Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[1,2]=>[.,[.,.]]
[2,1]=>[1,2]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,3,2]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,3]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,3,1]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,1,2]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,2,1]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,3]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,4,3,2]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[2,1,3,4]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,4,3]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[2,3,1,4]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[2,4,1,3]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,1,2,4]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,1,4,2]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[3,2,1,4]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[3,2,4,1]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,4,1,2]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[3,4,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,1,2,3]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,1,3,2]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,1,3]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,3,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,1,2]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[1,2,5,4,3]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[1,3,5,2,4]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[1,3,5,4,2]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[1,4,2,3,5]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[1,4,3,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[1,4,3,5,2]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[1,4,5,3,2]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[1,5,2,3,4]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[1,5,2,4,3]=>[1,5,2,4,3]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[1,5,3,2,4]=>[1,5,2,4,3]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[1,5,3,4,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[1,5,4,2,3]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[1,5,4,3,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,1,3,4,5]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[2,1,3,5,4]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[2,1,4,3,5]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[2,1,4,5,3]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[2,1,5,3,4]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,1,5,4,3]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,3,1,4,5]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[2,3,1,5,4]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,3,4,1,5]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[2,3,5,1,4]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[2,4,1,3,5]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[2,4,1,5,3]=>[1,5,2,4,3]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,4,3,1,5]=>[1,5,2,4,3]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,4,3,5,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[2,4,5,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[2,4,5,3,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[2,5,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[2,5,1,4,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[2,5,3,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[2,5,4,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,1,2,4,5]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,1,2,5,4]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,1,4,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,1,4,5,2]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[3,1,5,2,4]=>[1,5,2,4,3]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[3,1,5,4,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[3,2,1,4,5]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[3,2,1,5,4]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[3,2,4,1,5]=>[1,5,2,4,3]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[3,2,4,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,2,5,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,4,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,4,1,2,5]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,4,1,5,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[3,4,2,1,5]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[3,4,2,5,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,4,5,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,4,5,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[3,5,1,4,2]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[3,5,2,1,4]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[3,5,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[3,5,4,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[3,5,4,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,1,2,3,5]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,1,2,5,3]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[4,1,3,2,5]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,1,3,5,2]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[4,1,5,2,3]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[4,1,5,3,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[4,2,1,3,5]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[4,2,1,5,3]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[4,2,3,1,5]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[4,2,3,5,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,2,5,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,2,5,3,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[4,3,1,2,5]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[4,3,1,5,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[4,3,2,1,5]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[4,3,2,5,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[4,3,5,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,3,5,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,5,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[4,5,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[4,5,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,1,2,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,1,2,4,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,1,3,2,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,3,4,2]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,1,4,2,3]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,1,4,3,2]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,2,1,4,3]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,3,1,4]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,3,4,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,4,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,2,4,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,1,4,2]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,3,2,1,4]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,3,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,4,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,4,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,2,3,6,4,7,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[1,2,3,7,5,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[1,2,3,7,6,4,5]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,4,5,7,3,6]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,4,5,7,6,3]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,4,6,3,7,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,4,6,5,7,3]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,4,6,7,3,5]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[1,2,4,6,7,5,3]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[1,2,4,7,5,3,6]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[1,2,4,7,5,6,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,4,7,6,3,5]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,4,7,6,5,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,3,6,7,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,3,7,6,4]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,4,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,4,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,4,6,7,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,4,7,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,4,7,6,3]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,5,6,4,7,3]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,5,6,7,4,3]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[1,2,5,7,4,3,6]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[1,2,5,7,4,6,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,5,7,6,3,4]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,5,7,6,4,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,3,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,6,3,5,7,4]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,3,7,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,4,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,6,4,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,4,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,4,7,3,5]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,6,4,7,5,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,5,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,5,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,5,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,5,7,3,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,6,7,3,4,5]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,6,7,4,3,5]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,6,7,4,5,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[1,2,6,7,5,4,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,3,5,6,4]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,3,6,5,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,4,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[1,2,7,4,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,4,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,4,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,4,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,4,6,5,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,7,5,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,5,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,5,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,7,5,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,6,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,7,6,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,5,7,6,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,5,7,4]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[1,3,2,6,7,5,4]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[1,3,2,7,5,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,2,7,6,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[1,3,4,2,7,5,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,2,7,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,5,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,5,7,2]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,7,2,5]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,6,7,5,2]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,7,2,6,5]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,7,5,2,6]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,7,6,2,5]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,2,6,7,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,2,7,6,4]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,6,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,4,6,7,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,4,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,4,7,2]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,6,7,2,4]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,6,7,4,2]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,5,7,4,2,6]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,5,7,4,6,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,2,4,7,5]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,2,5,7,4]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,2,7,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,2,7,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,2,5,7]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,4,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,5,7,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,4,7,2,5]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,6,4,7,5,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,2,4,7]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,4,7,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,5,7,4,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,6,7,2,4,5]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,6,7,2,5,4]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,6,7,4,2,5]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,6,7,4,5,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,6,7,5,2,4]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,6,7,5,4,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,1,6,7,5,4,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,1,7,4,3,5,6]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,1,7,4,5,6,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,7,4,6,5,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,1,7,5,3,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,1,7,5,4,6,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,5,6,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,1,7,6,4,5,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,6,5,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,3,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,3,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,3,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,3,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,3,4,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,4,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,4,5,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,5,7,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[2,3,4,6,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,3,4,6,5,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[2,3,4,6,7,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,3,4,6,7,5,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[2,3,4,7,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,3,4,7,1,6,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,4,7,5,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[2,3,4,7,6,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[2,3,5,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,3,5,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,4,1,6,7]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[2,3,5,4,7,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[2,3,5,6,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,5,6,1,7,4]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[2,3,5,6,4,1,7]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[2,3,5,6,4,7,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[2,3,5,6,7,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,3,5,6,7,4,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[2,3,5,7,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,3,5,7,4,1,6]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,3,5,7,4,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[2,3,5,7,6,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,3,5,7,6,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[2,3,6,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,6,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,3,6,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,3,6,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,4,1,5,7]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,4,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,3,6,4,7,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[2,3,6,5,1,4,7]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,3,6,5,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[2,3,6,7,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,3,6,7,1,5,4]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,6,7,4,1,5]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[2,3,6,7,5,1,4]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,3,6,7,5,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,3,7,6,1,4,5]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,4,7,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,3,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,4,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,5,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,7,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,7,6,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,7,6,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,6,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,2,3,4,7,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,1,2,3,5,4,7]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,1,2,3,5,7,4]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,1,2,3,7,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,1,2,4,3,5,7]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,1,2,4,3,7,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,1,2,4,5,7,3]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,2,5,3,4,7]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,4,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,4,7,3]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,1,2,7,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,2,7,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,1,2,7,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,1,2,7,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,2,7,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,3,2,4,5,7]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,1,3,2,5,4,7]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,1,3,2,5,7,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,1,3,2,7,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,1,3,2,7,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,1,3,4,2,7,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,1,3,4,5,2,7]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,4,5,7,2]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,4,7,2,5]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,4,7,5,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,5,2,4,7]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,2,7,4]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,4,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,4,7,2]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,3,5,7,2,4]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,5,7,4,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,7,2,5,4]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,7,4,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,7,4,5,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,7,5,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,7,5,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,4,2,3,5,7]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,2,5,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,2,5,7,3]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,2,7,5,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,5,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,3,5,7,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,3,7,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,1,4,5,2,3,7]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,4,5,2,7,3]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,4,5,3,7,2]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,4,5,7,2,3]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,5,7,3,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,2,3,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,2,5,3]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,1,4,7,3,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,1,4,7,3,5,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,5,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,4,7,5,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,2,4,3,7]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,5,2,4,7,3]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,5,2,7,3,