5,12,10,4,8,2,6]=>[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]=>([(0,10),(1,8),(2,8),(3,9),(4,6),(5,7),(6,11),(7,10),(8,9),(9,11),(10,11)],12)
[4,1,7,8,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,2,1,7,3,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,4,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,5,3,6,7,8,9,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,7,5,8,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,8,1,6,4,7,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,4,7,5,1,8,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,3,7,1,8,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,1,2,7,4,8,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,6,5,7,8,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,6,5,1,8,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,8,1,2,5,4,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,8,4,3,5,1,7,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,2,4,7,6,8,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,5,7,4,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,7,6,8,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,4,1,5,3,8]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,5,6,1,4,2,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,3,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,8,1,7,3,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,7,1,6,8,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,7,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,7,3,8,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,4,1,3,6,7,5,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,3,1,8,6,7,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,6,4,2,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,7,1,6,5,8,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,6,1,7,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,7,1,4,8,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,7,5,4,1,3,2,8]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,7,1,4,3,5,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[9,5,4,3,2,1,6,7,8]=>[[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[8,3,2,6,5,1,7,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,6,8,4,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,8,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,6,4,8,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[2,8,5,6,4,1,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,3,5,8,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[3,7,8,2,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,1,4,3,2,7,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,8,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,3,7,8,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,6,1,5,2,3,8,4]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,1,8,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,1,6,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,8,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,2,8,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,3,7,8,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,4,8,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,5,6,8,1,4,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,6,5,2,3,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,1,6,5,2,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,7,8,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,5,7,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,8,6,2,4,7,3,1]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,6,2,5,7,3,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,6,5,3,2,7,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,6,8,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,4,7,5,3,2,6,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,5,4,3,2,8,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,7,5,3,2,8,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,8,7,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,7,6,1,8,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[2,7,8,5,1,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,5,6,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,3,6,4,5,2,7]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,2,3,4,7,5,9,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[5,1,6,2,7,3,9,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,5,3,9,8,7,6,4]=>[.,[.,[[.,[.,.]],[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[4,3,1,6,2,5,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,2,1,8,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,3,1,4,7,8,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,2,4,8,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,1,3,5,7,4,2]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,8,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,8,5,1,4,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,2,4,1,6,8,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,2,5,4,7,6,10,8,9]=>[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[2,5,3,4,6,8,1,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,2,5,6,3,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,3,1,8,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,3,1,4,6,2,8,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,4,1,2,5,6,3,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,4,1,3,6,8,7,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,7,4,8,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,3,1,2,5,7,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,2,3,4,5,8,9,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,2,4,7,8,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,3,6,5,7,4,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,2,6,5,7,4,3,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,7,1,5,2,6,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,6,3,7,5,4,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,5,3,7,6,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,7,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,8,4,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,6,5,8,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,5,4,7,3,8,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,1,8,4,2,7,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,8,7,4,1,3,6,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,2,3,1,7,6,4,5]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,3,1,6,4,5]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,5,8,3,1,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,2,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,5,7,3,1,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,2,7,3,1,4,5,6]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,8,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,7,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,1,3,6,5,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,6,3,2,5,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,3,2,6,5,7,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,3,6,5,2,7,1]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,6,2,5,4,7,3]=>[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,4,3,8,6,1,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,8,5,4,7,1]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,1,3,2,5,8,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,4,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,4,6,5,3,7,2]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,5,4,6,1,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,3,5,6,1,8,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[4,5,1,7,6,8,2,9,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,[.,.