Identifier
Mp00228:
Dyck paths
—reflect parallelogram polyomino⟶
Dyck paths
Mp00140: Dyck paths —logarithmic height to pruning number⟶ Binary trees
Mp00013: Binary trees —to poset⟶ Posets
Mp00140: Dyck paths —logarithmic height to pruning number⟶ Binary trees
Mp00013: Binary trees —to poset⟶ Posets
Images
=>
Cc0005;cc-rep-0Cc0005;cc-rep-1Cc0010;cc-rep-2Cc0014;cc-rep-3
[1,0]=>[1,0]=>[.,.]=>([],1)
[1,0,1,0]=>[1,1,0,0]=>[[.,.],.]=>([(0,1)],2)
[1,1,0,0]=>[1,0,1,0]=>[.,[.,.]]=>([(0,1)],2)
[1,0,1,0,1,0]=>[1,1,0,1,0,0]=>[[[.,.],.],.]=>([(0,2),(2,1)],3)
[1,0,1,1,0,0]=>[1,1,0,0,1,0]=>[[.,[.,.]],.]=>([(0,2),(2,1)],3)
[1,1,0,0,1,0]=>[1,0,1,1,0,0]=>[.,[[.,.],.]]=>([(0,2),(2,1)],3)
[1,1,0,1,0,0]=>[1,0,1,0,1,0]=>[.,[.,[.,.]]]=>([(0,2),(2,1)],3)
[1,1,1,0,0,0]=>[1,1,1,0,0,0]=>[[.,.],[.,.]]=>([(0,2),(1,2)],3)
[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]=>[[[[.,.],.],.],.]=>([(0,3),(2,1),(3,2)],4)
[1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0]=>[[[.,[.,.]],.],.]=>([(0,3),(2,1),(3,2)],4)
[1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0]=>[[.,[[.,.],.]],.]=>([(0,3),(2,1),(3,2)],4)
[1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0]=>[[.,[.,[.,.]]],.]=>([(0,3),(2,1),(3,2)],4)
[1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0]=>[[[.,.],[.,.]],.]=>([(0,3),(1,3),(3,2)],4)
[1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0]=>[.,[[[.,.],.],.]]=>([(0,3),(2,1),(3,2)],4)
[1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0]=>[.,[[.,[.,.]],.]]=>([(0,3),(2,1),(3,2)],4)
[1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0]=>[.,[.,[[.,.],.]]]=>([(0,3),(2,1),(3,2)],4)
[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]=>[.,[.,[.,[.,.]]]]=>([(0,3),(2,1),(3,2)],4)
[1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0]=>[.,[[.,.],[.,.]]]=>([(0,3),(1,3),(3,2)],4)
[1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4)
[1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,0]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4)
[1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]=>[[[[[.,.],.],.],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>[[[[.,[.,.]],.],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]=>[[[.,[[.,.],.]],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>[[[.,[.,[.,.]]],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0]=>[[[[.,.],[.,.]],.],.]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]=>[[.,[[[.,.],.],.]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0]=>[[.,[[.,[.,.]],.]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]=>[[.,[.,[[.,.],.]]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>[[.,[.,[.,[.,.]]]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0]=>[[.,[[.,.],[.,.]]],.]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0]=>[[[[.,.],.],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]=>[.,[[[[.,.],.],.],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>[.,[[[.,[.,.]],.],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]=>[.,[[.,[[.,.],.]],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>[.,[[.,[.,[.,.]]],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0]=>[.,[[[.,.],[.,.]],.]]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]=>[.,[.,[[[.,.],.],.]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>[.,[.,[[.,[.,.]],.]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>[.,[.,[.,[[.,.],.]]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>[.,[.,[.,[.,[.,.]]]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0]=>[.,[.,[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,0]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0]=>[[[.,.],.],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0]=>[[[.,.],.],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]=>[[.,[.,.]],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0]=>[[.,[.,.]],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[[[[[[.,.],.],.],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[[[[[.,[.,.]],.],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[[[[.,[[.,.],.]],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[[[[.,[.,[.,.]]],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[[[[[.,.],[.,.]],.],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[[[.,[[[.,.],.],.]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[[[.,[[.,[.,.]],.]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[[[.,[.,[[.,.],.]]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[[[.,[.,[.,[.,.]]]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[[[.,[[.,.],[.,.]]],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[[.,[[[[.,.],.],.],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[[.,[[[.,[.,.]],.],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,[[.,.],.]],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[[.,[[.,[.,[.,.]]],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,[[[.,.],[.,.]],.]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[[.,[.,[[[.,.],.],.]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[[.,[.,[[.,[.,.]],.]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[[.,[.,[.,[[.,.],.]]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[[.,[.,[.,[.,[.,.]]]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[[.,[.,[[.,.],[.,.]]]