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,2,7,4,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,3,2,4,7]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,1,5,3,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,3,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,3,7,2,4]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,4,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,5,7,2,4,3]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,5,7,3,4,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,5,7,4,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,5,7,4,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,3,4,7,5]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,3,5,4,7]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,1,3,5,7,4]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,1,3,7,4,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,3,7,5,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,1,4,5,3,7]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,1,4,5,7,3]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,1,4,7,3,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,1,4,7,5,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,1,5,7,3,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,1,5,7,4,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,3,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,4,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,4,7,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,2,3,5,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,3,5,4,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,2,3,5,7,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,3,5,7,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,2,3,7,1,4,5]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,2,3,7,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,3,7,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,4,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,4,1,5,3,7]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,4,1,5,7,3]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,1,5,7]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,3,5,7,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,2,4,3,7,1,5]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,4,3,7,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,2,4,5,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,4,5,1,7,3]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,2,4,5,3,1,7]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,2,4,5,7,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,2,4,5,7,3,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,2,4,7,1,3,5]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,4,7,1,5,3]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,4,7,3,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,2,5,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,5,1,3,7,4]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,5,1,4,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,5,1,4,7,3]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,3,1,4,7]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,3,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,3,7,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,5,3,7,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,4,1,3,7]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,4,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,4,7,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,2,5,4,7,3,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,5,7,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,2,5,7,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,5,7,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,2,5,7,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,2,7,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,7,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,2,7,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,2,7,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,2,7,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,2,7,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,2,7,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,2,7,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,2,7,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,2,7,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,2,7,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,1,2,5,4,7]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,1,2,7,4,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,1,2,7,5,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,3,1,4,7,5,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,1,5,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,1,5,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,1,5,7,4,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,2,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,3,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,2,5,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,2,7,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,2,7,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,2,7,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,2,7,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,2,7,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,4,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,4,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,3,4,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,4,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,5,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,3,4,5,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,4,7,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,4,7,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,4,7,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,3,4,7,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,5,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,5,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,5,2,7,4,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,4,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,5,4,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,5,4,7,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,3,5,4,7,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,3,5,7,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,3,5,7,1,4,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,5,7,2,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,5,7,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,3,5,7,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,3,5,7,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,7,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,7,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,7,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,7,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,7,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,7,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,3,7,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,3,7,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,3,7,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,3,7,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,1,2,3,7,5]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,1,2,7,5,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,1,3,2,7,5]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,1,3,7,5,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,2,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,2,3,7,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,2,7,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,2,7,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,3,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,3,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,3,7,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,5,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,4,5,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,4,5,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,5,7,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,4,5,7,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,7,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,7,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,7,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,7,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,4,7,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,5,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,5,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,5,7,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,5,7,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,7,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,4,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,4,6,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,1,2,6,4,3,5]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,1,2,6,4,5,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,2,6,5,3,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,2,6,5,4,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,3,2,6,5,4]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,6,5,2]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,4,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,4,6,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,5,6,4,2]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,6,4,2,5]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,3,6,4,5,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,6,5,2,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,6,5,4,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,5,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,4,5,3,6,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,5,6,3,2]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,1,4,6,3,2,5]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,1,4,6,3,5,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,5,2,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,4,6,5,3,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,2,6,4,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,3,2,4,6]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,5,3,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,3,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,3,4,6,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,3,6,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,4,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,6,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,4,6,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,5,6,3,2,4]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,5,6,3,4,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,5,6,4,2,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,3,2,4,5]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,1,6,3,2,5,4]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,3,4,5,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,3,5,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,4,2,5,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,4,3,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,2,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,2,4,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,6,5,3,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,4,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,6,5,4,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,3,5,4,6]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,1,3,5,6,4]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,1,3,6,4,5]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,3,6,5,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,1,4,5,3,6]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,1,4,6,3,5]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,1,4,6,5,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,1,5,3,4,6]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,4,6,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,1,5,6,3,4]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,1,5,6,4,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,1,6,3,4,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,1,6,4,5,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,6,5,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,1,6,5,4,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,3,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,4,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,4,5,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,2,3,5,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,2,3,5,4,6,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,3,5,6,4,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,6,4,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,1,5,3,6]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,1,6,5,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,1,6,5]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,5,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,4,3,5,6,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,4,3,6,5,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,5,1,6,3]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,4,5,6,3,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,4,6,1,5,3]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,4,6,3,1,5]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,2,5,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,5,1,4,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,5,1,4,6,3]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,5,1,6,3,4]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,1,6,4,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,3,1,4,6]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,5,3,1,6,4]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,3,4,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,3,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,3,6,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,5,3,6,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,5,4,1,6,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,4,3,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,4,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,2,5,6,4,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,1,3,5,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,1,4,3,5]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,1,4,5,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,6,1,5,3,4]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,2,6,3,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,2,6,4,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,6,4,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,6,5,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,5,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,6,5,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,2,6,5,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,6,5,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,1,2,5,4,6]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,1,2,6,4,5]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,1,2,6,5,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,4,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,3,1,4,6,5,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,1,5,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,1,5,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,1,5,4,6,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,1,5,6,4,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,1,6,4,5,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,2,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,2,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,3,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,2,5,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,6,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,2,6,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,2,6,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,2,6,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,5,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,4,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,4,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,4,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,4,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,3,4,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,3,4,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,4,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,5,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,5,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,5,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,6,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,4,6,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,4,6,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,5,1,2,6,4]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,5,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,5,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,5,2,6,4,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,4,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,5,4,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,4,6,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,3,5,6,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,5,6,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,6,4,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,3,5,6,4,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,6,1,2,5,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,6,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,6,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,6,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,4,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,6,4,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,4,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,3,6,4,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,3,6,5,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,6,5,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,3,6,5,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,1,2,3,6,5]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,1,2,6,5,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,1,3,2,6,5]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,1,3,6,5,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,2,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,2,1,6,5,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,2,3,1,6,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,2,3,6,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,3,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,3,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,3,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,3,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,5,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,5,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,5,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,5,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,6,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,5,7,4,8,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,4,6,8,3,2,1]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,4,6,7,3,8,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,6,5,3,4,8,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,6,4,3,5,8,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,3,4,5,7,8,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,3,5,6,7,8,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,7,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,7,4,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[6,4,5,7,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,4,3,7,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,6,5,4,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,6,5,3,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,4,3,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[3,4,5,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[5,2,3,4,6,7,8,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[4,3,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[3,4,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[4,2,3,5,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,2,4,5,6,7,8,1]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,3,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