Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00013: Binary trees —to poset⟶ Posets
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00013: Binary trees —to poset⟶ Posets
Images
=>
Cc0010;cc-rep-2Cc0014;cc-rep-3
[1]=>[1]=>[.,.]=>([],1)
[1,2]=>[2,1]=>[[.,.],.]=>([(0,1)],2)
[2,1]=>[1,2]=>[.,[.,.]]=>([(0,1)],2)
[1,2,3]=>[3,2,1]=>[[[.,.],.],.]=>([(0,2),(2,1)],3)
[1,3,2]=>[3,1,2]=>[[.,[.,.]],.]=>([(0,2),(2,1)],3)
[2,1,3]=>[2,3,1]=>[[.,.],[.,.]]=>([(0,2),(1,2)],3)
[2,3,1]=>[2,1,3]=>[[.,.],[.,.]]=>([(0,2),(1,2)],3)
[3,1,2]=>[1,3,2]=>[.,[[.,.],.]]=>([(0,2),(2,1)],3)
[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]=>([(0,2),(2,1)],3)
[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>([(0,3),(2,1),(3,2)],4)
[1,2,4,3]=>[4,3,1,2]=>[[[.,[.,.]],.],.]=>([(0,3),(2,1),(3,2)],4)
[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]=>([(0,3),(1,3),(3,2)],4)
[1,3,4,2]=>[4,2,1,3]=>[[[.,.],[.,.]],.]=>([(0,3),(1,3),(3,2)],4)
[1,4,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]=>([(0,3),(2,1),(3,2)],4)
[1,4,3,2]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]=>([(0,3),(2,1),(3,2)],4)
[2,1,3,4]=>[3,4,2,1]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[2,3,1,4]=>[3,2,4,1]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[2,3,4,1]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[2,4,1,3]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[2,4,3,1]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]=>([(0,3),(1,2),(2,3)],4)
[3,1,2,4]=>[2,4,3,1]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4)
[3,1,4,2]=>[2,4,1,3]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4)
[3,2,1,4]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4)
[3,2,4,1]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4)
[3,4,1,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>([(0,3),(1,2),(2,3)],4)
[3,4,2,1]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>([(0,3),(1,2),(2,3)],4)
[4,1,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>([(0,3),(2,1),(3,2)],4)
[4,1,3,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>([(0,3),(2,1),(3,2)],4)
[4,2,1,3]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>([(0,3),(1,3),(3,2)],4)
[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>([(0,3),(1,3),(3,2)],4)
[4,3,1,2]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>([(0,3),(2,1),(3,2)],4)
[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>([(0,3),(2,1),(3,2)],4)
[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,2,4,5,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,2,5,3,4]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,3,2,4,5]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,3,4,2,5]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,3,4,5,2]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,3,5,4,2]=>[5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,4,2,3,5]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,4,2,5,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,4,3,5,2]=>[5,2,3,1,4]=>[[[.,.],[.,[.,.]]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,4,5,2,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,4,5,3,2]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]=>([(0,4),(1,2),(2,4),(4,3)],5)
[1,5,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,2,4,3]=>[5,1,4,2,3]=>[[.,[[.,[.,.]],.]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,3,2,4]=>[5,1,3,4,2]=>[[.,[[.,.],[.,.]]],.]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]=>([(0,4),(1,4),(2,3),(4,2)],5)
[1,5,4,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]=>([(0,4),(2,3),(3,1),(4,2)],5)
[2,1,3,4,5]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,1,4,5,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,1,5,3,4]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,1,4,5]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,1,5,4]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,4,1,5]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,4,5,1]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,5,1,4]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,3,5,4,1]=>[4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,4,1,3,5]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,4,1,5,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,4,3,1,5]=>[4,2,3,5,1]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,4,3,5,1]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,4,5,1,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,4,5,3,1]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[2,5,1,3,4]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,5,3,1,4]=>[4,1,3,5,2]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,5,3,4,1]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,5,4,1,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[2,5,4,3,1]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[3,1,2,4,5]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,1,2,5,4]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,1,4,2,5]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,1,4,5,2]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,1,5,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,1,5,4,2]=>[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,2,4,1,5]=>[3,4,2,5,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,2,4,5,1]=>[3,4,2,1,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,2,5,1,4]=>[3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,2,5,4,1]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,1,2,5]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,1,5,2]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,2,1,5]=>[3,2,4,5,1]=>[[[.,.],.],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,2,5,1]=>[3,2,4,1,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,5,1,2]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,4,5,2,1]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,5,1,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,5,2,1,4]=>[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,5,2,4,1]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,5,4,1,2]=>[3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[3,5,4,2,1]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[4,1,2,3,5]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,1,2,5,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,1,3,2,5]=>[2,5,3,4,1]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,1,3,5,2]=>[2,5,3,1,4]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,1,5,2,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,1,5,3,2]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,2,1,3,5]=>[2,4,5,3,1]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,2,1,5,3]=>[2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,2,3,5,1]=>[2,4,3,1,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,2,5,3,1]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,3,1,2,5]=>[2,3,5,4,1]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,3,1,5,2]=>[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,3,2,5,1]=>[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,3,5,1,2]=>[2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,3,5,2,1]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,5,1,2,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,5,1,3,2]=>[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,5,2,1,3]=>[2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,5,2,3,1]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[4,5,3,2,1]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[5,1,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[5,1,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[5,1,3,2,4]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>([(0,4),(1,4),(2,3),(4,2)],5)
[5,1,3,4,2]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>([(0,4),(1,4),(2,3),(4,2)],5)
[5,1,4,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[5,2,1,3,4]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,2,1,4,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,2,3,1,4]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,2,4,1,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,3,1,2,4]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,3,1,4,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,3,2,1,4]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,3,4,1,2]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,3,4,2,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[5,4,1,2,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[5,4,1,3,2]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[5,4,2,1,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,3),(4,2)],5)
[5,4,2,3,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,3),(4,2)],5)
[5,4,3,1,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,4,6,5,3]=>[5,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,5,4,6,3]=>[5,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,5,6,4,3]=>[5,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,1,6,5,4]=>[5,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,4,6,5,1]=>[5,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,5,4,1,6]=>[5,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,5,4,6,1]=>[5,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,5,6,4,1]=>[5,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,6,1,5,4]=>[5,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,6,4,1,5]=>[5,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,6,4,5,1]=>[5,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,6,5,1,4]=>[5,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,3,6,5,4,1]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,1,6,5,3]=>[5,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,3,1,5,6]=>[5,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,3,1,6,5]=>[5,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,3,5,1,6]=>[5,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,3,5,6,1]=>[5,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,3,6,1,5]=>[5,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,3,6,5,1]=>[5,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,5,3,1,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,5,3,6,1]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,5,6,3,1]=>[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,6,1,5,3]=>[5,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,6,3,1,5]=>[5,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,6,3,5,1]=>[5,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,6,5,1,3]=>[5,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,4,6,5,3,1]=>[5,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,1,4,6,3]=>[5,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,1,6,4,3]=>[5,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,3,1,6,4]=>[5,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,3,4,1,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,3,4,6,1]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,3,6,1,4]=>[5,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,3,6,4,1]=>[5,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,4,1,6,3]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,4,3,1,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,4,3,6,1]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,4,6,1,3]=>[5,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,4,6,3,1]=>[5,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,6,3,1,4]=>[5,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,6,3,4,1]=>[5,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,6,4,1,3]=>[5,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,5,6,4,3,1]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,1,4,5,3]=>[5,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,3,1,4,5]=>[5,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,3,1,5,4]=>[5,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,3,4,5,1]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,3,5,1,4]=>[5,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,3,5,4,1]=>[5,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,4,1,5,3]=>[5,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,4,3,5,1]=>[5,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,4,5,1,3]=>[5,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,4,5,3,1]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,5,3,1,4]=>[5,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,5,3,4,1]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,4,6,5,2]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,5,4,2,6]=>[4,6,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,5,6,4,2]=>[4,6,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,6,4,2,5]=>[4,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,6,4,5,2]=>[4,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,1,5,6,4]=>[4,5,6,2,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,4,1,6,5]=>[4,5,3,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,4,6,5,1]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,5,1,6,4]=>[4,5,2,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,5,4,1,6]=>[4,5,2,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,5,4,6,1]=>[4,5,2,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,5,6,1,4]=>[4,5,2,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,5,6,4,1]=>[4,5,2,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,6,4,1,5]=>[4,5,1,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,6,4,5,1]=>[4,5,1,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,1,6,5,2]=>[4,3,6,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,2,1,6,5]=>[4,3,5,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,2,6,5,1]=>[4,3,5,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,6,1,5,2]=>[4,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[[[.,[.,.]],.],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,4,6,5,2,1]=>[4,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,1,4,6,2]=>[4,2,6,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,1,6,4,2]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,2,1,6,4]=>[4,2,5,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,2,6,1,4]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,2,6,4,1]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,4,1,6,2]=>[4,2,3,6,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,4,2,1,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,4,2,6,1]=>[4,2,3,5,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,4,6,1,2]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,4,6,2,1]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,6,1,4,2]=>[4,2,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,6,2,1,4]=>[4,2,1,5,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,6,2,4,1]=>[4,2,1,5,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,6,4,1,2]=>[4,2,1,3,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,1,4,2,5]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,4,1,5,2]=>[4,1,3,6,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,4,2,1,5]=>[4,1,3,5,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,4,5,1,2]=>[4,1,3,2,6,5]=>[[.,[[.,.],.]