Identifier
Mp00119: Dyck paths to 321-avoiding permutation (Krattenthaler)Permutations
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]=>[3,1,2]=>[[.,[.,.]],.]=>([(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]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>([(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]=>[2,4,1,3]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,0,0,0,1,0]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,0,0,1,0,0]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,0,1,0,0,0]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4) [1,1,1,1,0,0,0,0]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]=>([(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]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>([(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]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,1,0,0,0,0]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>([(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]=>[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]=>([(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]=>[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,1,1,0,0,0,0]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,0,1,0,1,0]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,1,0,1,0,0]=>[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,0,0,0,1,0]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,0,0,0,1,0]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,0,1,0,0,0,0]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]=>([(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]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>([(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]=>[1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]=>([(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]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(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]=>[1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,2,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,2,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]=>([(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]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(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]=>[2,1,4,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(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]=>[2,3,1,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(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]=>[2,3,4,6,1,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,1,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,1,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,1,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,1,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,1,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,1,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,1,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,5,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,1,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,1,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]=>([(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]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>([(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]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(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]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(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]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(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]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(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]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>([(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]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(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]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(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]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(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]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(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]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(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]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(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]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(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]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(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]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(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]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(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]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(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]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(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]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(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]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(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]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(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]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(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]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(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]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(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]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(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]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>([(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]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(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]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(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]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(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]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(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]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(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]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(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]=>[1,3,4,2,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(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]=>[1,3,4,5,7,2,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(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]=>[1,3,4,6,2,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(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]=>[1,3,4,6,2,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(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]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(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]=>[1,3,4,7,2,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(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]=>[1,3,5,2,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(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]=>[1,3,5,2,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(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]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(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]=>[1,3,5,2,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(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]=>[1,3,5,2,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(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]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(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]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(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]=>[1,3,5,6,7,2,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(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]=>[1,3,5,7,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(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]=>[1,3,6,2,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(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]=>[1,3,6,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(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]=>[1,3,6,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(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]=>[1,3,6,7,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(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]=>[1,3,7,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(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]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(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]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(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]=>[1,4,2,5,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,2,5,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(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]=>[1,4,2,5,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,2,5,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,2,5,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(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]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,2,6,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,2,6,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,2,7,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(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]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(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]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(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]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(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]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(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]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(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]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(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]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(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]=>[1,5,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,2,3,6,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(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]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,2,6,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,2,6,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(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]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(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]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(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]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(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]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(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]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(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]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(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]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(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]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>([(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]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(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]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(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]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(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]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(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]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(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]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(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]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(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]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(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]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(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]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(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]=>[2,3,1,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(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]=>[2,3,1,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(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]=>[2,3,1,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,3,1,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,3,1,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,3,1,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(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]=>[2,3,4,1,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(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]=>[2,3,4,5,7,1,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(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]=>[2,3,4,6,1,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(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]=>[2,3,4,6,1,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(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]=>[2,3,4,6,7,1,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(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]=>[2,3,4,7,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(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]=>[2,3,5,1,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(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]=>[2,3,5,1,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(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]=>[2,3,5,1,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(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]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(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]=>[2,3,5,1,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(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]=>[2,3,5,6,1,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(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]=>[2,3,5,6,1,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(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]=>[2,3,5,6,7,1,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(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]=>[2,3,5,7,1,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(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]=>[2,3,6,1,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,3,6,1,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,3,6,1,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,3,6,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(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]=>[2,3,7,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(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]=>[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,1,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(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]=>[2,4,1,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,1,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,1,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(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]=>[2,4,1,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,1,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(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]=>[2,4,1,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,1,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,1,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(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]=>[2,4,1,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,1,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,1,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(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]=>[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(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]=>[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(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]=>[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(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]=>[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(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]=>[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(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]=>[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(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]=>[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(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]=>[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(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]=>[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(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]=>[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(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]=>[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(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]=>[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(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]=>[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(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]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,1,2,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(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]=>[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,2,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,1,2,5,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,2,5,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,2,5,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,1,2,6,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,1,2,6,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,1,2,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(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]=>[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,1,4,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,1,4,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(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]=>[3,1,4,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,1,4,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,1,4,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,1,4,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,1,4,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,1,4,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,1,4,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,1,4,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(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]=>[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,5,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,1,5,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,5,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,5,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,1,5,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(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]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(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]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(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]=>[3,4,5,1,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,5,1,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,4,5,1,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,5,1,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,5,1,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,4,5,6,1,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,5,6,1,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(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]=>[3,4,5,7,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(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]=>[3,4,6,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,6,1,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,6,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,6,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(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]=>[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(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]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,5,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,6,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(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]=>[3,5,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(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]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,6,7,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(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]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(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]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,1,2,3,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,2,3,6,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,2,3,7,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(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]=>[4,1,2,5,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,2,5,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,1,2,5,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,2,5,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,1,2,6,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,2,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,2,6,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(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]=>[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,1,5,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,5,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,5,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,6,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,6,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(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]=>[4,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,5,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(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]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(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]=>[4,6,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,6,1,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,6,1,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(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]=>[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(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]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(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]=>[5,1,2,3,6,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,2,3,6,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,2,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(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]=>[5,1,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(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]=>[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,6,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(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]=>[5,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,6,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,6,1,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(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]=>[5,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(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]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(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]=>[6,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(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]=>[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(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]=>[6,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(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]=>[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(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]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>([(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) [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(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) [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(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) [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],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) [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(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]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(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]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
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.