,5,3,4,6,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,4,3,5,6,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,5,7,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,6,7,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,4,7,3,8,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[5,4,6,7,3,8,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,6,3,7,8,1,2]=>[1,2,3,7,8,4,6,5]=>[1,2,3,6,8,5,7,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[5,6,3,4,7,8,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[6,4,3,5,7,8,1,2]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,3,4,5,7,8,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,5,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,3,5,6,7,8,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,5,4,2,1,3]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,1,2,3]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,8,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[7,5,6,8,3,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,7,8,2,1,3,4]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,8,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,8,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,3,4,2,5,1,6]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,5,4,2,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,5,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,4,5,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,3,4,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[7,8,4,2,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,2,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,7,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,4,5,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,4,7,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,6,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,3,4,5,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,4,3,6,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,7,5,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,4,7,2,3,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,7,3,2,4,1,8]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,6,7,3,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,7,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,3,4,2,5,1,8]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[7,4,5,2,3,6,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,6,3,4,2,7,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[5,4,3,2,6,7,1,8]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[2,3,4,5,6,7,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,5,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,6,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,4,5,6,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,5,6,7,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,6,5,4,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[6,5,7,4,2,1,3,8]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[7,4,5,6,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,6,5,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[5,4,6,7,1,2,3,8]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,7,3,1,2,4,8]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,5,7,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,6,4,3,2,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,7,1,2,3,4,5,8]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,5,3,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[7,5,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[7,3,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,7,4,5,6,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[7,2,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,4,3,2,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[4,2,3,5,6,1,7,8]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[2,3,4,5,6,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,6,4,3,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,4,6,2,1,3,7,8]=>[1,3,7,8,2,4,6,5]=>[1,4,3,6,8,5,7,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[4,5,6,1,2,3,7,8]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[6,4,3,1,2,5,7,8]=>[1,2,5,7,8,3,4,6]=>[1,2,4,6,5,8,7,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[6,4,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,1,2,3,4,5,7,8]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,4,3,2,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,5,2,3,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,2,3,4,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,4,5,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,1,2,3,4,6,7,8]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,4,1,2,5,6,7,8]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,2,1,4,5,6,7,8]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[3,1,2,4,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[4,7,6,5,8,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,7,6,8,5,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[3,5,8,7,6,4,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,5,6,8,7,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,5,6,7,8,4,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[3,4,5,8,7,6,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,3,6,5,8,7,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[5,7,6,4,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[2,7,8,6,5,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,5,6,7,8,4,3,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[2,4,8,7,6,5,3,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,4,6,8,7,5,3,1]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[2,7,6,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[2,3,5,6,8,7,4,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[2,3,5,6,7,8,4,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[4,3,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[3,2,4,8,7,6,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,4,3,2,8,7,6,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,4,3,2,7,8,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,5,4,3,8,7,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,5,4,3,7,8,6,1]=>[1,2,5,3,7,8,4,6]=>[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[2,4,5,3,7,8,6,1]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[3,4,2,5,7,8,6,1]=>[1,2,5,7,8,3,4,6]=>[1,2,4,6,5,8,7,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[2,5,4,3,6,8,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,4,3,5,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[2,5,4,7,6,3,8,1]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[2,5,4,6,7,3,8,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,3,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,4,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[2,4,3,7,6,5,8,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[3,2,4,7,6,5,8,1]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,4,3,2,7,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,3,5,2,7,6,8,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[2,5,4,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,2,5,4,7,6,8,1]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,5,4,3,6,7,8,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,7,8,6,5,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,6,8,7,5,4,3,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,7,6,8,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,5,8,7,6,4,3,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[1,7,6,5,8,4,3,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[1,3,5,7,8,6,4,2]=>[1,3,5,7,8,2,4,6]=>[1,4,3,6,5,8,7,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[1,3,6,5,7,8,4,2]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]=>[1,4,3,8,5,6,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,4,3,8,7,6,5,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,3,7,8,6,5,2]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[1,4,3,7,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,3,4,7,6,8,5,2]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[1,5,6,4,3,8,7,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,4,3,6,5,8,7,2]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,4,3,6,7,8,2]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,4,3,5,6,7,8,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,6,7,8,5,4,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,1,6,5,8,7,4,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,1,7,6,5,8,4,3]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,6,7,5,8,4,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[2,1,6,5,7,8,4,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,5,6,7,8,4,3]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,1,4,5,8,7,6,3]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,1,6,5,7,4,8,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,1,5,4,7,6,8,3]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,4,5,6,7,8,3]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,2,6,7,8,5,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[1,2,4,8,7,6,5,3]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,2,4,7,8,6,5,3]=>[1,2,4,7,8,3,5,6]=>[1,2,5,4,6,8,7,3]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[1,2,6,5,4,7,8,3]=>[1,2,6,3,4,7,8,5]=>[1,2,4,6,8,3,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,2,5,6,4,7,8,3]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[1,2,5,4,6,7,8,3]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,2,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,2,1,7,8,6,5,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,2,1,6,8,7,5,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,2,1,7,6,8,5,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,6,7,8,5,4]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,2,1,5,8,7,6,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,2,1,6,5,8,7,4]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,2,1,7,6,5,8,4]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,6,7,5,8,4]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[3,2,1,5,7,6,8,4]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,6,5,7,8,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,1,5,6,7,8,4]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,3,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[2,1,3,8,7,6,5,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[1,2,3,6,8,7,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,2,3,7,6,8,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,2,3,5,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,2,3,6,5,8,7,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,3,7,6,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,2,3,6,5,7,8,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[4,3,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[4,3,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,3,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,4,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,4,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,4,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,4,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,4,3,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,4,3,1,7,8,6,5]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,4,3,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,4,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,4,1,7,8,6,5]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[3,2,4,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,4,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,4,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,4,3,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,3,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,3,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,3,4,2,8,7,6,5]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[1,3,4,2,7,6,8,5]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[2,1,4,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,4,3,7,8,6,5]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[2,1,4,3,6,8,7,5]=>[1,4,2,3,6,8,5,7]=>[1,3,4,2,7,6,8,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,1,4,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,1,4,3,6,7,8,5]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,3,2,4,7,6,8,5]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[2,1,3,4,8,7,6,5]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,1,3,4,7,6,8,5]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,3,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[4,5,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,4,5,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,5,4,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,5,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,3,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,4,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,4,3,5,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,2,4,1,5,7,8,6]=>[1,5,7,8,2,4,3,6]=>[1,4,6,3,5,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,3,4,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,2,1,4,5,8,7,6]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,5,6,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,6,5,4,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,3,6,5,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,4,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,5,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,3,6,5,4,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,4,3,6,5,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,3,5,2,6,1,8,7]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,2,5,4,6,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,3,4,5,6,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,5,6,4,3,8,7]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[2,1,4,6,5,3,8,7]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,4,5,6,3,8,7]=>[1,4,5,6,2,3,8,7]=>[1,3,6,4,5,2,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[4,3,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,4,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,1,4,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,4,3,2,1,6,8,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,2,4,1,5,6,8,7]=>[1,5,6,8,2,4,3,7]=>[1,4,7,3,5,6,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,1,3,4,5,6,8,7]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,7,6,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,4,7,6,5,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,2,7,6,5,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,2,6,7,5,4,1,8]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,5,4,2,7,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,2,5,4,7,6,1,8]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[2,3,4,5,7,6,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,6,7,5,4,3,8]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,3,2,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[3,2,4,1,7,6,5,8]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,3,4,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[1,4,3,2,7,6,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,2,1,4,7,6,5,8]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,4,3,2,1,7,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,3,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,3,2,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,2,4,6,5,3,7,8]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,2,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,4,1,6,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,3,4,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,2,3,5,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,3,8,5,7,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[1,2,3,8,6,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,4,5,8,6,7,3]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,2,4,8,6,5,7,3]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[1,2,6,4,5,7,8,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,8,5,4,6,7,3]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[1,3,2,8,6,5,7,4]=>[1,3,2,8,4,5,7,6]=>[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[1,3,7,4,5,6,2,8]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,3,8,5,4,6,7,2]=>[1,3,8,2,4,6,7,5]=>[1,4,3,6,8,7,5,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[1,3,8,5,6,7,4,2]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,3,8,6,5,7,4,2]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[1,5,3,4,6,7,8,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,8,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,5,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,7,4,5,6,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,7,4,6,5,3,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,8,6,5,4,7,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,7,5,4,6,3,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,8,7,5,6,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,3,8,5,7,6,4]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[2,1,4,3,8,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,4,5,8,6,7,3]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,1,7,4,6,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,1,8,5,4,7,6,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[2,3,6,4,5,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,5,3,4,8,6,7,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,8,3,4,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,8,3,5,4,7,6,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[2,8,3,5,7,6,4,1]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[2,5,4,3,8,6,7,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,8,4,3,5,7,6,1]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[3,2,1,5,8,6,7,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,2,1,7,5,6,4,8]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,7,5,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,2,1,8,5,7,6,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,2,4,1,8,6,7,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,7,4,6,5,8,1]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,2,7,5,4,6,1,8]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,2,3,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,2,3,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,2,3,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,2,3,7,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,2,3,4,6,5,1,8]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[7,2,3,6,5,4,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,2,4,3,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,2,4,3,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,2,4,3,6,1,7,8]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,2,4,3,6,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,2,4,3,7,6,8,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,2,4,3,6,5,8,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,7,5,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,3,2,8,5,7,6,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[5,3,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,3,4,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[7,3,6,5,4,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,4,3,2,8,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,4,3,6,5,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[2,4,6,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[2,1,4,3,6,8,5,7]=>[1,4,2,3,6,8,5,7]=>[1,3,4,2,7,6,8,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,1,4,6,3,8,5,7]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,4,1,6,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,4,6,1,8,3,5,7]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,6,8,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,1,6,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,4,1,3,6,7,8,5]=>[1,3,6,7,8,2,4,5]=>[1,4,3,5,8,6,7,2]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]