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,4,5,2,1]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,3,5,6,2]=>[3,6,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,3,6,5,2]=>[3,6,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,5,3,6,2]=>[3,6,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,5,6,3,2]=>[3,6,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,6,2,5,3]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,6,3,5,2]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,1,5,3,6]=>[3,5,6,2,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,1,5,6,3]=>[3,5,6,2,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,3,6,5,1]=>[3,5,4,1,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,5,1,6,3]=>[3,5,2,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,5,3,1,6]=>[3,5,2,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,5,3,6,1]=>[3,5,2,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,5,6,1,3]=>[3,5,2,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,5,6,3,1]=>[3,5,2,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,6,3,1,5]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,6,3,5,1]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,1,5,6,2]=>[3,4,6,2,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,5,1,6,2]=>[3,4,2,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,3,2,6]=>[3,2,6,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,3,6,2]=>[3,2,6,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,1,6,3,2]=>[3,2,6,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,1,6,3]=>[3,2,5,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,6,1,3]=>[3,2,5,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,2,6,3,1]=>[3,2,5,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,3,1,6,2]=>[3,2,4,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,6,1,3,2]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,1,2,5,3]=>[3,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,1,3,5,2]=>[3,1,6,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,1,5,2,3]=>[3,1,6,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,2,3,1,5]=>[3,1,5,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,2,3,5,1]=>[3,1,5,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,5,1,2,3]=>[3,1,2,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,2,4,6,3]=>[2,6,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,3,2,6,4]=>[2,6,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,3,4,2,6]=>[2,6,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,3,6,2,4]=>[2,6,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,3,6,4,2]=>[2,6,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,4,6,2,3]=>[2,6,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,4,6,3,2]=>[2,6,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,6,3,4,2]=>[2,6,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,1,3,6,4]=>[2,5,6,4,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,1,4,6,3]=>[2,5,6,3,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,1,6,4]=>[2,5,4,6,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,3,6,4,1]=>[2,5,4,1,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,4,1,6,3]=>[2,5,3,6,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,4,3,6,1]=>[2,5,3,4,1,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,4,6,1,3]=>[2,5,3,1,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,6,3,1,4]=>[2,5,1,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,6,3,4,1]=>[2,5,1,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,4,6,2]=>[2,4,6,3,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,6,2,4]=>[2,4,6,1,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,4,1,6,2]=>[2,4,3,6,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,1,3,6,2]=>[2,3,6,4,1,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,1,2,4,3]=>[2,1,6,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,1,3,2,4]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,6,1,3,4,2]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,6,1,4,2,3]=>[2,1,6,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],.]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,1,2,4,5,3]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,3,4,2,5]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,3,4,5,2]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,3,5,4,2]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,4,3,5,2]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,4,5,2,3]=>[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,4,5,3,2]=>[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,1,5,3,4,2]=>[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,1,4,5,3]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,3,1,5,4]=>[1,5,4,6,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,4,1,5,3]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,4,3,1,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,4,5,1,3]=>[1,5,3,2,6,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,4,5,3,1]=>[1,5,3,2,4,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,5,3,1,4]=>[1,5,2,4,6,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,5,3,4,1]=>[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,1,4,5,2]=>[1,4,6,3,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,4,1,5,2]=>[1,4,3,6,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,1,3,5,2]=>[1,3,6,4,2,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,5,1,3,4,2]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,7,6,4,5,3]=>[6,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,5,4,6,2]=>[5,7,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,5,4,7,1]=>[5,6,2,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,6,1,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,6,2,1,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,3,5,7,1]=>[4,6,2,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,5,3,7,1]=>[4,6,2,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,3,1,5,7]=>[4,2,6,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,3,4,6,2]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,3,4,7,1]=>[3,6,2,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,6,7,4,1]=>[3,5,6,2,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,6,7,3,1]=>[3,4,6,2,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,7,2,4,5,3]=>[2,7,1,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[.,[[.,[[[[.,.],.],.],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,6,5,8,3,4,2,1]=>[2,3,4,1,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,3,4,5,8,2,1]=>[2,3,6,5,4,1,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,4,5,7,8,2,1]=>[3,6,5,4,2,1,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[7,6,5,8,4,2,3,1]=>[2,3,4,1,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[6,7,5,8,4,2,3,1]=>[3,2,4,1,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[7,4,5,6,8,2,3,1]=>[2,5,4,3,1,7,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,4,6,7,8,2,3,1]=>[4,5,3,2,1,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[7,6,8,5,3,2,4,1]=>[2,3,1,4,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,6,3,2,4,1]=>[2,1,4,3,6,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,6,5,8,3,2,4,1]=>[2,3,4,1,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,3,2,4,1]=>[3,2,4,1,6,7,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,6,5,8,2,3,4,1]=>[2,3,4,1,7,6,5,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,2,3,4,1]=>[3,2,4,1,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[7,6,8,4,3,2,5,1]=>[2,3,1,5,6,7,4,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,7,8,3,4,2,5,1]=>[3,2,1,6,5,7,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,7,6,3,2,4,5,1]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[7,6,8,3,2,4,5,1]=>[2,3,1,6,7,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,4,5,6,3,2,7,1]=>[1,5,4,3,6,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[8,6,4,5,2,3,7,1]=>[1,3,5,4,7,6,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,3,4,5,7,2,8,1]=>[3,6,5,4,2,7,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,7,4,2,3,8,1]=>[4,3,2,5,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,3,2,5,7,8,1]=>[3,5,6,7,4,2,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[7,6,5,8,4,3,1,2]=>[2,3,4,1,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,5,8,4,3,1,2]=>[3,2,4,1,5,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,8,5,4,6,3,1,2]=>[2,1,4,5,3,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,7,4,5,6,3,1,2]=>[1,2,5,4,3,6,8,7]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,6,4,5,7,3,1,2]=>[1,3,5,4,2,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,5,6,8,3,4,1,2]=>[2,4,3,1,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[7,8,6,3,4,5,1,2]=>[2,1,3,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,8,4,5,3,6,1,2]=>[2,1,5,4,6,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,5,3,4,6,1,2]=>[2,1,4,6,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,5,7,4,3,8,1,2]=>[3,4,2,5,6,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,7,4,5,3,8,1,2]=>[3,2,5,4,6,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,6,3,8,1,2]=>[2,4,5,3,6,1,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,5,6,3,8,1,2]=>[2,5,4,3,6,1,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,5,4,7,3,8,1,2]=>[3,4,5,2,6,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,4,7,3,8,1,2]=>[4,3,5,2,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,4,3,5,8,1,2]=>[2,3,5,6,4,1,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,3,4,5,8,1,2]=>[2,3,6,5,4,1,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[7,5,3,4,6,8,1,2]=>[2,4,6,5,3,1,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,4,6,3,7,8,1,2]=>[4,5,3,6,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,3,7,8,1,2]=>[5,4,3,6,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,3,5,7,8,1,2]=>[3,5,6,4,2,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,4,5,7,8,1,2]=>[3,6,5,4,2,1,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,6,7,8,1,2]=>[5,4,6,3,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,4,6,7,8,1,2]=>[4,6,5,3,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,5,6,7,8,1,2]=>[5,6,4,3,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[8,6,5,7,4,2,1,3]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[7,6,5,8,4,2,1,3]=>[2,3,4,1,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[6,7,5,8,4,2,1,3]=>[3,2,4,1,5,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[6,5,7,4,8,2,1,3]=>[3,4,2,5,1,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,4,5,6,8,2,1,3]=>[2,5,4,3,1,7,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[7,6,5,8,4,1,2,3]=>[2,3,4,1,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,8,5,3,2,1,4]=>[3,2,1,4,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,6,5,7,3,2,1,4]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,3,2,1,4]=>[3,2,4,1,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,5,6,8,3,2,1,4]=>[2,4,3,1,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[7,8,6,5,2,3,1,4]=>[2,1,3,4,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,6,7,5,2,3,1,4]=>[1,3,2,4,7,6,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[7,6,8,5,2,3,1,4]=>[2,3,1,4,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,7,5,6,2,3,1,4]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,6,2,3,1,4]=>[2,1,4,3,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,5,6,7,2,3,1,4]=>[1,4,3,2,7,6,8,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,6,5,8,2,3,1,4]=>[2,3,4,1,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,7,8,2,3,1,4]=>[3,4,2,1,7,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,6,5,7,3,1,2,4]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[7,6,5,8,3,1,2,4]=>[2,3,4,1,6,8,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,5,6,8,3,1,2,4]=>[2,4,3,1,6,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[7,6,5,8,2,1,3,4]=>[2,3,4,1,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[8,6,7,3,4,2,1,5]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[7,6,8,4,2,3,1,5]=>[2,3,1,5,7,6,8,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,6,7,2,3,4,1,5]=>[1,3,2,7,6,5,8,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[7,6,8,2,3,1,4,5]=>[2,3,1,7,6,8,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,8,5,4,3,2,1,6]=>[2,1,4,5,6,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,8,4,3,5,2,1,6]=>[2,1,5,6,4,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,5,3,2,4,1,6]=>[2,1,4,6,7,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,7,5,2,3,4,1,6]=>[1,2,4,7,6,5,8,3]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,7,4,3,2,5,1,6]=>[1,2,5,6,7,4,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,3,4,2,5,1,6]=>[2,1,6,5,7,4,8,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,7,4,2,3,5,1,6]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,7,4,5,3,1,2,6]=>[1,2,5,4,6,8,7,3]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,5,3,4,1,2,6]=>[1,2,4,6,5,8,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,3,4,1,2,6]=>[2,1,4,6,5,8,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,7,3,4,5,1,2,6]=>[1,2,6,5,4,8,7,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,5,4,2,1,3,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[7,8,5,4,2,1,3,6]=>[2,1,4,5,7,8,6,3]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[8,7,4,5,2,1,3,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[7,8,5,4,1,2,3,6]=>[2,1,4,5,8,7,6,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,7,4,5,1,2,3,6]=>[1,2,5,4,8,7,6,3]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,5,3,2,1,4,6]=>[1,2,4,6,7,8,5,3]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,7,5,3,1,2,4,6]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,3,1,2,4,6]=>[2,1,4,6,8,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[7,8,5,2,1,3,4,6]=>[2,1,4,7,8,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,7,3,4,2,1,5,6]=>[1,2,6,5,7,8,4,