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[5,7,6,3,4,2,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,6,7,2,3,5,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,5,4,8,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,4,3,6,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,9,8,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,1,3,4,5,9,8,6,7]=>[[.,.],[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,2,3,4,5,9,6,7,10,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[9,1,7,2,3,4,5,8,6]=>[[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,8,5,6,2,3,7,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,6,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,8,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,8,3,6,1,7,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,5,8,7,2,3,1,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,2,6,4,3,7,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[6,3,1,8,7,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,3,2,7,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,3,6,8,7,4,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,7,1,3,6,2,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,5,2,3,6,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,6,4,1,2,5,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,1,3,2,5,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,3,2,6,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,1,3,6,2,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,8,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,5,2,3,6,1,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,8,6,3,4,7,2,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,5,4,2,8,1,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,6,5,1,7,8,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,7,1,3,2,8,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,6,5,1,8,2,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,8,7,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,2,3,7,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,3,1,5,4,8,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,7,6,3,5,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,3,4,8,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,8,2,3,4,7,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,3,2,6,4,5,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,3,1,4,7,5,2,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,1,6,4,8,7,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,8,5,7,2,6,1]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,1,2,7,6,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,8,5,6,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,3,6,2,5,8,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,8,7,1,6,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,5,3,8,4,7,2,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,3,1,6,5,7,4]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,2,7,1,3,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,2,3,1,6,7,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,7,2,3,6,5,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,2,6,4,7,1,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,5,8,6,2,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,5,1,7,4,8,3,2]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[10,9,8,6,7,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[7,6,3,5,1,4,8,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,5,4,1,7,2,3,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,3,6,1,7,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,1,2,6,4,8,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,5,1,8,6,2,4,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,5,7,4,3,2,1,9]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,8,7,6,4,3,2,5,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[9,8,7,6,4,3,5,2,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[10,9,7,6,8,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[6,7,5,8,4,3,2,1,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,8,7,6,9,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[9,8,7,6,4,5,2,3,1]=>[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[9,8,7,6,5,3,4,2,1]=>[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,8,7,5,4,6,2,3]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,1,6,7,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,6,4,7,5,3,2]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,4,8,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,3,5,8,2,7]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,4,3,7,8,6,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,8,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[5,7,6,3,4,2,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,3,7,6,5,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,7,6,5,4,2,3,1,9]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,3,6,1,2,7,8,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,1,3,5,8,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,7,1,5,8,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,3,6,7,2,4,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,6,2,5,7,4,3]=>[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,7,1,5,3,6,8,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,8,7,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,6,2,4,7,5,3]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,6,4,2,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,6,4,1,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,7,5,6,4,1,8,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,8,2,3,4,5,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,6,5,4,3,7,2,1]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[2,8,5,7,3,4,6,1]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,2,6,3,1,7,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,7,8,3,9,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[3,4,5,2,1,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,5,9,7,1,8,2,6,4,10]=>[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[6,7,2,3,5,8,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,4,5,8,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[2,1,3,8,5,4,6,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,6,8,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,8,6,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,2,5,3,8,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,4,2,5,1,8,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,8,3,4,5,7,2,6]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,7,6,2,1,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[7,8,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,3,7,8,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,6,8,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[7,5,8,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[6,5,8,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,5,3,4,6,2,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,8,7,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,2,4,8,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,2,3,7,4,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,1,3,2,6,5,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,7,2,3,5,4,6,1]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,7,6,8,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,7,3,1,8,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,8,5,2,1,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,8,7,1,2,5,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,7,2,6,1,4,3,5]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,1,7,3,8,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,1,8,6,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,1,3,5,8,2,6,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,8,5,7,4,6,3,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,4,7,6,8,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,7,2,8,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,7,1,6,4,2,3,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,2,7,5,1,6,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[2,8,4,6,7,1,5,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,8,5,1,4,2,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,7,6,2,5,3,8,4]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,5,2,4,3,8,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,8,5,1,4,3,6,7]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[9,7,6,5,4,3,2,8,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[3,1,2,5,7,6,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,1,7,3,2,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[4,7,2,3,5,1,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,8,2,3,7,5,1,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,7,2,4,3,5,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,6,2,4,3,5,1,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[8,1,2,4,7,3,5,6]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,6,2,8,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,1,5,7,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,1,7,5,6,8,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,7,6,2,1,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,8,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,8,7,6,3,5,2]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,7,5,6,9,8]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[4,6,7,5,2,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,5,3,1,8,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,5,3,8,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