[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]=>[1,4,7,3,8,6,2,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,1,4,3,7,5,8,6]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,1,3,7,5,8,6]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,4,3,7,8,5,6]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[2,4,7,1,3,8,5,6]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[2,4,7,8,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,4,1,5,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,1,4,5,7,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,4,5,7,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[2,1,4,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,4,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,4,1,5,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[2,1,4,5,8,3,6,7]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,4,1,5,3,6,8,7]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[2,4,1,5,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,3,6,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,5,6,8,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,5,1,6,7,3,4,8]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,5,1,6,7,3,8,4]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,1,5,6,7,8,3,4]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,5,6,1,7,8,3,4]=>[1,7,8,2,5,6,3,4]=>[1,5,4,8,6,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,5,7,3,8,4,6]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,5,7,1,8,3,4,6]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,5,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[2,3,5,6,1,7,8,4]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,6,3,7,4,8,5]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,1,3,7,4,8,5]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[2,6,7,1,3,4,8,5]=>[1,3,4,8,2,6,7,5]=>[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,1,6,7,8,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,6,7,8,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,1,6,3,7,4,5,8]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,3,1,6,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,3,6,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,1,3,6,7,8,4,5]=>[1,3,6,7,8,2,4,5]=>[1,4,3,5,8,6,7,2]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]
[2,3,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,1,6,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,1,6,8,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,6,1,8,4,5,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,1,6,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,6,1,4,5,8,7]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[2,3,4,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,6,1,3,4,5,7,8]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[2,3,4,6,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[2,3,4,6,7,8,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,1,7,8,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,7,8,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,3,1,7,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,4,7,1,8,5,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,7,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,3,4,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,5,7,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[2,3,4,5,7,8,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,8,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,3,8,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,3,4,5,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,5,8,1,6,7]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[2,3,4,5,6,8,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,4,2,6,5,8,7]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,4,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,1,4,6,8,2,5,7]=>[1,4,6,8,2,5,7,3]=>[1,5,8,4,7,6,3,2]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[3,4,6,8,1,2,5,7]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,4,6,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,1,4,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,4,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[3,4,6,1,2,7,8,5]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[3,4,6,7,1,2,8,5]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,1,4,2,7,5,8,6]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[3,4,7,8,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[3,4,5,7,1,2,8,6]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[3,1,4,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,4,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,1,5,8,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,1,4,2,5,6,7,8]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,1,4,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[3,4,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,4,5,6,7,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,5,6,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,5,1,2,6,8,4,7]=>[1,2,6,8,3,5,4,7]=>[1,2,5,7,4,6,8,3]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,5,6,8,1,2,4,7]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,5,6,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,5,6,1,7,2,8,4]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,5,6,1,7,8,2,4]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[3,5,6,7,8,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,5,2,7,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,7,2,8,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,5,1,7,2,8,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,3,2,5,8,4,6,7]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,3,5,2,6,7,4,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]=>[1,4,3,8,5,6,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[3,1,6,2,7,4,8,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,6,1,7,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[3,6,7,1,2,8,4,5]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[3,6,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[3,6,7,8,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,1,6,2,7,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,1,6,7,2,4,5,8]=>[1,6,7,2,4,5,8,3]=>[1,4,8,5,7,6,2,3]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,6,1,2,4,7,5,8]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,6,7,4,8,5]=>[1,2,6,7,3,4,8,5]=>[1,2,4,7,8,6,3,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,1,6,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,1,6,8,2,4,5,7]=>[1,6,8,2,4,5,7,3]=>[1,4,8,5,7,6,3,2]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,1,6,2,4,5,8,7]=>[1,6,2,4,5,8,3,7]=>[1,4,7,5,6,2,8,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,1,6,2,4,5,7,8]=>[1,6,2,4,5,7,8,3]=>[1,4,8,5,6,2,7,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,3,4,6,7,2,8,5]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,7,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,7,4,5,6,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,4,8,5,6,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,3,4,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[3,1,2,4,5,8,6,7]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,5,1,2,6,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,1,5,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,5,1,6,2,8,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,5,6,1,2,8,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,1,5,6,8,2,3,7]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[4,5,6,8,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,6,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,6,7,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,1,5,6,7,8,2,3]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,1,5,2,7,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,5,1,7,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,1,5,2,7,8,3,6]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,1,5,7,2,8,3,6]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,5,1,7,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,5,7,8,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,2,5,7,3,6,8]=>[1,2,5,7,3,6,8,4]=>[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,5,2,7,3,8,6]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,2,5,6,3,8,7]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,1,2,5,6,7,8,3]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[4,1,6,2,7,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,6,7,8,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,1,2,3,7,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,1,6,2,8,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[4,1,2,6,3,8,5,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,1,2,3,6,5,8,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,1,2,3,6,8,5,7]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,6,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,2,3,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[4,1,2,3,6,7,5,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,1,2,3,6,7,8,5]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[4,1,7,2,8,3,5,6]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,7,1,2,8,3,5,6]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[4,1,7,8,2,3,5,6]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,1,2,3,7,8,5,6]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[4,1,7,2,3,5,6,8]=>[1,7,2,3,5,6,8,4]=>[1,3,5,8,6,7,2,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,7,1,2,3,5,6,8]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,2,3,5,7,6,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,2,3,5,7,8,6]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,2,4,5,7,3,8,6]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,8,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,2,8,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,1,2,3,5,8,6,7]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,2,3,5,6,8,7]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,1,6,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,6,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,6,1,2,3,7,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,6,8,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,5,2,3,6,4,7,8]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[1,2,5,3,6,7,4,8]=>[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[5,1,2,3,6,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,5,2,3,6,7,8,4]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[5,7,8,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,2,7,3,4,8,6]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,7,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,5,2,3,7,4,6,8]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,2,8,3,4,6,7]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,5,8,2,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,1,2,3,8,4,6,7]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,1,2,3,4,6,8,7]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,7,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,1,2,3,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[6,1,7,2,3,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,2,7,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,1,2,3,4,7,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,8,5]=>[1,2,4,6,8,3,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,1,2,8,3,4,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[1,6,2,8,3,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,6,8,2,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,1,2,3,4,5,8,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,7,8,2,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,7,2,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,2,3,4,8,5,6]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,3,2,5,4,8,1,6]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,6,5,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,5,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,8,4,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,4,3,7,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,6,7,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,1,6,7,4,5,2]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,7,1,6,8,4,2,5]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[4,7,6,1,8,3,2,5]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,3,2,6,8,4,1,5]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,3,2,7,8,1,4,5]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,3,2,7,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,3,2,8,1,7,6,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,2,8,7,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,3,2,8,6,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,4,8,2,7,1,5,3]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,4,8,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,5,1,8,2,7,6,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[8,5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,7,1,8,6,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,8,7,5,4,1,3,2]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,1,4,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>[1,3,4,2,6,5,8,7,10,9]=>[.,[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]]
[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,6,5,4,3,8,7,2,1]=>[1,2,3,8,4,5,6,7,9,10]=>[1,2,3,5,6,7,8,4,9,10]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]]]
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,4,3,2,1,10,9,8,7]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,4,3,8,7,6,5,2,1]=>[1,2,3,8,4,5,6,7,9,10]=>[1,2,3,5,6,7,8,4,9,10]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]]]
[4,3,2,1,10,9,8,7,6,5]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>[1,2,5,4,6,8,7,3]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[7,3,5,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[6,2,8,1,3,4,5,7]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,2,6,7,1,3,4,8]=>[1,3,4,8,2,6,7,5]=>[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[5,3,6,7,1,2,4,8]=>[1,2,4,8,3,6,7,5]=>[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[6,2,5,7,1,3,4,8]=>[1,3,4,8,2,5,7,6]=>[1,5,3,4,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,3,5,7,1,2,4,8]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[4,2,6,8,1,3,5,7]=>[1,3,5,7,2,6,8,4]=>[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,6,8,1,2,5,7]=>[1,2,5,7,3,6,8,4]=>[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,2,4,8,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,5,8,1,2,4,7]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,2,7,8,1,4,5,6]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,8,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,8,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,8,2,7,1,4,5,6]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,8,3,7,1,2,5,6]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,3,7,1,2,4,6]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,8,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,8,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,3,2,7,1,4,6,8]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[4,3,2,8,1,5,6,7]=>[1,5,6,7,2,8,3,4]=>[1,7,4,8,5,6,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[6,4,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,5,4,8,1,2,3,7]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,4,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[8,4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,7,2,4,8,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,7,3,6,8,1,2,5]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,7,3,4,8,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,8,3,5,7,1,2,6]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[5,8,4,6,7,1,2,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[6,8,2,5,7,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,8,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,2,7,8,1,5,6]=>[1,5,6,2,7,8,3,4]=>[1,6,4,8,5,2,7,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,7,2,6,1,5,8]=>[1,5,8,2,6,3,7,4]=>[1,6,7,8,5,3,4,2]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[6,3,7,2,5,1,4,8]=>[1,4,8,2,5,3,7,6]=>[1,5,7,4,3,8,6,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[6,4,7,2,5,1,3,8]=>[1,3,8,2,5,4,7,6]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>[1,5,3,7,4,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,8,2,7,1,5,6]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,5,8,2,7,1,3,4]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,3,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[8,5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[8,7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,5,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,1,2,3,8,7,4,6]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,1,2,8,7,3,5,6]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[4,1,2,7,6,3,8,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[7,1,2,5,6,3,8,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[3,1,8,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[6,1,4,2,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,4,2,8,3,6,7]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[5,1,4,2,7,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,1,4,2,8,7,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,1,4,2,6,7,8,3]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,1,8,5,2,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,1,4,5,2,7,8,3]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[3,1,7,5,6,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,5,6,2,8,3]=>[1,4,5,6,2,8,3,7]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,1,4,5,8,7,2,6]=>[1,4,5,8,2,6,3,7]=>[1,6,7,4,5,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,8,5,6,7,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,4,1,8,6,3,5,7]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[7,3,1,2,4,5,8,6]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,8,1,2,3,7,4,6]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[8,6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,4,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[7,4,1,2,6,3,8,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,8,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[8,7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,1,2,6,3,8,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,4,1,2,6,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,1,5,2,8,3,7]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,1,7,6,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[8,4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,1,5,8,7,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[4,3,1,8,6,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,3,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,3,8,1,6,7,4,5]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,6,4,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,7,5,1,3,4,8,6]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[2,8,4,1,6,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,8,4,1,7,3,5,6]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,7,4,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,7,5,1,6,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,5,4,1,8,7,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[2,8,4,1,6,7,3,5]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,3,4,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[7,3,5,1,2,4,8,6]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,3,8,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,7,4,1,2,3,8,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,8,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[6,7,5,1,2,3,8,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,8,4,1,2,7,3,5]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,8,5,1,2,7,3,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,4,1,2,7,8,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[7,8,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,5,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,5,4,1,6,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,3,4,1,8,7,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[5,3,4,1,6,7,8,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,4,8,1,7,5,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,8,5,1,7,4,6]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,3,8,6,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,4,6,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,7,4,8,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,7,4,6,1,3,8,5]=>[1,3,8,2,7,4,6,5]=>[1,7,3,6,8,5,4,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[2,7,8,5,1,3,4,6]=>[1,3,4,6,2,7,8,5]=>[1,6,3,4,8,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,8,6,1,3,4,5]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[2,7,6,5,1,3,8,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[2,6,4,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[2,8,4,5,1,7,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,8,6,5,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[7,3,8,5,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,3,8,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[7,6,4,5,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,3,4,5,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,4,5,1,7,8,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,4,8,6,1,5,7]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,7,6,1,8,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,3,8,5,6,1,4,7]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,8,5,7,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,3,8,7,6,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[2,3,7,5,6,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[2,8,4,5,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,7,5,6,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[2,7,4,5,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,3,4,5,6,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,5,8,7,1,6]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,3,8,5,6,7,1,4]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,8,4,5,6,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,1,2,3,4,5,6,9,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[9,1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7,9]=>[1,2,3,4,5,7,8,6,9]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[7,1,2,3,4,5,8,9,6]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,7,9,8,6]=>[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]