3]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,8,3,4,2,1,5,6]=>[2,1,6,5,7,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,3,2,4,1,5,6]=>[2,1,6,7,5,8,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,7,2,3,4,1,5,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,8,2,3,4,1,5,6]=>[2,1,7,6,5,8,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,7,3,4,1,2,5,6]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,8,3,4,1,2,5,6]=>[2,1,6,5,8,7,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,4,2,1,3,5,6]=>[2,1,5,7,8,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,4,1,2,3,5,6]=>[2,1,5,8,7,6,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,2,3,1,4,5,6]=>[2,1,7,6,8,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,8,3,1,2,4,5,6]=>[2,1,6,8,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,2,1,3,4,5,6]=>[2,1,7,8,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,5,6,3,4,2,1,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,4,5,2,3,1,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,6,5,2,3,4,1,7]=>[1,3,4,7,6,5,8,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,3,4,5,1,2,7]=>[1,3,6,5,4,8,7,2]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,4,3,5,6,1,2,7]=>[1,5,6,4,3,8,7,2]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,5,6,4,2,1,3,7]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[8,6,5,4,1,2,3,7]=>[1,3,4,5,8,7,6,2]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,5,6,4,1,2,3,7]=>[1,4,3,5,8,7,6,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,4,5,6,1,2,3,7]=>[1,5,4,3,8,7,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,6,5,2,3,1,4,7]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,5,6,2,3,1,4,7]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,6,2,1,3,4,7]=>[1,4,3,7,8,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,6,3,4,2,1,5,7]=>[1,3,6,5,7,8,4,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,5,2,3,4,1,6,7]=>[1,4,7,6,5,8,3,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,4,5,3,2,1,8]=>[2,3,5,4,6,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,4,5,3,2,1,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,4,6,3,2,1,8]=>[2,4,5,3,6,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,5,7,3,2,1,8]=>[3,5,4,2,6,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,7,3,4,2,1,8]=>[3,4,2,6,5,7,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,3,4,5,7,2,1,8]=>[3,6,5,4,2,7,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,6,5,4,2,3,1,8]=>[2,3,4,5,7,6,8,1]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[6,7,5,4,2,3,1,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[5,6,7,4,2,3,1,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[7,6,4,5,2,3,1,8]=>[2,3,5,4,7,6,8,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,4,5,2,3,1,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[5,6,4,7,2,3,1,8]=>[4,3,5,2,7,6,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,6,7,3,2,4,1,8]=>[4,3,2,6,7,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,7,3,4,2,5,1,8]=>[3,2,6,5,7,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,6,4,2,3,5,1,8]=>[2,3,5,7,6,4,8,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,3,2,4,5,1,8]=>[3,2,6,7,5,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,6,2,3,4,5,1,8]=>[2,3,7,6,5,4,8,1]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,5,3,2,7,1,8]=>[3,5,4,6,7,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,5,6,3,2,7,1,8]=>[5,4,3,6,7,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,3,4,2,7,1,8]=>[4,3,6,5,7,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,3,5,2,7,1,8]=>[3,5,6,4,7,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,3,6,2,7,1,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,5,6,2,3,7,1,8]=>[5,4,3,7,6,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,6,3,2,4,7,1,8]=>[4,3,6,7,5,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,5,2,3,4,7,1,8]=>[3,4,7,6,5,2,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,2,3,4,7,1,8]=>[4,3,7,6,5,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,3,2,5,7,1,8]=>[3,5,6,7,4,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,3,4,6,7,1,8]=>[4,7,6,5,3,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,5,3,4,6,1,2,8]=>[2,4,6,5,3,8,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,5,6,3,7,1,2,8]=>[5,4,3,6,2,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,3,5,7,1,2,8]=>[3,5,6,4,2,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,4,5,7,1,2,8]=>[3,6,5,4,2,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,3,6,7,1,2,8]=>[4,5,6,3,2,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,4,6,7,1,2,8]=>[4,6,5,3,2,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[4,5,6,7,2,1,3,8]=>[5,4,3,2,7,8,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,5,4,6,1,2,3,8]=>[2,4,5,3,8,7,6,1]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,6,4,7,1,2,3,8]=>[4,3,5,2,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,6,7,3,1,2,4,8]=>[4,3,2,6,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,2,1,3,4,8]=>[4,3,2,7,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,6,2,3,4,1,5,8]=>[2,3,7,6,5,8,4,1]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,4,1,2,3,5,8]=>[2,3,5,8,7,6,4,1]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,2,3,4,5,1,6,8]=>[2,7,6,5,4,8,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,3,5,1,2,6,8]=>[2,5,6,4,8,7,3,1]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,2,3,1,4,5,6,8]=>[2,7,6,8,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,4,2,3,1,7,8]=>[4,3,5,7,6,8,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[6,5,2,3,4,1,7,8]=>[3,4,7,6,5,8,2,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,2,3,4,6,1,7,8]=>[4,7,6,5,3,8,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,2,3,5,6,1,7,8]=>[5,7,6,4,3,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,6,2,1,3,7,8]=>[5,4,3,7,8,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,8,7,5,3,2,1]=>[5,3,1,2,4,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,7,8,6,3,2,1]=>[5,4,2,1,3,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,6,8,7,3,2,1]=>[5,4,3,1,2,6,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,7,6,4,8,3,2,1]=>[4,2,3,5,1,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,7,5,8,3,2,1]=>[5,3,2,4,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,5,7,6,8,3,2,1]=>[5,4,2,3,1,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,6,8,7,4,2,1]=>[6,4,3,1,2,5,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,5,3,7,8,6,2,1]=>[5,4,6,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,5,4,7,8,6,2,1]=>[6,4,5,2,1,3,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,5,6,4,8,7,2,1]=>[6,4,3,5,1,2,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,5,6,8,7,2,1]=>[5,6,4,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,6,8,7,2,1]=>[6,5,4,3,1,2,7,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,6,7,5,8,2,1]=>[5,6,3,2,4,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,5,3,7,6,8,2,1]=>[5,4,6,2,3,1,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,6,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,5,8,7,4,3,1]=>[7,3,4,1,2,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,8,7,4,3,1]=>[7,4,3,1,2,5,6,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,6,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,5,4,8,7,6,3,1]=>[7,4,5,1,2,3,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,5,7,6,4,8,3,1]=>[7,4,2,3,5,1,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,6,8,7,5,4,1]=>[6,7,3,1,2,4,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,6,7,8,5,4,1]=>[6,7,3,2,1,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,7,6,5,8,4,1]=>[6,7,2,3,4,1,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,6,5,7,8,4,1]=>[6,7,3,4,2,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,5,6,7,8,4,1]=>[6,7,4,3,2,1,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,5,7,8,6,4,1]=>[7,6,4,2,1,3,5,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,5,7,6,8,4,1]=>[7,6,4,2,3,1,5,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,2,7,8,6,5,1]=>[5,6,7,2,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,6,8,7,5,1]=>[5,6,7,3,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,7,6,8,5,1]=>[5,6,7,2,3,1,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,2,7,6,8,5,1]=>[6,5,7,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,3,7,6,8,5,1]=>[7,5,6,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,7,8,6,5,1]=>[7,6,5,2,1,3,4,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,7,6,8,5,1]=>[7,6,5,2,3,1,4,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,4,3,2,8,7,6,1]=>[4,5,6,7,1,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,3,2,7,8,6,1]=>[4,5,6,7,2,1,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,5,2,8,7,6,1]=>[5,6,4,7,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,2,5,8,7,6,1]=>[5,6,7,4,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,3,4,5,8,7,6,1]=>[7,6,5,4,1,2,3,8]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,5,4,6,2,8,7,1]=>[6,4,5,3,7,1,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,4,5,6,2,8,7,1]=>[6,5,4,3,7,1,2,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,2,6,5,8,7,1]=>[6,5,7,3,4,1,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,4,3,2,6,8,7,1]=>[4,5,6,7,3,1,2,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,2,6,8,7,1]=>[5,4,6,7,3,1,2,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,7,6,3,2,8,1]=>[4,5,2,3,6,7,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,7,6,5,4,2,8,1]=>[6,2,3,4,5,7,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,7,6,4,2,8,1]=>[6,4,2,3,5,7,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,4,6,7,5,2,8,1]=>[6,5,3,2,4,7,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,3,6,5,7,2,8,1]=>[5,6,3,4,2,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,5,7,6,4,3,8,1]=>[7,4,2,3,5,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,5,4,7,6,3,8,1]=>[7,4,5,2,3,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,4,6,7,3,8,1]=>[7,4,5,3,2,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,2,7,6,5,4,8,1]=>[6,7,2,3,4,5,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,6,7,5,4,8,1]=>[6,7,3,2,4,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,5,6,7,4,8,1]=>[6,7,4,3,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,6,7,5,4,8,1]=>[7,6,3,2,4,5,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[4,3,2,7,6,5,8,1]=>[5,6,7,2,3,4,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,6,7,5,8,1]=>[5,6,7,3,2,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,4,3,2,7,6,8,1]=>[4,5,6,7,2,3,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,5,3,2,7,6,8,1]=>[5,4,6,7,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,3,5,2,7,6,8,1]=>[5,6,4,7,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,4,5,2,7,6,8,1]=>[6,5,4,7,2,3,1,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[4,3,2,5,7,6,8,1]=>[5,6,7,4,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,3,2,6,5,7,8,1]=>[5,6,7,3,4,2,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,2,6,5,7,8,1]=>[6,5,7,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,2,4,6,5,7,8,1]=>[6,7,5,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,4,6,5,7,8,1]=>[7,6,5,3,4,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,6,8,7,5,4,3,2]=>[8,3,1,2,4,5,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,7,8,6,4,3,2]=>[8,4,2,1,3,5,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,6,5,8,7,4,3,2]=>[8,3,4,1,2,5,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,4,6,8,7,5,3,2]=>[8,5,3,1,2,4,6,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,6,7,8,5,3,2]=>[8,5,3,2,1,4,6,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,4,6,5,8,7,3,2]=>[8,5,3,4,1,2,6,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,5,7,6,4,8,3,2]=>[8,4,2,3,5,1,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,4,7,6,5,8,3,2]=>[8,5,2,3,4,1,6,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,5,4,7,6,8,3,2]=>[8,4,5,2,3,1,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,6,5,4,7,8,3,2]=>[8,3,4,5,2,1,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,5,8,7,6,4,2]=>[8,6,4,1,2,3,5,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,3,6,8,7,5,2]=>[8,5,6,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,3,6,7,8,5,2]=>[8,5,6,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,7,8,6,5,2]=>[8,6,5,2,1,3,4,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,6,7,8,5,2]=>[8,6,5,3,2,1,4,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,5,4,3,8,7,6,2]=>[8,4,5,6,1,2,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,4,3,5,8,7,6,2]=>[8,5,6,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,3,5,7,8,6,2]=>[8,5,6,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,4,6,3,8,7,2]=>[8,4,5,3,6,1,2,7]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,3,6,5,4,8,7,2]=>[8,6,3,4,5,1,2,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,7,6,5,3,8,2]=>[8,5,2,3,4,6,1,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,3,6,7,5,4,8,2]=>[8,6,3,2,4,5,1,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,4,3,7,6,5,8,2]=>[8,5,6,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,5,7,6,8,2]=>[8,6,5,4,2,3,1,7]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,6,5,4,3,7,8,2]=>[8,3,4,5,6,2,1,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,4,6,3,7,8,2]=>[8,4,5,3,6,2,1,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,4,3,6,5,7,8,2]=>[8,5,6,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,3,4,6,5,7,8,2]=>[8,6,5,3,4,2,1,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,7,8,6,5,4,3]=>[7,8,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,8,7,5,3]=>[7,8,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,7,8,5,3]=>[7,8,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,4,5,7,8,6,3]=>[7,8,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,1,4,5,6,8,7,3]=>[7,8,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,7,4,8,3]=>[7,8,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,6,5,8,7,4,3]=>[8,7,3,4,1,2,5,6]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,6,8,7,5,3]=>[8,7,5,3,1,2,4,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,6,7,8,5,3]=>[8,7,5,3,2,1,4,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,5,4,8,7,6,3]=>[8,7,4,5,1,2,3,6]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,5,6,8,7,3]=>[8,7,5,4,3,1,2,6]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,5,6,7,4,8,3]=>[8,7,4,3,2,5,1,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,4,6,7,5,8,3]=>[8,7,5,3,2,4,1,