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[.,[[[[[.,.],.],.],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[.,[[[[.,[.,.]],.],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[.,[[[.,[[.,.],.]],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[.,[[[.,[.,[.,.]]],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[.,[[[[.,.],[.,.]],.],.]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[.,[[.,[[[.,.],.],.]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[.,[[.,[[.,[.,.]],.]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[.,[[.,[.,[[.,.],.]]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[.,[[.,[.,[.,[.,.]]]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[.,[[.,[[.,.],[.,.]]],.]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[.,[[[.,.],[.,[.,.]]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[.,[[[[.,.],.],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[.,[[[.,[.,.]],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[.,[.,[[[[.,.],.],.],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[.,[.,[[[.,[.,.]],.],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[.,[.,[[.,[[.,.],.]],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[.,[.,[[.,[.,[.,.]]],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[.,[.,[[[.,.],[.,.]],.]]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[.,[.,[.,[[[.,.],.],.]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[.,[.,[.,[[.,[.,.]],.]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[.,[.,[.,[.,[[.,.],.]]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[.,[.,[.,[[.,.],[.,.]]]]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[[[[[[.,.],.],.],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[[[[[.,[.,.]],.],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[[[[.,[[.,.],.]],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[[[[[.,.],[.,.]],.],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[[[.,[[[.,.],.],.]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[[.,[[[[.,.],.],.],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[.,[[[.,[.,.]],.],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[.,[[.,[[.,.],.]],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[[.,[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[.,[.,[[[.,.],.],.]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[[.,[.,[[.,[.,.]],.]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[[.,[.,[.,[[.,.],.]]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[.,[[[[[.,.],.],.],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[.,[[[[.,[.,.]],.],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[.,[[[.,[[.,.],.]],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[.,[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[.,[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[.,[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[.,[.,[[[[.,.],.],.],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[.,[.,[[[.,[.,.]],.],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[.,[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[.,[.,[.,[[[.,.],.],.]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[.,[[[[[[.,.],.],.],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[.,[[[[[.,[.,.]],.],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[.,[[[[.,[[.,.],.]],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[.,[[[[.,[.,[.,.]]],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[.,[[[.,[[[.,.],.],.]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[.,[[[.,[[.,[.,.]],.]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[.,[[[.,[.,[[.,.],.]]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[.,[[.,[[[[.,.],.],.],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[.,[[.,[[[.,[.,.]],.],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[.,[[.,[.,[[[.,.],.],.]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[.,[.,[[[[[.,.],.],.],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[.,[.,[[[[.,[.,.]],.],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[.,[.,[[[.,[[.,.],.]],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[.,[.,[[.,[[[.,.],.],.]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[[.,[.,[[[.,.],[.,.]],.]]],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[.,[[[.,[[.,[.,.]],.]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[.,[[.,[.,[[[.,.],.],.]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[.,[.,[[[[.,[.,.]],.],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
Map
reflect parallelogram polyomino
Description
Reflect the corresponding parallelogram polyomino, such that the first column becomes the first row.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
Map
logarithmic height to pruning number
Description
Francon's map from Dyck paths to binary trees.
This bijection sends the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path., to the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree.. The implementation is a literal translation of Knuth's [2].
This bijection sends the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path., to the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree.. The implementation is a literal translation of Knuth's [2].
Map
to poset
Description
Return the poset obtained by interpreting the tree as a Hasse diagram.
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