[8,1,2,3,9,4,5,6,7]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[3,1,4,5,6,7,8,9,2]=>[1,4,5,6,7,8,9,2,3]=>[1,3,9,4,5,6,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7,9]=>[1,2,3,5,6,7,8,4,9]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]]
[2,3,4,5,6,7,9,1,8]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,5,2,7,4,8,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,5,7,3,2,8,6,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,5,7,1,3,8,2,6]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,5,1,7,4,8,2,6]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,1,5,7,4,8,3,6]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[2,1,5,7,4,8,6,3]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,7,1,3,8,6,2]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,6,7,3,8,5,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[4,6,7,3,8,5,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,6,2,7,8,4,1,5]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,6,2,7,8,1,4,5]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[3,5,2,7,1,8,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[3,5,2,7,1,8,6,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,6,2,7,8,1,5,4]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,6,2,7,8,5,1,4]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[4,6,7,2,8,5,3,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[4,6,7,2,8,5,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,5,7,1,2,8,6,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,5,7,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,6,1,7,8,5,2,4]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[4,5,6,3,2,1,9,10,8,7]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[2,6,7,4,5,1,8,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[1,6,7,4,5,2,3,8]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,5,4,7,6,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,5,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,8,3,7,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,3,4,8,6,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[4,3,5,6,8,7,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[4,2,5,6,8,1,7,3]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,4,8,6,1,7,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,2,4,5,1,6,3]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[6,1,8,4,5,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,1,3,2,8,6,5,7]=>[1,3,2,8,4,5,7,6]=>[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[6,1,8,3,2,5,4,7]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,8,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,3,8,1,6,7,4]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,5,3,7,1,6,8,4]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,7,3,2,5,4,8]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,6,7,3,1,5,8,4]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,4,1,8,7,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,8,3,1,2,6,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,1,8,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,2,1,3,8,5,7,6]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[5,2,1,8,3,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,3,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,6,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,6,5,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,5,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[3,7,1,5,2,8,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[2,1,7,5,3,8,4,6]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,5,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,4,7,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[6,4,7,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[3,5,1,8,2,7,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,1,6,8,7,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,7,8,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,8,1,7,6,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,4,7,5,3,8,2,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[6,4,7,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,4,7,2,5,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[5,4,2,7,6,1,3,8]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[6,4,8,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[5,4,2,6,7,1,8,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[5,4,2,6,7,1,3,8]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,4,2,5,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,4,2,5,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,3,2,8,1,6,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,3,2,7,1,6,4,8]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,7,2,1,8,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,8,7,2,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[6,3,7,2,1,8,4,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,3,7,2,1,4,5,8]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]
[5,4,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,8,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,3,8,2,1,4,7,5]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,1,4,6,2,5,3]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[6,1,8,4,7,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,6,8,4,7,2,5,3]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,1,2,6,5,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,2,1,3,6,5,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,1,8,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,6,8,2,3,7,5,4]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[5,2,1,8,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[3,6,8,4,7,5,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[2,6,8,4,7,1,5,3]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,5,1,8,3,7,6,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,5,3,8,1,7,6,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[2,5,4,8,7,1,6,3]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,4,2,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,3,8,1,2,7,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,1,3,8,2,7,6,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[1,5,3,8,2,7,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,5,8,7,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,1,5,8,7,2,6,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,4,5,8,7,2,6,3]=>[1,4,5,8,2,6,3,7]=>[1,6,7,4,5,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,6,8,7,4,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,2,5,8,1,7,6,4]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,5,8,7,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[2,4,5,8,7,1,6,3]=>[1,6,2,4,5,8,3,7]=>[1,4,7,5,6,2,8,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,1,6,2,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,2,7,1,4,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,8,1,4,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,2,8,1,4,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,2,7,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,1,8,3,5,4,7,6]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[3,1,8,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,1,8,2,5,3,7,6]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,2,7,1,5,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,1,5,2,7,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,4,2,7,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,2,6,4,8,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,1,3,2,7,4,8,5]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,1,3,2,7,5,8,6]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,4,3,8,5,7,6]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,1,3,2,8,5,7,6]=>[1,3,2,8,4,5,7,6]=>[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[5,1,3,2,8,4,7,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[6,1,3,2,8,4,7,5]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,8,1,3,2,6,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,1,4,2,8,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,1,5,2,8,3,7,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[3,1,6,2,8,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,1,5,2,8,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,7,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,7,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,4,2,5,8,3,1,6]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,5,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[4,1,5,6,3,8,2,7]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,4,5,3,8,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,7,1,5,8,3,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,3,7,8,1,4,2,6]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,5,8,2,4,6,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,1,6,7,3,8,4,2]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,4,7,1,8,3,5,2]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,6,2,7,3,8,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,5,8,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,5,3,4,6,2,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,3,1,8,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,6,7,2,8,4,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[3,6,7,2,8,4,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[5,7,3,8,2,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,7,8,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[3,4,7,8,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,6,7,2,8,5,1,4]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[3,6,7,8,5,2,1,4]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,6,7,8,5,2,4,1]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[6,4,7,8,2,5,3,1]=>[1,2,5,3,4,7,8,6]=>[1,2,4,5,3,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[6,4,7,8,2,1,5,3]=>[1,5,2,3,4,7,8,6]=>[1,3,4,5,2,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,1,5,7,8,2,6,3]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[6,7,2,8,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,7,1,8,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,5,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,2,4,5,8,3,6,1]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,3,7,2,1,8,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[7,4,5,8,3,2,6,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,3,6,7,2,8,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[4,3,6,7,2,8,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[1,4,3,6,7,2,8,5]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,3,6,7,8,1,5,2]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,6,4,7,8,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,6,7,1,4,8,5,2]=>[1,4,8,2,3,6,7,5]=>[1,3,6,4,8,7,5,2]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[6,2,4,1,7,8,5,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,5,3,6,7,8,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,5,6,7,8,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,7,1,3,8,4,6]=>[1,3,8,2,7,4,6,5]=>[1,7,3,6,8,5,4,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[4,2,6,7,8,3,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,4,8,2,6,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[3,6,2,7,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,7,3,4,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,4,2,1,3,6,5]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,4,7,8,5,2,3,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[2,6,4,7,8,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[7,4,1,5,8,6,2,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[7,5,8,2,1,6,3,4]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,2,7,1,3,8,5,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[5,1,2,6,7,8,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[5,2,6,7,8,4,3,1]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,8,3,4]=>[1,5,4,8,2,6,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,6,7,1,3,8,5,4]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,3,8,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,4,7,8,5,3,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[4,5,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,6,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,2,6,7,4,5,1,8]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[4,7,2,6,5,3,1,8]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,7,6,2,4,3,1,8]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,8,6,2,4,1,3,7]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,8,2,6,5,1,3,7]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,1,5,4,2,8,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,8,6,7,4,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[7,1,6,8,4,2,5,3]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,1,7,8,2,4,5,3]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,2,8,7,1,5,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,8,2,7,1,5,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,7,2,1,4,3,6]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,8,7,1,2,4,3,5]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,8,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,7,6,8,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[8,6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,8,1,3,2,4,5]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,5,8,3,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,4,3,7,8,5,6,2]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[8,4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,2,5,4,8,1,6,7]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[6,5,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[3,2,7,1,8,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,6,8,7,3,5,4,2]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,7,8,6,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[8,7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,1,6,5,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,8,1,2,7,6,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,1,8,7,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[7,1,8,6,5,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,2,6,5,8,7,4]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,6,1,2,3,8,7,5]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,7,5,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,7,6,8,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,1,2,8,3,6,5]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[1,4,3,8,7,5,6,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,8,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[4,8,1,2,7,3,6,5]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[5,1,8,2,7,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[1,6,8,7,3,4,5,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,8,7,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[7,8,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[3,2,5,1,6,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,2,5,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,2,5,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,2,5,3,7,1,8,6]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,2,5,3,6,1,8,7]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,2,5,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[3,1,5,4,6,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,3,5,1,6,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,3,6,1,7,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,5,4,7,6,8,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,1,5,3,7,6,8,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,5,1,7,6,8,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,6,1,7,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,3,6,4,7,2,8,1]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[5,1,6,3,7,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,1,6,3,7,5,8,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,1,6,4,7,5,8,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,6,4,7,5,8,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,1,6,4,7,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,1,6,3,7,2,8,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,3,6,1,7,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[5,3,6,2,7,4,8,1]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[5,2,6,3,7,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,6,3,7,1,8,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,2,5,1,7,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,2,6,3,7,1,8,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,2,4,1,7,5,8,6]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,1,4,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,2,6,5,7,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,5,7,3,8,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,2,6,5,7,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,2,5,1,7,6,8,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,1,5,2,7,6,8,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,5,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,6,3,7,5,8,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,1,6,2,7,5,8,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,1,6,2,7,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,1,6,2,7,4,8,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,2,6,4,7,3,8,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,4,6,2,7,1,8,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[5,1,6,4,7,2,8,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,5,7,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,1,6,5,7,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,1,6,5,7,4,8,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,4,6,1,7,3,8,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,5,2,4,1,8,6]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,7,4,3,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[8,5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,4,6,7,3,2,8,5]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,4,7,3,1,8,2,6]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,7,4,5,3,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,7,5,1,4,2,8,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,7,4,2,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[8,5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[3,6,5,8,7,4,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[3,1,5,8,6,7,4,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[3,6,4,1,8,7,5,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