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,2,4,6,5,7,8,3]=>[8,7,5,3,4,2,1,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,1,7,8,6,5,4]=>[6,7,8,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,6,8,7,5,4]=>[6,7,8,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,1,7,6,8,5,4]=>[6,7,8,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,6,7,8,5,4]=>[6,7,8,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,1,5,8,7,6,4]=>[6,7,8,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,5,7,8,6,4]=>[6,7,8,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,1,6,5,8,7,4]=>[6,7,8,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,1,5,6,8,7,4]=>[6,7,8,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,7,6,5,8,4]=>[6,7,8,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,6,7,5,8,4]=>[6,7,8,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,1,5,7,6,8,4]=>[6,7,8,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,1,6,5,7,8,4]=>[6,7,8,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,1,5,6,7,8,4]=>[6,7,8,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,1,5,8,7,6,4]=>[7,6,8,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,2,5,7,8,6,4]=>[8,6,7,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,2,6,7,5,8,4]=>[8,6,7,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,3,5,8,7,6,4]=>[7,8,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,3,5,7,8,6,4]=>[7,8,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,3,6,5,7,8,4]=>[7,8,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,2,1,7,8,6,5]=>[5,6,7,8,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,1,6,8,7,5]=>[5,6,7,8,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,1,7,6,8,5]=>[5,6,7,8,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,1,6,7,8,5]=>[5,6,7,8,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,2,1,6,8,7,5]=>[6,5,7,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,2,1,7,6,8,5]=>[6,5,7,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,3,1,7,8,6,5]=>[7,5,6,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,3,1,6,8,7,5]=>[7,5,6,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,4,1,7,6,8,5]=>[6,7,5,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,3,2,7,8,6,5]=>[8,5,6,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,3,6,8,7,5]=>[7,8,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,3,7,6,8,5]=>[7,8,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,1,4,7,8,6,5]=>[6,7,8,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,1,4,7,6,8,5]=>[6,7,8,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,1,4,6,7,8,5]=>[6,7,8,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,1,4,7,8,6,5]=>[7,6,8,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,3,4,6,8,7,5]=>[7,8,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,3,4,7,6,8,5]=>[7,8,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,4,6,8,7,5]=>[8,7,6,5,3,1,2,4]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,3,2,1,7,8,6]=>[4,5,6,7,8,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,5,4,2,1,8,7,6]=>[6,4,5,7,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,5,2,1,8,7,6]=>[5,6,4,7,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,5,4,3,1,8,7,6]=>[7,4,5,6,8,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,4,5,3,1,8,7,6]=>[7,5,4,6,8,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,5,4,1,8,7,6]=>[7,6,4,5,8,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[4,3,2,5,1,8,7,6]=>[5,6,7,4,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,2,5,1,8,7,6]=>[6,5,7,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,4,3,5,1,8,7,6]=>[7,5,6,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[3,2,4,5,1,8,7,6]=>[6,7,5,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,4,5,1,7,8,6]=>[6,7,5,4,8,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[2,3,4,5,1,8,7,6]=>[7,6,5,4,8,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,4,3,5,2,8,7,6]=>[8,5,6,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,2,1,5,7,8,6]=>[5,6,7,8,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,4,2,1,5,8,7,6]=>[6,5,7,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,2,1,5,7,8,6]=>[6,5,7,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[2,4,3,1,5,8,7,6]=>[7,5,6,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[2,3,4,1,5,8,7,6]=>[7,6,5,8,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,2,4,3,5,7,8,6]=>[8,7,5,6,4,2,1,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,1,4,5,7,8,6]=>[6,7,8,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,6,5,3,2,1,8,7]=>[5,3,4,6,7,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,3,6,2,1,8,7]=>[4,5,6,3,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,4,6,5,3,1,8,7]=>[7,5,3,4,6,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,5,4,6,3,1,8,7]=>[7,4,5,3,6,8,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,4,5,6,3,1,8,7]=>[7,5,4,3,6,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[5,4,3,2,6,1,8,7]=>[4,5,6,7,3,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,4,5,2,6,1,8,7]=>[6,5,4,7,3,8,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,2,5,6,1,8,7]=>[5,6,7,4,3,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,3,4,5,6,1,8,7]=>[7,6,5,4,3,8,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,4,6,5,3,2,8,7]=>[8,5,3,4,6,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,5,6,3,2,8,7]=>[8,5,4,3,6,7,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,3,6,2,8,7]=>[8,5,4,6,3,7,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,5,4,6,3,8,7]=>[8,7,4,5,3,6,1,2]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,5,2,1,6,8,7]=>[5,6,4,7,8,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,4,3,5,2,6,8,7]=>[8,5,6,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,2,4,5,3,6,8,7]=>[8,7,5,4,6,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[4,7,6,5,3,2,1,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,5,7,6,3,2,1,8]=>[5,4,2,3,6,7,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,5,4,7,6,2,1,8]=>[6,4,5,2,3,7,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,4,7,6,5,3,1,8]=>[7,5,2,3,4,6,8,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,6,7,5,4,1,8]=>[6,7,3,2,4,5,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[4,3,2,7,6,5,1,8]=>[5,6,7,2,3,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,2,6,7,5,1,8]=>[6,5,7,3,2,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,4,3,2,7,6,1,8]=>[4,5,6,7,2,3,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,5,3,2,7,6,1,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,3,5,2,7,6,1,8]=>[5,6,4,7,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[2,5,4,3,7,6,1,8]=>[7,4,5,6,2,3,8,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,3,2,5,7,6,1,8]=>[5,6,7,4,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[2,4,3,5,7,6,1,8]=>[7,5,6,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,2,4,5,7,6,1,8]=>[6,7,5,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,5,4,6,2,7,1,8]=>[6,4,5,3,7,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,5,4,6,3,7,1,8]=>[7,4,5,3,6,2,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,4,2,6,5,7,1,8]=>[6,5,7,3,4,2,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,4,3,6,5,7,1,8]=>[7,5,6,3,4,2,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,5,4,3,6,7,1,8]=>[7,4,5,6,3,2,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,4,5,7,6,3,2,8]=>[8,5,4,2,3,6,7,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,4,6,5,7,3,2,8]=>[8,5,3,4,2,6,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,4,3,6,5,7,2,8]=>[8,5,6,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[2,1,6,7,5,4,3,8]=>[7,8,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,6,5,7,4,3,8]=>[7,8,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,7,4,3,8]=>[7,8,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[1,2,4,6,7,5,3,8]=>[8,7,5,3,2,4,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,6,5,7,3,8]=>[8,7,5,3,4,2,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,6,7,5,4,8]=>[6,7,8,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,1,5,7,6,4,8]=>[6,7,8,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,1,5,6,7,4,8]=>[6,7,8,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,1,5,7,6,4,8]=>[7,6,8,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,1,6,5,7,4,8]=>[7,6,8,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,1,5,6,7,4,8]=>[7,6,8,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,2,6,5,7,4,8]=>[8,6,7,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,2,5,6,7,4,8]=>[8,6,7,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[2,1,3,5,6,7,4,8]=>[7,8,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,6,5,7,4,8]=>[8,7,6,3,4,2,5,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,5,6,7,4,8]=>[8,7,6,4,3,2,5,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,2,1,6,7,5,8]=>[5,6,7,8,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[2,1,4,3,7,6,5,8]=>[7,8,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,1,4,6,7,5,8]=>[7,6,8,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,2,4,6,7,5,8]=>[8,6,7,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[2,1,3,4,6,7,5,8]=>[7,8,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,4,6,7,5,8]=>[8,7,6,5,3,2,4,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,4,2,5,1,7,6,8]=>[6,5,7,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[2,4,3,5,1,7,6,8]=>[7,5,6,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,3,5,4,2,7,6,8]=>[8,6,4,5,7,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,4,3,5,2,7,6,8]=>[8,5,6,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,3,4,5,2,7,6,8]=>[8,6,5,4,7,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,2,4,5,3,7,6,8]=>[8,7,5,4,6,2,3,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,3,1,5,4,7,6,8]=>[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[2,4,3,1,5,7,6,8]=>[7,5,6,8,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[2,4,6,5,3,1,7,8]=>[7,5,3,4,6,8,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,5,6,3,1,7,8]=>[7,5,4,3,6,8,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[3,5,4,2,6,1,7,8]=>[6,4,5,7,3,8,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,5,4,3,6,1,7,8]=>[7,4,5,6,3,8,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,4,6,5,3,7,8]=>[7,8,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,1,5,6,4,7,8]=>[6,7,8,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,1,6,5,4,7,8]=>[7,6,8,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,1,5,6,4,7,8]=>[7,6,8,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,5,6,4,7,8]=>[8,7,6,4,3,5,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[2,3,1,4,6,5,7,8]=>[7,6,8,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,3,5,4,2,6,7,8]=>[8,6,4,5,7,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,4,3,5,2,6,7,8]=>[8,5,6,4,7,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,3,4,5,2,6,7,8]=>[8,6,5,4,7,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,2,4,5,3,6,7,8]=>[8,7,5,4,6,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[2,3,1,5,4,6,7,8]=>[7,6,8,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[2,4,3,1,5,6,7,8]=>[7,5,6,8,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,3,4,2,5,6,7,8]=>[8,6,5,7,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,4,5,8,6,7,3]=>[8,7,5,4,1,3,2,6]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,4,8,5,7,6,3]=>[8,7,5,1,4,2,3,6]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,5,4,8,6,7,3]=>[8,7,4,5,1,3,2,6]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,7,5,6,4,3,8]=>[8,7,2,4,3,5,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,7,5,6,4,8,3]=>[8,7,2,4,3,5,1,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,8,5,6,4,7,3]=>[8,7,1,4,3,5,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,2,8,6,7,5]=>[8,6,5,7,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,3,4,5,8,6,7,2]=>[8,6,5,4,1,3,2,7]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,7,5,6,2,8]=>[8,6,5,2,4,3,7,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,8,6,7,5,2]=>[8,6,5,1,3,2,4,7]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,7,4,6,5,2,8]=>[8,6,2,5,3,4,7,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,3,8,4,7,6,5,2]=>[8,6,1,5,2,3,4,7]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,7,5,4,6,8,2]=>[8,6,2,4,5,3,1,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,8,5,4,6,7,2]=>[8,6,1,4,5,3,2,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,8,5,4,7,6,2]=>[8,6,1,4,5,2,3,7]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,7,5,6,4,8,2]=>[8,6,2,4,3,5,1,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,8,5,6,4,7,2]=>[8,6,1,4,3,5,2,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,8,7,5,6,4,2]=>[8,6,1,2,4,3,5,7]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,4,3,7,5,6,2,8]=>[8,5,6,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,7,3,4,5,6,8,2]=>[8,2,6,5,4,3,1,7]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,6,3,5,4,7,2,8]=>[8,3,6,4,5,2,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,8,3,5,7,6,4,2]=>[8,1,6,4,2,3,5,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,6,4,5,3,2,8,7]=>[8,3,5,4,6,7,1,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,8,4,6,5,3,7,2]=>[8,1,5,3,4,6,2,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[2,1,3,5,8,6,7,4]=>[7,8,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,3,8,6,7,5,4]=>[7,8,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,1,4,5,8,6,7,3]=>[7,8,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,5,4,8,6,7,3]=>[7,8,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,6,4,5,7,8,3]=>[7,8,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,8,4,6,7,5,3]=>[7,8,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,7,5,6,4,3,8]=>[7,8,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,8,5,6,7,4,3]=>[7,8,1,4,3,2,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,8,5,7,6,4,3]=>[7,8,1,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,1,5,8,6,7,4]=>[7,6,8,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,1,8,5,7,6,4]=>[7,6,8,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,1,8,6,7,5]=>[7,6,5,8,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,3,4,5,8,6,7,1]=>[7,6,5,4,1,3,2,8]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,7,5,4,6,1,8]=>[7,6,2,4,5,3,8,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,7,5,6,4,8,1]=>[7,6,2,4,3,5,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,8,5,6,7,4,1]=>[7,6,1,4,3,2,5,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,8,5,7,6,4,1]=>[7,6,1,4