,3,8,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,7,5,2,3,1,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,7,4,5,3,1,6]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,2,4,7,5,3,1,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,2,6,7,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,4,6,7,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,4,5,8,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,5,3,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,7,2,4,5,3,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,8,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,4,7,5,3,1,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,8,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,8,4,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,8,6,2,5,7,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,1,6,2,5,7,3,4]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,8,1,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,1,5,3,2,7,4,6]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,3,7,6,2,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,2,3,4,6,5,8,7,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[4,6,1,3,5,8,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,5,1,3,8,7,2,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,2,7,1,8,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,5,8,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,2,8,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,7,6,1,8,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[10,8,9,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,4,5,8,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[11,9,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]=>([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[9,6,7,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[2,5,1,6,3,7,4,8,9]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[4,2,5,6,1,7,3,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,6,2,7,5,8,1,9,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[3,4,5,1,6,2,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,5,6,7,1,8,2,9,3,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[4,6,2,7,5,8,1,9,3,10]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,8),(3,6),(4,8),(4,9),(5,7),(5,9),(6,7)],10)
[5,3,7,2,8,6,9,1,10,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,4),(3,6),(4,9),(5,8),(5,9),(6,7),(7,8)],10)
[1,6,2,3,8,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,4,2,6,8,5,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[9,8,7,6,5,2,3,4,1]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[6,1,7,8,9,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,6,7,1,9,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[[.,.],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,6,7,8,2,9,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,1,6,7,8,9,10,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,4,1,3,6,8,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,6,2,8,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,8,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[3,8,1,2,4,7,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,4,5,7,3,6,8,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,3,8,1,4,6,5,7]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[3,6,2,4,7,5,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,1,8,4,6,2,5,7]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,2,7,3,5,8,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,1,8,4,5,6,2,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,2,7,8,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,4,2,8,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,3,7,4,8,1,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,4,6,3,5,1,7,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,2,6,8,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,4,5,7,1,6,8,3]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,4,2,6,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[4,1,5,7,8,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,4,8,2,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,2,3,5,8,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,8,5,7,6,3,4,1]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,5,7,8,6,4,1,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,4,1,6,2,5,8,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,2,4,8,7,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,5,6,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,8,1,4,5,6,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,7,8,9,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[7,8,9,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,10,1,7,8,5,6,3,4,2]=>[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]=>([(0,9),(1,7),(2,7),(3,8),(4,6),(5,6),(5,9),(7,8),(8,9)],10)
[8,3,1,2,5,4,7,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[8,1,5,3,7,4,2,6]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,2,4,8,6,7,3,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[8,1,2,6,5,7,3,4]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,1,2,6,5,8,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[2,6,1,4,7,5,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[3,1,5,7,2,6,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,1,7,5,2,6,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,2,7,5,1,6,8,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,7,3,1,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,7,2,1,3,4,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,6,3,1,2,7,8,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,5,6,8,4,7,1]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,4,5,8,3,6,7,1]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,9,8,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[4,5,8,7,6,3,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,5,9,8,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[[[.,.],.],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,4,6,5,3,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,1,4,3,6,2,5,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,2,8,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[5,2,1,3,8,4,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,5,8,2,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,1,3,8,6,4,5,7]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,3,6,4,5,8,2,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[6,1,4,3,5,8,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,1,3,8,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,3,8,6,2,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,1,3,8,6,2,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,5,4,6,3,8,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,9,7,6,5,4,3,2,10,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[7,6,8,5,4,3,2,9,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,4,7,8,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,6,7,1,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,5,2,4,8,6,7,1]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,6,1,4,8,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,7,1,5,6,2,3]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,5,8,1,7,3,2,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,6,7,1,3,8,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,4,5,6,1,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,6,3,1,4,7,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[2,9,3,4,5,6,1,7,8]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,7,3,4,1,8,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,6,4,5,1,3,7,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,4,8,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,4,6,5,1,3,7,2]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[4,5,3,8,7,1,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[8,5,4,7,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[2,3,7,8,1,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,2,3,5,4,1,7,6]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,3,8,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[7,2,3,6,4,1,8,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,5,2,4,1,8,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,7,2,4,1,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[6,2,5,4,1,8,3,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,2,6,3,7,5,9,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,2,6,3,5,8,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,2,6,3,7,5,9,8,1,10]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,9),(1,7),(2,7),(3,8),(4,8),(5,8),(5,9),(6,7),(6,9)],10)