,7,6,8,1,4,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,1,6,4,8,2,5]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,7,3,5,6,8,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,3,6,7,5,8,2,4]=>[1,3,6,7,2,4,5,8]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,7,6,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,8,5,7,2,4,1]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[2,3,5,7,6,8,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,7,6,8,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,6,8,7,3,5,1]=>[1,2,6,8,3,5,4,7]=>[1,2,5,7,4,6,8,3]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[3,8,2,4,6,7,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[3,7,2,6,4,8,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,4,8,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[8,5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,7,8,5,6,4,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[8,2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,7,2,5,8,6,4,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,7,8,6,1,3,5,4]=>[1,3,5,2,7,8,4,6]=>[1,5,3,6,2,8,7,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[8,7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[8,1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,7,4,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,1,8,7,5,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,1,6,8,5,7,3,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,6,1,4,5,8,3,2]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,5,8,4,7,6,1,3]=>[1,3,2,5,8,4,7,6]=>[1,3,2,7,5,8,6,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,8,4,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,1,5,8,4,6,7,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,1,4,8,3,6,7,5]=>[1,4,8,2,3,6,7,5]=>[1,3,6,4,8,7,5,2]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,8,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[3,8,2,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,8,1,3,5,6,7,4]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,8,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[5,6,3,8,4,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,3,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[7,5,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[8,6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,8,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,5,3,8,6,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,5,8,4,7,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[5,8,2,4,7,6,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,7,6,4,5,8,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,1,6,4,5,8,2,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,7,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,1,7,6,5,8,3,4]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,8,4,1,5,6,7,3]=>[1,5,6,7,2,8,3,4]=>[1,7,4,8,5,6,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,4,1,8,5,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,2,4,8,6,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,3,7,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,7,2,4,5,8,3,1]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[5,1,7,4,8,6,3,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[3,7,5,4,8,6,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,2,5,1,6,8,4,7]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,6,2,5,4,8,1,7]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,8,2,4,7,6,1]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,2,5,8,3,7,6,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,4,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[4,6,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,1,6,4,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,4,3,8,2,7,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,3,7,6,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,3,1,7,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,8,5,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,4,5,8,7,3,6,2]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,5,4,8,7,3,6,2]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,4,3,8,1,7,5,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,7,1,8,6,5,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,8,3,7,6,5,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,3,8,7,6,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,6,5,3,7,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,2,8,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,6,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,3,1,6,8,4,2,5]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,7,1,6,3,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,1,7,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,3,2,8,7,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,2,6,3,8,7,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,2,7,6,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,7,2,6,3,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,3,6,2,4,1,8,5]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,6,7,2,1,4,8,5]=>[1,4,8,2,3,6,7,5]=>[1,3,6,4,8,7,5,2]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[1,3,6,8,5,2,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[8,3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[3,8,2,5,7,1,6,4]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,3,6,2,1,5,4]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,8,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,8,1,5,7,2,6,3]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,8,2,7,6,4,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,2,8,7,5,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,1,7,2,8,5,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,1,8,2,6,4,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,7,1,8,6,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[7,8,3,1,6,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[7,4,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[8,4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,7,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,8,6,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,8,2,6,3,1,5,7]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,8,5,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[7,1,6,8,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,2,8,7,1,4,5,6]=>[1,4,5,6,2,8,3,7]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,8,7,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,5,3,4,6,2,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,7,6,8,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,8,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[8,4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[8,5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,8,7,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,1,8,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[4,3,5,6,1,2,8,7]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[8,3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,7,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,2,7,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,6,1,5,4,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,1,8,5,7,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,8,6,5,7,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[7,5,4,8,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,1,4,6,8,2,7,3]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[2,5,4,6,7,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,4,6,3,7,5,8,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,4,2,8,6,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,4,1,3,5,8,6,2]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,5,8,4,1,7,3,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,7,4,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[8,3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,3,8,1,6,7,5,4]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,3,7,2,6,8,5,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[4,7,2,3,8,5,6,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[3,8,2,1,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,1,3,6,5,7,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,8,6,7,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[5,3,8,7,4,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[8,3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,6,1,8,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,6,5,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[8,1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[7,1,4,2,5,6,8,3]=>[1,4,2,5,6,8,3,7]=>[1,4,7,2,5,6,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,7,4,1,6,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,4,2,1,5,8,7,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,3,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,1,4,5,6,8,7,2]=>[1,4,5,6,8,2,3,7]=>[1,3,7,4,5,6,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,5,2,1,4,3,8,7]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,5,2,7,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,7,5,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[3,1,6,5,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,3,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,7,2,3,4,8,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,1,7,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,5,7,3,8,6,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,6,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[5,6,3,7,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[3,8,7,4,1,2,6,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,8,1,3,5,2,6,4]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,8,7,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,8,4,2,5,7,1,6]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,8,3,5,2,7,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,5,3,2,8,7,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,5,2,4,8,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,4,2,8,5,7,6,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[2,4,1,8,7,6,5,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,3,1,8,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,1,6,5,4,8,2,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,6,2,1,8,7,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,6,2,5,8,3,7,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,1,2,3,6,8,7,5]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[2,4,3,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,6,2,8,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[7,1,8,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,7,3,8,1,4,6,2]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[6,5,3,8,4,1,2,7]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[7,5,8,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[2,4,8,3,5,6,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[2,3,8,1,4,6,7,5]=>[1,4,6,7,2,3,8,5]=>[1,3,7,4,8,6,2,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,3,8,2,5,1,7,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[6,3,8,4,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,4,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[6,8,2,4,3,5,1,7]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,8,2,1,4,6,5,7]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,8,1,3,4,5,7,6]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,5,3,6,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[2,8,5,3,4,7,1,6]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,5,3,4,6,7,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,7,2,4,1,8,6]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,5,7,2,4,6,8,1]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,5,2,7,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,1,6,7,4,3,8,2]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[5,1,6,8,7,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,5,2,8,3,7,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,1,2,8,4,5,7,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[5,6,8,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,8,2,4,3,1,7]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,5,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,1,6,8,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,7,8,6,3,4,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[3,5,6,2,4,8,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[3,6,5,2,8,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,1,2,5,8,4,7,3]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[7,1,6,5,8,3,4,2]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,5,2,6,3,8,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[4,5,2,7,3,8,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,2,5,6,8,7,3]=>[1,2,5,6,8,3,4,7]=>[1,2,4,7,5,6,8,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,4,2,1,5,3,6]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,3,5,4,2,1,6]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,2,1,5,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,2,5,6,4,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,2,1,7,5,4,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,3,7,1,6,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,3,1,8,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,4,3,7,5,8,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,4,7,1,5,3,6,8]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,3,7,6,4,2,8,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,2,8,6,4,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[3,8,1,7,6,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,8,5,7,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,7,5,8,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,6,7,5,2,1,3,8]=>[1,3,8,2,4,6,7,5]=>[1,4,3,6,8,7,5,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,6,5,8,3,2,7,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,7,5,6,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,1,4,2,3,8,6]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,4,2,7,6,8,3]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,2,4,7,8,3,5]=>[1,6,2,4,7,8,3,5]=>[1,4,5,6,8,2,7,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,7,2,4,1,6,3,8]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,1,4,2,8,5,3,7]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,1,7,2,6,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,8,2,1,5,6,3,7]=>[1,5,6,2,3,7,4,8]=>[1,3,6,7,5,2,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,1,7,4,5,6,8,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,3,7,5,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,8,6,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,8,1,2,5,3,7,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,8,6,5,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,8,5,6,1,4,7,2]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,2,8,7,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,6,7,8,5,1,4,2]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,7,6,8,5,2,1,4]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,8,5,1,2,4,6]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,7,1,6,4,2,5,8]=>[1,6,2,5,8,3,7,4]=>[1,5,7,8,6,2,4,3]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,1,8,6,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[4,7,8,6,3,5,1,2]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,1,7,6,5,3,4,8]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,8,1,6,4,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,7,5,1,4,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,8,6,7,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[2,7,8,6,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[6,3,1,2,7,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,4,2,7,1,3,8,5]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[7,5,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[8,5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[3,6,2,7,1,4,8,5]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[5,3,6,7,1,2,8,4]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[6,3,7,4,1,2,8,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[8,6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[3,7,6,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,5,7,4,3,8,6,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,4,7,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[7,4,8,5,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,8,6,2,4,7,1,5]=>[1,5,2,4,7,3,8,6]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,8,4,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[6,8,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[3,8,5,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,8,6,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[2,7,6,4,8,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,6,5,8,1,2,4,7]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[5,4,6,7,2,8,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[4,6,3,7,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[5,4,7,3,8,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[8,4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,5,3,7,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,3,7,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,5,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,4,7,8,2,5,1,3]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[4,3,8,7,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[5,3,8,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,4,8,7,1,2,3,6]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[2,5,8,7,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,5,3,4,6,2,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,6,8,2,7,1,3,5]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,7,1,8,6,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[6,8,4,7,5,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,8,7,1,6,2,3,4]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,8,7,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,8,7,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,7,1,4,5,8,2,3]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[2,3,4,5,6,8,9,1,7]=>[1,7,2,3,4,5,6,8,9]=>[1,3,4,5,6,7,2,8,9]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]]
[2,3,4,6,7,8,9,1,5]=>[1,5,2,3,4,6,7,8,9]=>[1,3,4,5,2,6,7,8,9]=>[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]
[2,3,5,6,7,8,9,1,4]=>[1,4,2,3,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,5,6,7,8,9,1,3]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,3,4,5,6,7,8,9,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[2,3,4,5,6,7,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[2,3,4,5,6,7,8,10,1,9]=>[1,9,2,3,4,5,6,7,8,10]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[2,3,4,5,6,1,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[2,3,4,5,1,8,9,6,7]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[2,3,5,6,7,8,9,10,1,4]=>[1,4,2,3,5,6,7,8,9,10]=>[1,3,4,2,5,6,7,8,9,10]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,5,6,7,8,9,2,3]=>[1,4,5,6,7,8,9,2,3]=>[1,3,9,4,5,6,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]]