,2,3,5,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,4,3,5,8,6,7,1]=>[7,5,6,4,1,3,2,8]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,3,7,5,6,1,8]=>[7,5,6,2,4,3,8,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,3,4,1,7,6,8]=>[7,4,6,5,8,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,3,4,1,8,7,6]=>[7,4,6,5,8,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,3,5,4,1,8,7]=>[7,3,6,4,5,8,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,3,5,4,7,1,8]=>[7,3,6,4,5,2,8,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,8,3,5,7,6,4,1]=>[7,1,6,4,2,3,5,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,7,3,6,5,4,8,1]=>[7,2,6,3,4,5,1,8]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,6,4,5,3,1,7,8]=>[7,3,5,4,6,8,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,6,4,5,3,1,8,7]=>[7,3,5,4,6,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,8,4,5,3,6,7,1]=>[7,1,5,4,6,3,2,8]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,8,4,5,7,6,3,1]=>[7,1,5,4,2,3,6,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,7,5,4,6,3,1,8]=>[7,2,4,5,3,6,8,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,7,5,4,6,3,8,1]=>[7,2,4,5,3,6,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,8,5,4,7,6,3,1]=>[7,1,4,5,2,3,6,8]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,2,1,5,8,6,7,4]=>[6,7,8,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,1,7,5,6,8,4]=>[6,7,8,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,5,4,8,6,7,1]=>[6,7,4,5,1,3,2,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,6,4,5,1,7,8]=>[6,7,3,5,4,8,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,6,4,5,1,8,7]=>[6,7,3,5,4,8,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,7,5,4,6,8,1]=>[6,7,2,4,5,3,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,8,5,4,6,7,1]=>[6,7,1,4,5,3,2,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,8,5,6,7,4,1]=>[6,7,1,4,3,2,5,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,8,5,7,6,4,1]=>[6,7,1,4,2,3,5,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,3,1,6,7,5,8]=>[5,7,6,8,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,3,1,7,6,8,5]=>[5,7,6,8,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,2,3,5,1,8,7,6]=>[5,7,6,4,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,2,3,6,5,4,8,1]=>[2,7,6,3,4,5,1,8]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,4,3,6,1,7,8]=>[4,7,5,6,3,8,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,4,3,7,6,1,8]=>[4,7,5,6,2,3,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,2,4,3,6,7,5,1]=>[1,7,5,6,3,2,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[6,2,4,5,3,1,7,8]=>[3,7,5,4,6,8,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,2,4,5,3,1,8,7]=>[3,7,5,4,6,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,2,4,5,3,7,1,8]=>[3,7,5,4,6,2,8,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,2,4,5,6,3,1,8]=>[2,7,5,4,3,6,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,3,2,7,5,6,8,1]=>[5,6,7,2,4,3,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,2,4,1,7,8,6]=>[4,6,7,5,8,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,2,4,7,6,8,1]=>[4,6,7,5,2,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,3,2,5,4,7,1,8]=>[3,6,7,4,5,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,3,2,5,4,6,8,1]=>[2,6,7,4,5,3,1,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,2,5,6,4,7,1]=>[1,6,7,4,3,5,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,2,5,6,7,4,1]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,3,2,6,5,4,8,1]=>[2,6,7,3,4,5,1,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,3,4,2,1,8,7,6]=>[4,6,5,7,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,4,2,7,6,1,8]=>[4,6,5,7,2,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,3,4,2,7,6,8,1]=>[4,6,5,7,2,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,4,2,5,1,8,7]=>[3,6,5,7,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,3,4,2,6,5,8,1]=>[2,6,5,7,3,4,1,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,3,4,2,6,5,7,1]=>[1,6,5,7,3,4,2,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,5,4,7,6,2,1]=>[1,6,4,5,2,3,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[5,4,3,2,8,6,7,1]=>[4,5,6,7,1,3,2,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,4,3,6,5,7,2,1]=>[1,5,6,3,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,3,6,5,7,8]=>[7,5,8,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,3,5,7,8]=>[7,8,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,3,6,7,5,8]=>[7,5,8,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,6,3,7,5,8]=>[7,5,8,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,7,1,3,5,8]=>[7,5,3,2,8,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,3,7,8,5]=>[7,8,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,7,3,8,5]=>[7,8,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,6,7,8,1,3,5]=>[7,5,3,2,1,8,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,7,8,3,5,6]=>[7,8,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,7,8,1,3,5,6]=>[7,5,2,1,8,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,4,7,3,5,6,8]=>[7,8,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,4,1,3,5,7,8,6]=>[7,5,8,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,4,5,7,8,1,3,6]=>[7,5,4,2,1,8,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,3,5,8,6,7]=>[7,5,8,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,5,3,6,7,8]=>[7,5,8,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,5,6,3,7,8]=>[7,5,8,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,5,1,6,3,7,8]=>[7,5,4,8,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,5,6,7,3,8]=>[7,5,8,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,5,1,6,7,3,8]=>[7,5,4,8,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,5,6,7,1,3,8]=>[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,6,3,4,7,8]=>[7,4,8,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,6,3,7,8,4]=>[7,4,8,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,1,7,3,8,4]=>[7,4,3,8,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,5,7,3,4,8,6]=>[7,8,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,5,7,8,3,4,6]=>[7,8,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,7,1,8,3,4,6]=>[7,4,2,8,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,5,7,3,4,6,8]=>[7,8,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,5,1,3,4,7,6,8]=>[7,4,8,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,1,5,7,4,6,8]=>[7,6,8,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,5,1,3,4,7,8,6]=>[7,4,8,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,3,5,1,4,7,8,6]=>[7,6,4,8,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,3,5,7,4,8,6]=>[7,8,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,5,1,3,4,6,8,7]=>[7,4,8,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,3,5,6,1,4,7,8]=>[7,6,4,3,8,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,6,3,7,4,8,5]=>[7,8,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,1,7,3,4,8,5]=>[7,3,8,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,7,1,8,3,4,5]=>[7,3,2,8,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,7,8,1,3,4,5]=>[7,3,2,1,8,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,7,1,3,4,5,8]=>[7,3,2,8,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,6,1,4,7,5,8]=>[7,6,3,8,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,3,1,6,4,7,8,5]=>[7,6,8,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,6,7,1,4,8,5]=>[7,6,3,2,8,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,1,6,7,8,4,5]=>[7,6,8,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,6,1,7,8,4,5]=>[7,6,3,8,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,6,7,8,1,4,5]=>[7,6,3,2,1,8,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,6,8,3,4,5,7]=>[7,8,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,6,3,4,8,5,7]=>[7,8,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,1,3,4,5,8,7]=>[7,3,8,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,3,6,4,5,7,8]=>[7,8,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,3,6,1,4,5,7,8]=>[7,6,3,8,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,7,3,8,4,5,6]=>[7,8,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,7,1,8,3,4,5,6]=>[7,2,8,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,3,7,1,4,8,5,6]=>[7,6,2,8,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,7,1,5,8,6]=>[7,6,5,2,8,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,1,3,4,7,5,6,8]=>[7,8,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,3,8,4,5,6,7]=>[7,8,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,1,8,4,5,6,7]=>[7,6,8,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,3,4,8,5,6,7]=>[7,8,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,6,8,5,7]=>[6,5,8,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,6,2,8,5,7]=>[6,5,8,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,6,5,7,8]=>[6,8,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,6,5,7,8]=>[6,5,8,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,6,2,5,7,8]=>[6,5,8,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,6,7,5,8]=>[6,5,8,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,6,2,7,5,8]=>[6,8,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,6,2,7,5,8]=>[6,5,8,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,6,2,7,8,5]=>[6,8,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,1,2,7,8,5]=>[6,5,3,8,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,1,7,2,8,5]=>[6,5,3,8,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,6,7,8,2,5]=>[6,5,8,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,7,2,5,8,6]=>[6,5,8,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,4,1,2,7,5,6,8]=>[6,5,8,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,7,2,5,6,8]=>[6,8,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,5,7,6,8]=>[6,8,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,4,1,5,2,7,6,8]=>[6,5,8,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,1,4,2,5,7,8,6]=>[6,8,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,4,1,2,5,7,8,6]=>[6,5,8,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,1,4,5,7,2,8,6]=>[6,8,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,4,5,7,1,2,8,6]=>[6,5,4,2,8,7,1,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,1,4,5,7,8,2,6]=>[6,8,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,4,5,1,7,8,2,6]=>[6,5,4,8,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,1,4,2,8,5,6,7]=>[6,8,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,2,8,5,6,7]=>[6,5,8,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,4,8,2,5,6,7]=>[6,8,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,8,2,5,6,7]=>[6,5,8,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,2,5,8,6,7]=>[6,5,8,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,5,2,8,6,7]=>[6,5,8,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,2,5,6,8,7]=>[6,5,8,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,5,6,8,2,7]=>[6,5,8,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,5,2,6,7,8]=>[6,5,8,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,4,5,6,2,7,8]=>[6,8,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,6,2,4,8,7]=>[6,8,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,6,2,8,4,7]=>[6,4,8,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,2,8,4,7]=>[6,4,3,8,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,6,8,2,4,7]=>[6,8,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,2,6,4,7,8]=>[6,8,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,2,6,4,7,8]=>[6,4,8,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,6,2,4,7,8]=>[6,8,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,6,2,4,7,8]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,6,2,7,4,8]=>[6,4,8,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,2,7,4,8]=>[6,4,3,8,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,6,7,2,4,8]=>[6,8,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,2,6,7,8,4]=>[6,4,8,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,6,2,7,8,4]=>[6,8,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,6,2,7,8,4]=>[6,4,8,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,2,7,8,4]=>[6,4,3,8,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,6,7,2,8,4]=>[6,4,8,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,7,2,8,4]=>[6,4,3,8,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,5,7,8,2,4,6]=>[6,8,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,1,2,5,7,4,6,8]=>[6,8,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,5,1,2,4,7,8,6]=>[6,4,8,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,3,5,2,4,7,8,6]=>[8,6,4,7,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[3,1,2,5,7,4,8,6]=>[6,8,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,5,7,2,4,8,6]=>[8,6,4,2,7,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,8,2,4,6,7]=>[6,8,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,5,2,4,8,6,7]=>[6,8,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,2,5,4,8,6,7]=>[8,6,7,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,2,5,4,6,8,7]=>[6,8,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,6,2,4,8,7]=>[8,6,4,3,7,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,2,4,6,7,8]=>[8,6,4,7,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,6,2,4,7,8]=>[8,6,4,3,7,5,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[3,1,2,5,6,7,4,8]=>[6,8,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,5,6,2,7,8,4]=>[8,6,4,3,7,2,1,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,6,7,2,4,8,5]=>[6,8,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,7,1,8,2,4,5]=>[6,3,2,8,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,2,6,4,7,5,8]=>[6,8,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,3,2,6,4,7,5,8]=>[8,6,7,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,1,2,4,7,8,5]=>[6,3,8,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,2,6,4,7,8,5]=>[6,8,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,3,6,7,2,4,8,5]=>[8,6,3,2,7,5,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,1,2,6,4,8,5,7]=>[6,8,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,3,2,6,4,8,5,7]=>[8,6,7,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,1,6,2,4,5,8,7]=>[6,8,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,1,2,4,5,8,7]=>[6,3,8,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,3,2,4,6,8,5,7]=>[8,6,7,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,3,2,6,4,5,7,8]=>[8,6,7,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,1,2,4,6,7,5,8]=>[6,8,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