[4,2,6,3,9,5,1,7,8]=>[[[.,.],[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[7,4,2,6,8,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,5,2,4,6,3,1,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,1,2,8,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,4,1,8,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,4,1,6,3,5,2,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,3,4,1,6,8,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,6,2,3,5,7,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[8,6,2,5,7,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[6,3,4,8,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[8,5,1,2,7,4,6,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,2,6,8,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,7,5,4,8,2,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,5,4,2,6,3,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[3,4,5,6,9,1,7,8,2]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,9,7,6,5,4,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[8,7,9,6,5,4,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,7,8,6,5,4,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[10,8,7,6,5,4,3,2,9,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,3,2,4,5,6,9,7,8]=>[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[2,3,1,4,5,6,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,8,6,1,2,4,3,7]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,5,7,3,6,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,2,1,6,8,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,3,1,7,8,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,2,5,7,4,1,8,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,6,1,8,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[6,8,4,5,1,3,7,9,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],[.,.]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[4,7,1,3,5,6,8,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[4,3,5,7,8,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[5,3,2,7,6,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,7,4,6,2,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,3,2,1,8,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,7,6,3,2,1,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[3,2,7,5,4,1,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,7,3,5,4,2,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[5,3,7,4,1,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,3,5,4,1,6,8,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[7,5,1,6,8,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,3,1,7,6,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,1,5,3,2,4,8,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,1,5,2,4,3,6,8]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,7,8,9,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[9,10,7,6,5,4,3,2,1,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,8,3,6,2,4,7,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,8,7,5,6,4,2,3]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,8,2,1,5,4,3,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,3,2,1,5,8,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,3,5,6,2,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[6,3,5,2,7,8,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,5,3,1,6,8,2,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,4,6,7,5,1,8,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,4,1,2,5,6,8,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[4,8,2,6,7,1,5,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[6,5,8,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,1,9,2,4,5,6,3,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],[.,.]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,5,2,4,7,6,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[2,5,4,7,1,8,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,2,4,6,3,5,7]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,4,6,7,8,9,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,7,8,9,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[6,5,7,8,9,10,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[5,4,6,7,8,3,9,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[5,4,6,7,8,9,10,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[3,5,6,7,8,9,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[4,5,6,7,8,9,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,5,6,7,8,9,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[3,7,8,4,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,3,8,6,7,4,5,2]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[2,6,5,3,7,1,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,7,1,3,6,4,8,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[8,2,5,4,1,7,3,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[8,1,7,6,4,2,3,5]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,8,6,3,7,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,7,3,4,2,8,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[5,8,3,4,2,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,6,4,2,3,8,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,5,6,8,2,4,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,7,3,2,5,6,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[6,4,8,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[5,6,2,8,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,2,8,3,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[3,7,5,6,4,2,8,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[5,2,3,8,6,1,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,4,3,8,5,6,2,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,8,2,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[4,5,8,7,2,3,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,8,6,1,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[8,3,6,5,2,7,1,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[5,1,3,6,4,2,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[6,1,2,4,7,5,3,8]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[8,3,1,4,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[7,8,5,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[6,4,5,1,8,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[8,6,2,1,7,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[9,4,3,5,6,7,8,2,1]=>[[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[9,4,3,5,6,7,2,8,1]=>[[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[7,8,6,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[5,6,3,4,7,2,8,1,9]=>[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[4,3,6,2,5,7,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,6,5,7,3,4,8,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,2,3,4,5,8,6,9,7,10]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]]=>([(0,6),(1,8),(2,7),(3,4),(3,6),(4,5),(5,9),(7,9),(8,9)],10)
[1,2,3,4,5,9,6,10,7,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]]=>([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[8,2,6,5,1,7,4,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[7,6,4,1,2,5,8,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[2,6,5,4,8,7,1,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[5,6,7,1,3,2,4,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[7,1,8,4,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,8,5,2,7,6,4,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,7,6,8,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,7,8,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[4,6,5,7,1,8,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[7,5,3,6,8,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,2,5,6,4,8,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[7,4,6,2,8,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[9,7,6,5,4,3,8,2,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[9,8,6,5,4,7,3,2,1]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[10,8,7,6,5,4,3,9,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[10,9,7,6,5,4,8,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,6,3,4,2,5,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,5,7,6,2,3,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,4,3,7,6,2,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[3,7,4,6,8,1,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[4,8,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,6,1,4,3,8,7,2]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[5,8,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[4,1,3,7,8,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.
searching the database
Sorry, this map was not found in the database.