[2,4,5,6,7,8,9,10,1,3]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,5,3,6,2,4,8,1]=>[1,2,4,8,3,6,5,7]=>[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[6,3,2,5,1,8,4,7]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[8,5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,2,6,3,4,5,8,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,2,5,7,3,6,8,1]=>[1,2,5,7,3,6,8,4]=>[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[7,5,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,4,8,6,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,8,3,5,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,8,6,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,4,7,5,3,8,2,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,8,1,5,7,2,3,6]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[4,1,7,5,8,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,2,1,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,4,1,3,6,8,2,7]=>[1,3,6,8,2,7,4,5]=>[1,7,3,5,8,6,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,5,1,6,8,2,7]=>[1,6,8,2,7,3,5,4]=>[1,7,5,8,4,6,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[5,4,6,3,8,7,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[5,3,1,8,7,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[8,5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[6,3,8,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,4,7,5,3,8,2,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[7,6,8,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,4,7,8,2,6,1,3]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,7,8,1,6,2,4,5]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,3,8,7,1,4,5,6]=>[1,4,5,6,2,3,8,7]=>[1,3,6,4,5,2,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,2,8,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,7,8,3,6,2,4,5]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,8,3,7,5,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,5,8,3,6,2,4,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,1,3,2,5,6,8]=>[1,3,2,5,6,8,4,7]=>[1,3,2,7,5,6,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[6,4,3,8,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[7,5,1,3,6,2,8,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,4,8,3,2,5,1,6]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,4,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,5,3,8,7,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,4,3,1,2,8,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,4,3,8,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[6,5,3,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[7,5,8,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,5,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,5,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,3,7,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,3,7,1,2,8,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,5,3,7,8,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,6,2,1,3,4,8,7]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,3,7,8,2,1,4,6]=>[1,4,6,2,3,7,8,5]=>[1,3,6,4,8,2,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,1,7,8,4,3,5,6]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[8,3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4,8]=>[1,3,6,7,5,2,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,1,2,5,4,6,3]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,8,7,4,2,1,6,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,5,1,6,8,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,4,7,1,8,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,8,2,4,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,8,2,5,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,8,2,6,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,8,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,7,2,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,4,2,8,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,8,2,6,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[1,8,2,5,3,6,4,7]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,8,2,4,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,2,4,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[1,8,2,5,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,8,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[1,4,2,8,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,5,2,8,3,7,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,6,2,8,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,7,2,8,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,6,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,6,3,8,5,1,7,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,6,8,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,6,8,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,2,7,5,3,1,8]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[5,6,7,2,4,3,1,8]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,8,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,7,8,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,8,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,8,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,6,8,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,8,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,6,8,2,4,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,8,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,7,8,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,8,4,1,2,6,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,8,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,8,1,3,5,2,4]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,8,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,7,2,8,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,7,2,8,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,7,8,1,3,5,4,2]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,3,4,5,2]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,2,7,8,1,5,6,4]=>[1,5,6,2,7,8,3,4]=>[1,6,4,8,5,2,7,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,6,8,3,2,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,8,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,6,3,8,2,1,7,5]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,7,3,8,1,2,6,5]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,7,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[5,7,8,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,8,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,2,5,3,4]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,1,2,5,4,3]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,8,1,2,4,5,3]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,8,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,2,7,8,1,4,6,5]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,3,7,5,2,6,4,8]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[7,2,8,5,4,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,5,4,3,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,3,7,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,4,3,5,6,1,7]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,8,5,2,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,4,8,5,1,3,7,2]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,7,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,3,7,5,1,2,8,6]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,3,7,1,5,6,8,2]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[3,6,1,7,5,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,4,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,5,7,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[6,5,2,7,4,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,3,1,8,6,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[5,6,1,8,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,5,8,2,7,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,8,4,2,3,7,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,2,5,8,3,7,1,4]=>[1,4,2,5,8,3,7,6]=>[1,4,7,2,5,8,6,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[1,6,5,7,3,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,6,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,3,4,8,6,1,7,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,8,6,5,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,7,3,5,8,6,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,2,4,7,8,6,1,5]=>[1,5,2,4,7,8,3,6]=>[1,4,6,5,2,8,7,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,5,4,6,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,2,4,7,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[5,3,6,4,1,8,7,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,3,6,1,4,8,2,7]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[6,3,5,1,8,2,7,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,6,1,5,8,4,7,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[2,7,6,5,8,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,2,4,1,7,8,5,6]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[3,1,4,2,7,8,6,5]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[3,6,4,7,8,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[6,3,4,5,7,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,3,4,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[7,4,3,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,6,3,2,5,4,1,8]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,8,3,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,8,4,5,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,3,6,1,5,4,2,8]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,4,6,5,1,3,2,8]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,8,5,4,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,6,4,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[6,5,7,4,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,4,7,5,1,3,8,2]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[6,3,7,1,5,4,8,2]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,1,7,5,4,8,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,4,8,5,1,3,7,6]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,5,8,4,3,1,7,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,6,8,4,3,7,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[1,8,7,4,3,6,5,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,7,8,5,6,3,4,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,5,8,6,7,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[2,4,8,6,1,7,3,5]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,2,1,7,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,7,1,6,8,4,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,5,8,3,1,2]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[1,8,6,5,7,3,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,7,5,6,8,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[4,6,5,7,8,2,1,3]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,6,1,7,8,2,4]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,2,1,5,7,3,8,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,4,5,7,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[6,5,4,7,2,1,8,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[5,6,4,7,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[1,8,4,6,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,8,3,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[5,6,3,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,2,1,4,3,7,8,5]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,2,1,4,3,8,7,6]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[5,3,4,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,6,3,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,8,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,4,8,2,1,7,6]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,3,5,1,8,2,7,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,2,1,6,8,7,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,3,6,1,8,7,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,5,6,8,7,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,6,5,8,7,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,7,5,8,6,2,4,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,8,5,7,6,2,4,3]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,6,7,8,5,4,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,3,1,7,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,6,2,1,7,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,5,2,1,6,8,4,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,4,6,5,7,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,8,4,1,7,5,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[1,8,4,2,6,7,5,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,2,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,7,1,6,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,8,2,6,5,7,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,6,1,2,7,5,8,3]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[5,3,1,2,7,6,8,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,3,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,5,1,2,7,6,8,4]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,7,1,5,8,2,3,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,1,6,8,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[8,4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[5,2,3,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,7,6,2,5,8,3,4]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,2,1,5,8,3,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,1,6,4,8,2,5,3]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[8,2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,1,5,2,7,4,8,3]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,8,3,5,7,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,1,3,7,6,8,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,5,7,6,4,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,1,4,2,7,5,8,3]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,2,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,5,1,3,7,6,8,4]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[8,3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[3,1,2,4,7,6,8,5]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,5,6,9,1,2,3,4]=>[1,2,3,4,5,6,9,7,8,10]=>[1,2,3,4,5,6,8,9,7,10]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]
[9,8,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[9,7,10,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]]
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,3,4,5,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[2,6,3,8,4,5,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,3,2,1,4,5,8,7]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[4,7,8,5,6,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[3,7,8,5,6,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[3,7,8,2,4,5,1,6]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[3,6,2,8,4,5,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[3,5,2,4,8,6,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,6,5,8,7,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,4,5,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,2,4,1,3,7,5,8]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,5,2,1,8,3,4,7]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[2,4,6,7,3,8,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[4,2,6,7,3,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,6,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,2,5,3,7,1,6,8]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,4,2,5,6,8,1,7]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,7,8,6,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,8,7,1,5,3,2,4]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[6,8,7,3,5,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,1,3,6,5,2,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,7,3,4,8,6,5,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,2,7,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,6,8,3,7,4,5,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,2,4,8,1,7,5,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,8,7,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,7,5,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[8,2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,6,8,4,3,7,5,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,8,1,3,7,2,5,4]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,6,4,8,3,7,5,2]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,8,5,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[8,5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,8,5,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,5,6,2,1,8,7,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,5,2,7,4,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,4,2,7,5,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,5,3,2,7,6,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,2,1,8,7,6,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,5,7,1,6,8,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,5,1,2,8,4,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,4,1,2,8,5,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,3,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[6,1,2,5,8,3,4,7]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[7,1,3,4,8,2,5,6]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,6,1,5,7,8,3,4]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[7,4,1,6,8,5,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,2,1,6,8,7,4]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,6,2,5,7,3,4,8]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,2,1,5,8,7,3,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,2,4,1,8,5,7,3]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,2,5,1,8,4,7,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,6,2,4,7,3,5,8]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,1,3,8,5,2,6]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[7,5,1,3,8,4,2,6]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[4,2,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,1,2,4,8,3,5,7]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,4,1,8,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,3,5,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,2,4,1,6,3,8,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,2,8,5,7,3,4,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[3,1,8,5,7,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,1,8,5,7,4,6,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,1,7,4,6,3,8,5]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,1,7,3,6,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,1,7,3,6,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,2,7,3,5,1,8,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[8,4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,6,2,5,1,8,4]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[6,2,5,1,7,3,8,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,4,6,2,3,1,8,5]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[6,2,3,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,2,3,1,7,4,8,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,2,3,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[8,5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[8,5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,2,4,1,8,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,1,6,2,8,4,7,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[6,2,7,3,8,4,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,1,8,4,6,2,7,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,1,8,5,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[2,1,7,4,8,5,6,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,1,7,4,8,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,1,3,6,2,5,4]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,3,8,4,7,2,5,6]=>[1,3,8,2,5,6,4,7]=>[1,5,3,7,6,4,8,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[4,6,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,3,5,6,4,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,5,1,4,2,6,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,8,4,5,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,5,8,4,3,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,6,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,5,8,4,7,6,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,6,2,5,3,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[4,7,5,1,3,6,8,2]=>[1,3,6,8,2,4,7,5]=>[1,4,3,7,8,6,5,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[7,5,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[5,7,3,6,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[6,1,7,5,2,4,8,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,3,1,2,4,5,8,7]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,7,6,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,7,6,8,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,7,5,6,8,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,6,8,4,5,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[2,7,1,8,5,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,2,8,4,5,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,4,2,8,6,1,7,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,4,7,1,5,2,6,8]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,3,7,8,1,2,6,5]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,7,8,6,1,3,4,2]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[7,6,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[1,6,4,3,8,2,5,7]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[2,4,5,1,7,8,6,3]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[2,6,3,4,5,8,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,6,4,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[7,3,6,4,8,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,5,