,3,4,6,2,7,5,8]=>[8,6,5,3,7,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,3,4,6,2,7,8,5]=>[8,6,5,3,7,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,6,7,8,2,5]=>[8,6,5,3,2,1,7,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[3,1,7,8,2,4,5,6]=>[6,8,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,7,1,8,2,4,5,6]=>[6,2,8,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,7,2,4,8,5,6]=>[6,8,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,2,7,4,8,5,6]=>[8,6,7,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[3,1,2,7,8,4,5,6]=>[6,8,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,7,2,4,5,8,6]=>[6,8,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,2,7,4,5,8,6]=>[6,8,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,3,4,2,7,5,8,6]=>[8,6,5,7,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[3,1,2,4,7,8,5,6]=>[6,8,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,7,1,2,4,5,6,8]=>[6,2,8,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,3,2,7,4,5,6,8]=>[8,6,7,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,3,2,4,5,8,6,7]=>[8,6,7,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,2,5,8,6,7]=>[8,6,5,7,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[4,1,5,2,6,3,8,7]=>[5,8,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,6,2,3,8,7]=>[5,8,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,6,2,3,8,7]=>[5,4,8,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,6,2,8,3,7]=>[5,4,8,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,1,8,2,3,7]=>[5,4,3,8,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,6,2,3,7,8]=>[5,8,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,6,2,7,3,8]=>[5,4,8,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,6,7,2,3,8]=>[5,8,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,6,7,2,8,3]=>[5,8,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,6,7,2,8,3]=>[5,4,8,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,1,7,2,8,3]=>[5,4,3,8,2,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,1,7,8,2,3]=>[5,4,3,8,2,1,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,1,8,2,3]=>[5,4,3,2,8,1,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,5,2,7,3,8,6]=>[5,8,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,5,2,7,3,6,8]=>[5,8,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,1,2,7,3,6,8]=>[5,4,8,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,4,2,5,3,7,6,8]=>[8,5,7,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,2,5,3,7,8,6]=>[5,8,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[4,1,2,5,7,3,8,6]=>[5,8,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,4,5,7,8,2,3,6]=>[8,5,4,2,1,7,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[4,1,5,2,8,3,6,7]=>[5,8,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,2,8,3,6,7]=>[5,4,8,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,2,8,3,6,7]=>[8,5,4,7,1,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,6,8,2,3,7]=>[8,5,4,3,1,7,6,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,5,6,3,7,8]=>[8,5,7,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,6,2,3,7,8]=>[8,5,4,3,7,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,6,2,7,3,8]=>[8,5,4,3,7,2,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,6,2,7,8,3]=>[8,5,4,3,7,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,5,6,7,2,8,3]=>[8,5,4,3,2,7,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,2,7,8,3,5]=>[5,8,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,7,2,8,3,5]=>[5,8,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,7,1,2,3,5,8]=>[5,3,2,8,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,6,2,3,7,5,8]=>[8,5,3,7,6,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,2,3,7,8,5]=>[5,8,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,2,3,7,8,5]=>[5,3,8,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,6,7,3,8,5]=>[5,8,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,6,8,2,3,5,7]=>[5,8,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,3,6,8,5,7]=>[8,5,7,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,2,4,6,3,7,5,8]=>[8,7,5,3,6,2,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,2,4,6,7,3,8,5]=>[8,7,5,3,2,6,1,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,1,8,2,3,5,6]=>[5,2,8,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,7,2,3,8,5,6]=>[5,8,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,7,2,3,5,8,6]=>[5,8,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,2,4,3,7,5,8,6]=>[8,7,5,6,2,4,1,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,7,3,5,6,8]=>[8,5,7,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,4,2,3,5,7,8,6]=>[8,5,7,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,2,4,5,7,3,8,6]=>[8,7,5,4,2,6,1,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,3,5,8,6,7]=>[8,5,7,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,2,4,3,5,8,6,7]=>[8,7,5,6,4,1,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,7,2,3,8,4]=>[4,3,8,2,7,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,7,1,2,3,8,4]=>[4,3,2,8,7,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,2,7,8,3,4]=>[4,8,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,7,8,2,3,4]=>[4,8,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,2,7,3,4,8]=>[4,3,8,7,2,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,7,2,3,4,8]=>[4,8,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,2,3,7,8,4]=>[4,8,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,6,2,3,7,8,4]=>[8,4,3,7,6,2,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,2,6,7,3,8,4]=>[4,8,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,6,2,7,3,8,4]=>[8,4,3,7,2,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,2,8,3,4,7]=>[4,3,8,7,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,6,1,2,3,8,4,7]=>[4,3,8,7,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,6,3,8,4,7]=>[8,4,7,3,6,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,6,8,3,4,7]=>[8,4,7,3,1,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,2,3,6,4,8,7]=>[8,4,7,6,3,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,2,5,3,6,4,8,7]=>[8,7,4,6,3,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,3,6,8,4,7]=>[8,4,7,6,3,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,2,5,6,3,8,4,7]=>[8,7,4,3,6,1,5,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,2,5,6,3,7,4,8]=>[8,7,4,3,6,2,5,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,2,5,6,3,7,8,4]=>[8,7,4,3,6,2,1,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,5,6,7,3,8,4]=>[8,7,4,3,2,6,1,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,1,7,2,8,3,4,6]=>[4,8,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,7,1,2,8,3,4,6]=>[4,2,8,7,1,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,7,1,8,2,3,4,6]=>[4,2,8,1,7,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,1,7,2,3,8,4,6]=>[4,8,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,5,2,7,3,8,4,6]=>[8,4,7,2,6,1,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,5,7,2,3,8,4,6]=>[8,4,2,7,6,1,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[5,1,2,7,8,3,4,6]=>[4,8,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,5,2,7,8,3,4,6]=>[8,4,7,2,1,6,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[5,1,7,2,3,4,8,6]=>[4,8,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,5,7,2,3,4,8,6]=>[8,4,2,7,6,5,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,2,5,7,3,4,8,6]=>[8,7,4,2,6,5,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,2,5,7,3,4,6,8]=>[8,7,4,2,6,5,3,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[5,1,2,3,4,7,6,8]=>[4,8,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[5,1,2,3,4,7,8,6]=>[4,8,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,5,2,3,4,7,8,6]=>[8,4,7,6,5,2,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,2,5,3,4,8,6,7]=>[8,7,4,6,5,1,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,3,5,4,8,6,7]=>[8,7,6,4,5,1,3,2]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,2,3,4,6,7,8]=>[8,4,7,6,5,3,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,1,7,8,2,3,4,5]=>[3,8,2,1,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,6,7,2,3,4,8,5]=>[8,3,2,7,6,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,3,4,7,5,8]=>[8,3,7,6,5,2,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,2,6,3,8,4,5,7]=>[8,7,3,6,1,5,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,2,3,4,6,8,5,7]=>[8,7,6,5,3,1,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,2,3,6,4,5,7,8]=>[8,7,6,3,5,4,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[3,2,6,1,4,5,7,8]=>[6,7,3,8,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,2,7,1,3,4,5,8]=>[3,7,2,8,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,7,1,2,3,5,6]=>[1,5,2,8,7,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,3,5,8,1,2,6,7]=>[5,6,4,1,8,7,3,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,2,5,8,1,3,4,7]=>[3,7,4,1,8,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,2,6,7,1,3,4,5]=>[1,7,3,2,8,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,4,6,7,1,2,3,5]=>[1,5,3,2,8,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,8,2,4,1,3,6,7]=>[4,1,7,5,8,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,8,3,5,1,2,4,7]=>[3,1,6,4,8,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,2,6,1,3,4,5]=>[2,1,7,3,8,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[6,5,2,4,1,3,7,8]=>[3,4,7,5,8,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,4,2,7,1,3,6,8]=>[4,5,7,2,8,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,5,3,7,1,2,4,8]=>[3,4,6,2,8,7,5,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,4,2,5,1,3,6,8]=>[2,5,7,4,8,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,5,2,4,1,3,6,8]=>[2,4,7,5,8,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,2,8,1,4,5,7]=>[3,6,7,1,8,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,2,8,1,3,5,7]=>[3,5,7,1,8,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,3,8,1,2,5,7]=>[3,5,6,1,8,7,4,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,3,8,1,2,4,7]=>[3,4,6,1,8,7,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,6,3,8,1,2,4,5]=>[2,3,6,1,8,7,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,6,3,5,1,2,4,7]=>[1,3,6,4,8,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,7,3,5,1,2,4,6]=>[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[3,6,2,5,8,1,4,7]=>[6,3,7,4,1,8,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,8,3,6,7,1,2,5]=>[5,1,6,3,2,8,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,8,4,6,7,1,2,3]=>[4,1,5,3,2,8,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,3,6,8,1,2,7]=>[4,5,6,3,1,8,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,3,2,5,8,1,4,7]=>[3,6,7,4,1,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,3,5,8,1,2,7]=>[3,5,6,4,1,8,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,2,7,8,1,4,6]=>[4,6,7,2,1,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,3,7,8,1,2,5]=>[3,5,6,2,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,5,2,7,8,1,3,4]=>[3,4,7,2,1,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,6,2,4,8,1,3,5]=>[2,3,7,5,1,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,3,6,7,1,2,5]=>[1,5,6,3,2,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,2,5,7,1,3,4]=>[1,3,7,4,2,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,6,3,5,7,1,2,4]=>[1,3,6,4,2,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,2,5,6,1,3,4]=>[1,2,7,4,3,8,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,7,3,5,1,2,8]=>[3,5,2,6,4,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,8,2,7,1,3,6]=>[4,5,1,7,2,8,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,5,8,3,4,1,2,6]=>[2,4,1,6,5,8,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,6,8,2,4,1,3,5]=>[2,3,1,7,5,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,3,2,8,1,5,7]=>[3,5,6,7,1,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,4,3,2,8,1,5,6]=>[2,5,6,7,1,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,6,5,3,8,1,2,4]=>[2,3,4,6,1,8,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[8,4,3,2,7,1,5,6]=>[1,5,6,7,2,8,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[8,7,5,2,4,1,3,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,5,2,6,1,3,4]=>[1,2,4,7,3,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,7,5,3,6,1,2,4]=>[1,2,4,6,3,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,7,6,3,5,1,2,4]=>[1,2,3,6,4,8,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,3,8,2,7,1,5]=>[3,5,6,1,7,2,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,5,3,8,2,7,1,4]=>[3,4,6,1,7,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,4,8,3,7,1,2]=>[3,4,5,1,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,5,4,8,2,6,1,3]=>[2,4,5,1,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[7,6,4,8,3,5,1,2]=>[2,3,5,1,6,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,6,5,8,2,4,1,3]=>[2,3,4,1,7,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,6,4,7,3,5,1,2]=>[1,3,5,2,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,7,5,4,2,6,1,3]=>[1,2,4,5,7,3,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[8,1,2,3,4,7,5,6]=>[1,8,7,6,5,2,4,3]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,2,3,6,7,4,5]=>[1,8,7,6,3,2,5,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,2,5,6,3,8,4]=>[2,8,7,4,3,6,1,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,1,4,2,8,3,6,7]=>[4,8,5,7,1,6,3,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,4,2,7,3,8,6]=>[4,8,5,7,2,6,1,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,1,5,2,6,3,8,4]=>[2,8,4,7,3,6,1,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,1,4,2,6,7,8,3]=>[4,8,5,7,3,2,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,1,6,5,2,7,3,4]=>[1,8,3,4,7,2,6,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[3,1,8,5,6,2,4,7]=>[6,8,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,8,5,7,2,4,6]=>[6,8,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,7,5,6,2,8,4]=>[6,8,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,1,4,5,6,2,8,3]=>[2,8,5,4,3,7,1,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,7,1,5,3,4,8,6]=>[7,2,8,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,6,1,5,3,8,4,7]=>[7,3,8,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,3,1,2,4,7,8,5]=>[3,6,8,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,3,1,2,7,4,5,6]=>[1,6,8,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[5,3,1,2,6,7,8,4]=>[4,6,8,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,4,1,2,6,3,8,5]=>[2,5,8,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,8,1,2,7,3,4,6]=>[4,1,8,