Identifier
Mp00031: Dyck paths to 312-avoiding permutationPermutations
Mp00072: Permutations binary search tree: left to rightBinary trees
Mp00011: Binary trees to graph Graphs
Images
=>
Cc0005;cc-rep-0Cc0010;cc-rep-2Cc0020;cc-rep-3
[1,0]=>[1]=>[.,.]=>([],1) [1,0,1,0]=>[1,2]=>[.,[.,.]]=>([(0,1)],2) [1,1,0,0]=>[2,1]=>[[.,.],.]=>([(0,1)],2) [1,0,1,0,1,0]=>[1,2,3]=>[.,[.,[.,.]]]=>([(0,2),(1,2)],3) [1,0,1,1,0,0]=>[1,3,2]=>[.,[[.,.],.]]=>([(0,2),(1,2)],3) [1,1,0,0,1,0]=>[2,1,3]=>[[.,.],[.,.]]=>([(0,2),(1,2)],3) [1,1,0,1,0,0]=>[2,3,1]=>[[.,.],[.,.]]=>([(0,2),(1,2)],3) [1,1,1,0,0,0]=>[3,2,1]=>[[[.,.],.],.]=>([(0,2),(1,2)],3) [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>([(0,3),(1,2),(2,3)],4) [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>([(0,3),(1,2),(2,3)],4) [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>([(0,3),(1,3),(2,3)],4) [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>([(0,3),(1,3),(2,3)],4) [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>([(0,3),(1,2),(2,3)],4) [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4) [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4) [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4) [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4) [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>([(0,3),(1,2),(2,3)],4) [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
Map
to 312-avoiding permutation
Description
Sends a Dyck path to the 312-avoiding permutation according to Bandlow-Killpatrick.
This map is defined in [1] and sends the area (St000012The area of a Dyck path.) to the inversion number (St000018The number of inversions of a permutation.).
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.