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[5,7,1,2,6,3,8,4]=>[4,2,8,7,3,6,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[5,4,1,2,6,7,8,3]=>[4,5,8,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,1,6,2,8,5,7]=>[5,6,8,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,1,6,2,7,8,5]=>[5,6,8,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,3,1,5,2,4,6,7]=>[1,6,8,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,3,1,5,2,4,8,6]=>[2,6,8,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,3,1,8,2,4,5,6]=>[2,6,8,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,3,1,6,2,4,8,5]=>[2,6,8,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,3,1,5,2,7,4,6]=>[1,6,8,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,1,6,2,7,4,5]=>[1,6,8,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,1,5,2,3,6,7]=>[1,5,8,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[7,4,1,5,2,3,8,6]=>[2,5,8,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,4,1,6,2,3,5,7]=>[1,5,8,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[7,4,1,8,2,3,5,6]=>[2,5,8,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,4,1,6,2,3,8,5]=>[2,5,8,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,7,1,5,2,3,4,6]=>[1,2,8,4,7,6,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,4,1,5,2,8,3,7]=>[3,5,8,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,1,7,6,2,4,5]=>[1,6,8,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[7,3,1,5,6,2,8,4]=>[2,6,8,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[8,4,1,5,6,2,3,7]=>[1,5,8,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,4,1,5,7,2,3,6]=>[1,5,8,4,2,7,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,1,5,6,7,8,2]=>[5,6,8,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,8,4,1,6,3,5,7]=>[7,1,5,8,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,8,4,1,7,3,5,6]=>[7,1,5,8,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,7,4,1,6,3,8,5]=>[7,2,5,8,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,7,5,1,6,3,8,4]=>[7,2,4,8,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,3,4,1,2,7,5,6]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,3,5,1,2,4,8,6]=>[2,6,4,8,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,3,5,1,2,8,4,7]=>[3,6,4,8,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,5,1,7,2,4,6]=>[1,6,4,8,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,3,8,1,6,2,4,5]=>[2,6,1,8,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,8,4,6,1,3,5,7]=>[7,1,5,3,8,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,6,4,5,1,8,3,7]=>[7,3,5,4,8,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,8,4,6,1,7,3,5]=>[7,1,5,3,8,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,3,8,6,1,2,4,5]=>[2,6,1,3,8,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,3,8,5,6,1,4,7]=>[7,6,1,4,3,8,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,7,4,5,6,1,8,3]=>[7,2,5,4,3,8,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[8,3,7,5,6,1,2,4]=>[1,6,2,4,3,8,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[6,4,3,7,2,5,1,8]=>[3,5,6,2,7,4,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,1,5,4,7,6,2,3]=>[1,8,4,5,2,3,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,1,6,7,4,5,2,3]=>[1,8,3,2,5,4,7,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,2,1,7,8,5,6,4]=>[6,7,8,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,3,7,1,5,2,6]=>[1,5,6,2,8,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[6,4,3,8,2,1,5,7]=>[3,5,6,1,7,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,5,2,3,1,8,7,6]=>[5,4,7,6,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,4,3,1,2,8,7,5]=>[3,5,6,8,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,4,3,1,8,2,6,5]=>[2,5,6,8,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,4,3,1,7,6,2,5]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,5,1,3,7,6,2,4]=>[1,4,8,6,2,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[7,5,1,3,8,2,6,4]=>[2,4,8,6,1,7,3,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,6,2,1,3,8,7,5]=>[5,3,7,8,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,6,1,8,3,2,5,4]=>[2,3,8,1,6,7,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,6,1,7,3,5,2,4]=>[1,3,8,2,6,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,6,8,7,3,5,4,2]=>[8,3,1,2,6,4,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[7,8,1,6,5,2,3,4]=>[2,1,8,3,4,7,6,5]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,2,5,3,7,6,8,1]=>[5,7,4,6,2,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,3,6,2,7,5,8,1]=>[5,6,3,7,2,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,1,5,4,7,2,8,6]=>[6,8,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[3,1,5,4,7,6,8,2]=>[6,8,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,1,5,3,7,6,8,2]=>[5,8,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,3,5,1,7,6,8,2]=>[5,6,4,8,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,3,6,5,7,1,8,2]=>[5,6,3,4,2,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,6,4,7,2,8,1]=>[4,6,3,5,2,7,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,6,4,7,1,8,2]=>[4,6,3,5,2,8,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,6,1,7,4,8,2]=>[4,6,3,8,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,1,6,3,7,2,8,4]=>[4,8,3,6,2,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,6,1,7,3,8,4]=>[4,7,3,8,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,6,3,7,1,8,5]=>[5,7,3,6,2,8,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,6,3,7,5,8,1]=>[5,7,3,6,2,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,5,1,7,4,8,6]=>[6,7,4,8,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,5,1,7,6,8,4]=>[6,7,4,8,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,6,1,7,5,8,4]=>[6,7,3,8,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,2,6,5,7,3,8,1]=>[5,7,3,4,2,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,6,5,7,1,8,3]=>[5,7,3,4,2,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[4,1,5,2,7,6,8,3]=>[5,8,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,1,5,3,7,6,8,4]=>[7,8,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,1,6,2,7,5,8,4]=>[6,8,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,1,6,2,7,5,8,3]=>[5,8,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,1,6,2,7,4,8,3]=>[4,8,3,7,2,5,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,2,6,1,7,4,8,3]=>[4,7,3,8,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,6,4,7,1,8,3]=>[4,7,3,5,2,8,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,6,4,7,3,8,1]=>[4,7,3,5,2,6,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,6,2,7,3,8,1]=>[4,5,3,7,2,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,6,5,7,2,8,3]=>[5,8,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,1,6,5,7,2,8,4]=>[6,8,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,1,6,5,7,4,8,2]=>[6,8,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,1,6,4,7,3,8,2]=>[4,8,3,5,2,6,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,6,3,5,2,4,1,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,7,5,2,4,1,8,6]=>[6,2,4,7,5,8,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[2,4,5,7,3,1,8,6]=>[7,5,4,2,6,8,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[8,2,4,6,5,3,1,7]=>[1,7,5,3,4,6,8,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,6,3,5,1,4,2,7]=>[1,3,6,4,8,5,7,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[8,6,1,4,5,3,2,7]=>[1,3,8,5,4,6,7,2]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[5,7,4,3,2,1,8,6]=>[4,2,5,6,7,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,4,6,7,3,2,8,5]=>[8,5,3,2,6,7,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[5,4,7,3,1,8,2,6]=>[4,5,2,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[5,7,4,2,1,3,8,6]=>[4,2,5,7,8,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[1,3,6,7,5,8,2,4]=>[8,6,3,2,4,1,7,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[3,7,6,5,8,2,1,4]=>[6,2,3,4,1,7,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,3,1,7,8,2,4,6]=>[4,6,8,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,7,2,6,4,8,1,5]=>[6,2,7,3,5,1,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[8,7,6,1,3,4,2,5]=>[1,2,3,8,6,5,7,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,6,7,2,1,5,4]=>[1,6,3,2,7,8,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[8,5,3,7,1,6,2,4]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[4,6,1,8,7,2,5,3]=>[5,3,8,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,1,2,5,6,7,4,3]=>[1,8,7,4,3,2,5,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,7,6,8,5,4,1,3]=>[7,2,3,1,4,5,8,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[1,7,2,5,8,6,4,3]=>[8,2,7,4,1,3,5,6]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,7,4,8,2,6,5,3]=>[8,2,5,1,7,3,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[2,7,8,6,1,3,5,4]=>[7,2,1,3,8,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[8,7,1,5,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[8,1,6,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,6,2,5,4,8,1,7]=>[6,3,7,4,5,1,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,3,1,6,8,2,4,7]=>[4,6,8,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,4,3,2,7,1,8,6]=>[4,5,6,7,2,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[3,5,8,7,1,4,6,2]=>[6,4,1,2,8,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,4,5,8,7,3,6,2]=>[8,5,4,1,2,6,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[6,4,3,8,1,7,5,2]=>[3,5,6,1,8,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,8,3,7,6,5,2,1]=>[5,1,6,2,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[6,1,7,5,3,2,8,4]=>[3,8,2,4,6,7,1,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[7,6,5,3,2,1,8,4]=>[2,3,4,6,7,8,1,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,3,6,2,4,1,8,5]=>[2,6,3,7,5,8,1,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,1,6,8,2,7,4,3]=>[4,8,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,8,1,7,5,4,3,2]=>[3,1,8,2,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,5,2,7,1,8,3,4]=>[3,4,7,2,8,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[5,6,3,2,1,4,8,7]=>[4,3,6,7,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,4,3,5,1,2,8,7]=>[3,5,6,4,8,7,1,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,3,1,4,6,2,8,7]=>[4,6,8,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,1,8,5,7,3,4,6]=>[7,8,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,3,8,2,1,6,5]=>[2,5,6,1,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,3,1,2,5,7,6,4]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[4,3,7,2,6,8,5,1]=>[5,6,2,7,3,1,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[7,8,2,4,3,6,1,5]=>[2,1,7,5,6,3,8,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,1,8,3,4,6,7,5]=>[7,8,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[7,1,8,4,5,3,2,6]=>[2,8,1,5,4,6,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[8,7,1,6,3,4,2,5]=>[1,2,8,3,6,5,7,4]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[3,8,6,7,2,4,1,5]=>[6,1,3,2,7,5,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,3,8,7,4,2,6,1]=>[4,6,1,2,5,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,3,5,8,2,4,1,6]=>[2,6,4,1,7,5,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[5,3,6,1,8,7,2,4]=>[4,6,3,8,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[5,8,3,6,1,7,2,4]=>[4,1,6,3,8,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,7,4,1,6,5,8,3]=>[7,2,5,8,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,6,1,2,8,7,3,5]=>[5,3,8,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,2,1,5,8,7,3]=>[3,5,7,8,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,5,2,7,4,8,3,1]=>[3,4,7,2,5,1,6,8]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,5,2,7,4,1,6,3]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,3,7,5,2,1,6,4]=>[1,6,2,4,7,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,4,3,6,1,2,8,7]=>[4,5,6,3,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,6,2,4,1,5,8,7]=>[6,3,7,5,8,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,6,3,7,4,8,1,2]=>[4,3,6,2,5,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,1,6,7,4,8,5,3]=>[7,8,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,8,7,4,3,6,5]=>[7,8,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,8,3,7,4,2,6,1]=>[4,1,6,2,5,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,8,1,3,5,2,6,4]=>[2,1,8,6,4,7,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[5,8,7,3,2,6,1,4]=>[4,1,2,6,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[8,4,2,1,7,5,3,6]=>[1,5,7,8,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,7,1,6,8,2,4,3]=>[4,2,8,3,1,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[8,6,2,5,1,7,4,3]=>[1,3,7,4,8,2,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[7,5,2,6,3,8,1,4]=>[2,4,7,3,6,1,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,1,2,3,6,8,7,5]=>[5,8,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,4,3,1,8,5,6,7]=>[7,5,6,8,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,5,2,8,3,4,6,1]=>[2,4,7,1,6,5,3,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,6,2,8,4,3,1,7]=>[4,3,7,1,5,6,8,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,6,8,7,1,5,4,2]=>[6,3,1,2,8,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,7,3,8,1,4,6,2]=>[4,2,6,1,8,5,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,5,8,4,6,3,7]=>[7,8,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,8,3,5,6,1,7]=>[7,5,1,6,4,3,8,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[4,1,8,3,6,5,2,7]=>[5,8,1,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[8,4,1,3,7,2,6,5]=>[1,5,8,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[3,1,8,2,4,7,6,5]=>[6,8,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,8,5,6,1,4,3,2]=>[2,1,4,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,8,4,2,1,5,3,6]=>[2,1,5,7,8,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,2,1,6,5,3,4]=>[2,1,7,8,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,4,8,1,5,7,3,6]=>[7,5,1,8,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[4,3,8,1,7,2,5,6]=>[5,6,1,8,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,3,1,4,7,2,5,8]=>[3,6,8,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,8,1,4,6,2,5,3]=>[2,1,8,5,3,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,3,5,4,2,1,6]=>[2,1,6,4,5,7,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,4,1,2,3,6,5]=>[2,1,5,8,7,6,3,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[6,1,2,5,8,7,4,3]=>[3,8,7,4,1,2,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,3,1,8,4,2,7,5]=>[3,6,8,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,2,1,5,3,8,7]=>[3,5,7,8,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,4,3,7,5,8,1,2]=>[3,5,6,2,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,8,7,5,6,1,2]=>[5,6,1,2,4,3,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[2,4,7,1,5,3,6,8]=>[7,5,2,8,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,1,7,5,6,8,4,3]=>[7,8,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,5,6,8,2,4,7,3]=>[8,4,3,1,7,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,1,6,3,4,2,8,7]=>[4,8,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,7,1,4,2,3,8,6]=>[4,2,8,5,7,6,1,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,7,6,4,3,8,1,2]=>[4,2,3,5,6,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,3,4,5,8,7,1,2]=>[3,6,5,4,1,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,2,4,1,8,3,7,5]=>[3,7,5,8,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,2,3,5,4,8,1,7]=>[3,7,6,4,5,1,8,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,6,2,4,7,8,3,5]=>[8,3,7,5,2,1,6,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[6,7,5,8,1,4,3,2]=>[3,2,4,1,8,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,8,7,6,3,4,1,2]=>[4,1,2,3,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,8,7,6,2,3,1,4]=>[4,1,2,3,7,6,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,7,2,6,5,3,8]=>[5,8,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,8,1,6,4,5,3,7]=>[7,1,8,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,8,7,5,1,4,3,6]=>[7,1,2,4,8,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[7,6,1,2,5,8,3,4]=>[2,3,8,7,4,1,6,5]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,1,7,8,4,3,5,6]=>[7,8,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,8,7,4,2,1,6,3]=>[4,1,2,5,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,6,2,4,3,5,7,8]=>[8,3,7,5,6,4,2,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,5,2,4,3,6,7,8]=>[8,4,7,5,6,3,2,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,7,2,5,3,4,6,8]=>[8,2,7,4,6,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,2,8,3,6,4,7]=>[8,4,7,1,6,3,5,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,4,2,8,3,6,5,7]=>[8,5,7,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,3,2,8,4,6,5,7]=>[8,6,7,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,3,2,7,4,6,5,8]=>[8,6,7,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[1,4,2,7,3,6,5,8]=>[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,2,4,3,7,6,8]=>[8,4,7,5,6,2,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[1,6,2,4,3,7,5,8]=>[8,3,7,5,6,2,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,7,2,4,3,6,5,8]=>[8,2,7,5,6,3,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,8,2,4,3,6,5,7]=>[8,1,7,5,6,3,4,2]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[1,8,2,4,3,7,5,6]=>[8,1,7,5,6,2,4,3]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,6,2,4,3,8,5,7]=>[8,3,7,5,6,1,4,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,6,2,5,3,8,4,7]=>[8,3,7,4,6,1,5,2]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,7,2,5,3,8,4,6]=>[8,2,7,4,6,1,5,3]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[1,8,2,5,3,7,4,6]=>[8,1,7,4,6,2,5,3]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[1,3,2,8,4,7,5,6]=>[8,6,7,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,4,2,8,3,7,5,6]=>[8,5,7,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,5,2,8,3,7,4,6]=>[8,4,7,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,6,2,8,3,7,4,5]=>[8,3,7,1,6,2,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[2,8,5,3,4,1,6,7]=>[7,1,4,6,5,8,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,8,4,5,6,1,7,3]=>[7,1,5,4,3,8,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,2,8,5,1,4,7]=>[3,6,7,1,4,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,2,7,4,1,8,3]=>[3,4,7,2,5,8,1,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[5,6,8,2,3,1,7,4]=>[4,3,1,7,6,8,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,8,4,2,3,7,1]=>[3,4,1,5,7,6,2,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[7,5,3,8,2,4,1,6]=>[2,4,6,1,7,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[1,5,4,6,2,7,3,8]=>[8,4,5,3,7,2,6,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[5,2,4,7,1,8,3,6]=>[4,7,5,2,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,3,5,6,8,4,2,1]=>[2,6,4,3,1,5,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,6,1,5,8,4,7,3]=>[7,3,8,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,7,1,6,3,8,4,2]=>[4,2,8,3,6,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,1,4,2,7,8,6,5]=>[6,8,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,1,4,7,2,8,6,3]=>[4,8,5,2,7,1,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,3,4,5,7,1,8,2]=>[3,6,5,4,2,8,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,2,1,4,3,6,5,8]=>[2,7,8,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,6,3,2,5,4,1,8]=>[2,3,6,7,4,5,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,2,1,5,6,3,4,8]=>[2,7,8,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[6,4,7,5,1,3,8,2]=>[3,5,2,4,8,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,2,1,7,5,4,8,3]=>[3,7,8,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,2,1,8,5,4,7,6]=>[6,7,8,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[1,8,7,5,6,3,4,2]=>[8,1,2,4,3,6,5,7]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[2,5,8,6,7,1,3,4]=>[7,4,1,3,2,8,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[3,2,1,8,6,7,4,5]=>[6,7,8,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,2,1,7,6,8,4,3]=>[4,7,8,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,6,7,5,8,3,1,2]=>[5,3,2,4,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,2,1,6,7,8,3,4]=>[4,7,8,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,2,1,5,7,3,8,4]=>[3,7,8,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[6,4,3,2,1,7,8,5]=>[3,5,6,7,8,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,2,1,4,3,7,8,5]=>[3,7,8,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,2,1,4,3,8,7,6]=>[4,7,8,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,5,3,2,8,1,7,6]=>[5,4,6,7,1,8,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,6,3,2,8,7,1,5]=>[5,3,6,7,1,2,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[3,6,4,8,2,7,1,5]=>[6,3,5,1,7,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,4,5,8,1,2,7,6]=>[6,5,4,1,8,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,2,1,5,8,3,7,6]=>[5,7,8,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,2,1,6,8,7,3,5]=>[5,7,8,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,4,6,8,1,7,2,5]=>[6,5,3,1,8,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,7,8,5,4,1,2]=>[6,3,2,1,4,5,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,2,1,7,8,6,5,3]=>[5,7,8,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[2,5,8,7,6,1,4,3]=>[7,4,1,2,3,8,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[8,1,4,3,2,7,6,5]=>[1,8,5,6,7,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[6,3,2,1,4,5,8,7]=>[3,6,7,8,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,2,4,8,6,1,7]=>[6,4,7,5,1,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,2,3,1,8,6,7]=>[4,5,7,6,8,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[6,5,3,1,8,2,7,4]=>[3,4,6,8,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,5,4,1,8,7,2,3]=>[3,4,5,8,1,2,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,5,1,4,8,6,2,3]=>[2,4,8,5,1,3,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,1,3,2,8,6,5]=>[2,5,8,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,6,1,8,4,5,2,3]=>[2,3,8,1,5,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,8,1,4,5,2,3]=>[3,2,1,8,5,4,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,7,8,1,3,2,5,4]=>[3,2,1,8,6,7,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,2,6,7,3,1,5,8]=>[5,7,3,2,6,8,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,7,8,3,2,1,6,5]=>[5,2,1,6,7,8,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,7,8,3,1,2,6,4]=>[4,2,1,6,8,7,3,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,6,3,8,2,1,7,5]=>[5,3,6,1,7,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,2,5,3,7,1,6,8]=>[5,7,4,6,2,8,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[2,6,5,1,7,8,4,3]=>[7,3,4,8,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,4,1,2,8,5,3,7]=>[3,5,8,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,1,2,8,6,5,7]=>[5,6,8,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[6,1,2,5,8,3,4,7]=>[3,8,7,4,1,6,5,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[2,6,1,5,7,8,3,4]=>[7,3,8,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,6,1,5,8,3,2,4]=>[2,3,8,4,1,6,7,5]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[3,6,7,1,5,8,2,4]=>[6,3,2,8,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[7,1,6,5,8,2,4,3]=>[2,8,3,4,1,7,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[7,5,1,6,8,4,2,3]=>[2,4,8,3,1,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,4,1,6,8,5,2,3]=>[2,5,8,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,2,1,5,8,7,3,4]=>[3,7,8,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,3,1,5,8,6,2,4]=>[2,6,8,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,1,6,4,8,2,5,3]=>[2,8,3,5,1,7,4,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[7,3,1,4,8,6,2,5]=>[2,6,8,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[2,6,1,4,7,8,3,5]=>[7,3,8,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,1,3,5,8,2,4,6]=>[2,8,6,4,1,7,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[7,8,5,6,1,3,4,2]=>[2,1,4,3,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[7,8,1,3,6,2,5,4]=>[2,1,8,6,3,7,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,1,2,5,7,3,8]=>[5,3,8,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,8,1,5,4,6,3,2]=>[2,1,8,4,5,3,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[2,6,4,8,3,7,1,5]=>[7,3,5,1,6,2,8,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[3,5,8,4,7,6,1,2]=>[6,4,1,5,2,3,8,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[1,4,7,2,5,3,8,6]=>[8,5,2,7,4,6,1,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,6,5,7,8,2,1,4]=>[6,3,4,2,1,7,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,1,6,8,4,5,3,7]=>[7,8,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[2,7,1,8,5,3,4,6]=>[7,2,8,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,7,6,8,5,4,1,2]=>[6,2,3,1,4,5,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,3,8,5,6,7,1,2]=>[5,6,1,4,3,2,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,2,8,1,6,3,7,5]=>[5,7,1,8,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[3,1,8,5,4,6,7,2]=>[6,8,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,7,3,8,5,2,6,4]=>[8,2,6,1,4,7,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[7,6,5,8,1,3,4,2]=>[2,3,4,1,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[3,6,5,4,1,2,7,8]=>[6,3,4,5,8,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,5,2,7,1,8,4,3]=>[3,4,7,2,8,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,7,6,4,1,8,3,2]=>[4,2,3,5,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[6,1,5,2,8,3,4,7]=>[3,8,4,7,1,6,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,7,5,3,8,4,1,2]=>[3,2,4,6,1,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[6,8,1,4,2,5,7,3]=>[3,1,8,5,7,4,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[1,6,4,2,5,7,3,8]=>[8,3,5,7,4,2,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[1,6,3,7,5,4,2,8]=>[8,3,6,2,4,5,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[7,4,2,6,5,1,3,8]=>[2,5,7,3,4,8,6,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[7,2,3,5,4,1,6,8]=>[2,7,6,4,5,8,3,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,2,8,1,3,7,4,5]=>[3,7,1,8,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[5,2,1,8,6,3,7,4]=>[4,7,8,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,3,8,7,6,2,4,1]=>[4,6,1,2,3,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[5,1,8,4,6,2,7,3]=>[4,8,1,5,3,7,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[6,8,5,1,2,3,7,4]=>[3,1,4,8,7,6,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,6,2,7,5,1,4,8]=>[6,3,7,2,4,8,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[3,5,2,7,8,1,6,4]=>[6,4,7,2,1,8,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[6,4,1,7,5,2,3,8]=>[3,5,8,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,1,3,7,5,2,4,8]=>[3,8,6,2,4,7,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[2,6,3,7,5,8,1,4]=>[7,3,6,2,4,1,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[5,7,4,6,2,8,1,3]=>[4,2,5,3,7,1,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[8,5,2,4,1,6,7,3]=>[1,4,7,5,8,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,1,3,6,2,5,7]=>[1,5,8,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,6,2,3,7,8,1,4]=>[4,3,7,6,2,1,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,4,3,6,5,1,7,2]=>[1,5,6,3,4,8,2,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[8,7,5,4,1,6,3,2]=>[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[6,8,5,4,2,1,7,3]=>[3,1,4,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[3,2,8,6,5,1,7,4]=>[6,7,1,3,4,8,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[3,2,1,7,6,4,5,8]=>[6,7,8,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[4,1,3,7,6,2,5,8]=>[5,8,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[4,1,3,8,2,7,5,6]=>[5,8,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,2,1,8,4,7,5,6]=>[6,7,8,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[8,6,7,1,4,5,3,2]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[6,7,8,1,3,4,5,2]=>[3,2,1,8,6,5,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[4,7,2,8,1,5,6,3]=>[5,2,7,1,8,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,2,7,8,1,5,6,4]=>[6,7,2,1,8,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[3,2,6,8,4,1,7,5]=>[6,7,3,1,5,8,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[4,6,2,8,3,1,7,5]=>[5,3,7,1,6,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[7,5,8,3,1,4,6,2]=>[2,4,1,6,8,5,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,4,3,7,1,6,5,2]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[7,4,3,8,1,5,6,2]=>[2,5,6,1,8,4,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,3,2,8,1,7,6]=>[4,5,6,7,1,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[5,7,1,3,2,6,4,8]=>[4,2,8,6,7,3,5,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[6,7,1,2,4,5,3,8]=>[3,2,8,7,5,4,6,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[7,8,1,2,3,5,6,4]=>[2,1,8,7,6,4,3,5]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[1,4,2,6,8,5,7,3]=>[8,5,7,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[4,3,1,7,6,8,5,2]=>[5,6,8,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,7),(1,3