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,6,7,4,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,7,6,4,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,7,1,5,2,8,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,5,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,1,5,3,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,6,1,5,3,2,8,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,5,6,4,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,7,5,4,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,6,1,2,5,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,6,4,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[1,6,3,7,5,4,2,8]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,8,1,3,7,5,4,2]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,3,1,6,4,5,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,4,2,6,5,1,3,8]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,2,4,1,5,3,6,8]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[7,2,3,5,4,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,8,1,2,3,4,7,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,8,2,3,7,6,4,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,2,8,1,3,7,4,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,8,2,3,5,4,7,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,8,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,5,3,6,8,4,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,4,7,6,8,5,1,3]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[2,5,3,7,6,1,8,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[3,5,7,4,1,6,2,8]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,3,4,1,8,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,2,1,8,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,2,8,6,5,3,7,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,2,8,5,7,6,3,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[1,4,2,7,5,8,6,3]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,8,6,7,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[5,8,4,7,6,2,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[5,8,7,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,3,7,1,6,4,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,1,3,8,6,7,2,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,7,6,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,8,7,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,8,5,2,4,3,7,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[6,8,5,3,1,2,7,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,5,1,2,7,6,3,8]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[3,5,7,1,2,8,6,4]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[3,6,2,7,5,1,4,8]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[4,6,3,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[4,5,3,1,7,6,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,5,7,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[3,4,6,5,8,7,1,2]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[3,1,4,5,8,6,7,2]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[3,5,6,2,8,4,7,1]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[4,5,3,1,6,8,7,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,1,7,5,8,6,4,3]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,7,5,3,8,6,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,4,1,7,5,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,1,3,7,5,2,4,8]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,2,6,8,5,4,7]=>[1,2,6,8,3,4,7,5]=>[1,2,4,7,8,6,5,3]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]
[3,7,1,2,5,4,8,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,1,7,8,6,5,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[3,4,7,5,1,8,6,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,7,4,1,5,8,6,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,8,6,4,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,7,4,5,1,8,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[2,6,3,7,5,8,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,7,3,6,8,1,4]=>[1,4,2,7,3,6,8,5]=>[1,4,6,2,8,7,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,7,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[5,7,3,4,6,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[5,3,8,4,6,1,7,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,2,8,3,6,7,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,4,8,1,7,3,5,6]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,2,8,4,7,1,6,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,8,5,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,3,7,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,3,2,7,8,5,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,7,2,5,8,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,8,2,4,6,7,1,5]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,5,6,8,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,5,6,8,1,7,3]=>[1,7,2,4,5,6,8,3]=>[1,4,8,5,6,7,2,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,8,3,5,6,1,7,2]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[5,6,2,3,7,8,1,4]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,8,7,3,4,1,2,6]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,4,7,2,5,3,1]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,8,3,7,5,1,2,6]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,8,4,7,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,5,8,7,6,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,5,8,7,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,5,8,7,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,8,1,7,6,4,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,5,8,7,1,6,3,4]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,8,4,7,2,5,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[1,5,8,7,2,6,3,4]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,3,8,2,7,6,4,5]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[1,8,3,2,7,5,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,8,2,1,7,5,4,6]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,3,8,2,7,6,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,8,3,2,7,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,8,3,1,7,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,2,1,7,5,4,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[8,5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[5,8,7,1,2,4,3,6]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,8,1,2,7,5,4,3]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[5,1,8,3,7,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,1,8,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,8,1,7,2,5,3,6]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,1,8,3,7,6,4,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,2,8,3,7,6,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[3,1,6,2,5,8,4,7]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,4,5,2,8,3,7,6]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,1,6,5,8,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,6,4,2,5,8,3,7]=>[1,6,2,5,8,3,7,4]=>[1,5,7,8,6,2,4,3]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,6,5,4,8,3,7]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,4,2,8,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,8,6,5,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,5,2,8,6,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,2,7,6,5,3,8,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[1,2,6,5,3,8,7,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,5,2,7,6,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,5,7,4,2,8,3,6]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,1,2,8,6,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>[1,5,7,8,6,3,4,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[8,3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,1,8,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[1,8,7,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,7,4,2,8,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[8,1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,4,8,5,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[8,6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,4,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,2,8,5,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,2,6,3,8,7,5,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[1,2,7,6,3,8,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,7,2,8,5,3,6,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,2,8,6,3,7,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,2,7,3,8,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,7,3,6,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,1,8,7,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,8,6,2,4,1,3]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[5,7,1,6,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,4,1,5,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]=>[1,3,5,4,2,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,4,5,3,8,7,2]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[5,1,7,8,6,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,1,4,5,3,8,6,2]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,4,8,6,3,1,7,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,4,1,8,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[5,8,1,6,2,4,3,7]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,5,8,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[2,3,8,5,1,4,7,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,7,6,5,1,3,4,8]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[2,7,6,8,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,7,6,5,8,3,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,6,1,3,8,5,7,4]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,7,6,1,4,3,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[2,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[2,1,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[9,1,2,3,4,5,6,7,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,9,7]=>[1,3,4,5,6,8,9,2,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,1,2,3,4,5,6,9,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[2,1,9,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[2,8,1,3,4,5,6,7,9]=>[1,3,4,5,6,7,9,2,8]=>[1,8,3,4,5,6,7,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[8,4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,6,5,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,8,6,5,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,5,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,5,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,6,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,8,6,5,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,1,7,6,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,3,7,6,2,5,8]=>[1,3,7,2,5,8,4,6]=>[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,1,7,5,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,1,6,5,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,2,7,6,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[7,1,8,2,6,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[5,1,8,3,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,1,3,8,2,7,5,6]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[3,2,1,8,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,2,8,7,1,6,5,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,8,2,7,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,8,7,2,1,6,4,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,8,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,8,7,2,6,5,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,7,8,2,5,6,3,4]=>[1,7,8,2,5,6,3,4]=>[1,5,4,8,6,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[7,6,8,1,4,3,5,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,5,8,3,2,1,7,4]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,6,8,4,2,7,3,5]=>[1,6,8,2,7,3,5,4]=>[1,7,5,8,4,6,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,5,4,8,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,4,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[7,4,3,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[8,4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[1,5,4,2,3,6,7,8]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,1,4,2,6,3,8]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,5,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,6,1,3,4,2,7,8]=>[1,3,4,2,7,8,5,6]=>[1,4,3,2,6,8,7,5]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]
[3,2,6,1,5,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,2,7,1,4,6,5,8]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,7,1,3,2,6,4,8]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,7,1,2,4,5,3,8]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[7,6,1,2,5,4,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[8,6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,1,2,3,5,6,4]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[6,8,1,2,4,3,7,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[5,8,1,3,2,4,7,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[4,8,2,1,3,5,7,6]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,2,4,3,6,7,8]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[6,1,2,3,5,4,7,8]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[7,1,2,3,4,6,5,8]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,7,6,8,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,8,4,5,7,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,4,8,6,7,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,6,1,7,8,4,2]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[2,5,6,8,1,7,3,4]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[1,5,6,8,2,3,7,4]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[2,5,6,3,4,7,8,1]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,3,1,5,7,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,4,1,6,7,8,5,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[4,3,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,7,2,6,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,1,5,8,4,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,1,2,8,4,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,7,1,3,4,8,5,2]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,1,7,3,4,8,6,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,1,8,7,2,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[3,8,1,2,7,4,5,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,1,3,7,5,8,6,2]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[1,2,8,3,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[4,2,1,6,5,8,7,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,2,7,4,8,1,6,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,2,7,4,8,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,7,2,3,8,6,1,4]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,7,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[1,5,7,4,8,3,6,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[1,5,7,4,8,6,3,2]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,1,7,4,8,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,7,1,3,8,6,2,4]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[5,7,3,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,7,3,8,5,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,1,8,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,2,7,8,4,5,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[6,2,7,8,1,4,5,3]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,2,7,1,8,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[6,2,7,8,5,1,4,3]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,2,7,8,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,7,1,2,8,6,3,4]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[5,1,7,2,8,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,5,7,3,8,6,4,2]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,7,8,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,1,7,8,5,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,1,7,8,5,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,7,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,8,5,2,7,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,3,4,5,8,7,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,1,4,7,2,3,6]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,6,4,8,5,7,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,3,8,4,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,3,8,5,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,8,1,7,6,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,6,1,2,7,8,5,3]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[6,3,7,5,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[6,5,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,1,4,6,7,2,3]=>[1,4,6,7,2,3,5,8]=>[1,3,5,4,7,6,2,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,5,8,4,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,3,7,4,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[8,7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[3,8,6,7,1,4,5,2]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[5,3,8,7,4,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,8,7,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[8,3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[5,6,1,8,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,4,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,7,4,3,5,8,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,7,6,4,5,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[2,7,6,5,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,5,4,3,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,5,4,1,8,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,6,5,2,8,3,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,4,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,6,5,3,4,8,2,7]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,4,6,3,1,8,2,7]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[6,5,8,4,2,7,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[3,8,6,2,5,7,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,8,5,3,2,6,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,3,1,7,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,8,6,3,7,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,1,6,3,2,5,4]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,8,1,7,3,5,6,4]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,8,6,1,7,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,8,1,3,7,2,6,5]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[5,1,7,6,8,3,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,1,5,8,4,2,6]=>[1,5,8,2,6,3,7,4]=>[1,6,7,8,5,3,4,2]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[6,7,3,1,8,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,7,3,8,4,5,2,6]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[8,6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[7,2,6,1,8,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[8,2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[7,3,1,5,8,4,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,7,5,6,8,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[6,5,4,8,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,5,2,8,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,1,8,3,7,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[7,5,8,3,2,6,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,6,8,2,4,7,5,1]=>[1,2,4,7,3,6,8,5]=>[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[5,7,3,8,2,6,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,7,2,8,6,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[3,6,8,1,7,2,5,4]=>[1,7,2,5,3,6,8,4]=>[1,5,6,8,3,7,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,1,8,6,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,2,8,7,6,3,4,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,5,8,3,7,6,2,4]=>[1,5,8,2,4,3,7,6]=>[1,4,7,3,5,8,6,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[5,1,6,8,7,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,8,7,6,4,5,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,8,7,6,5,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,8,7,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,5,7,4,6,2,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[3,7,4,8,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[4,7,2,8,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,7,2,8,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[2,7,3,8,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,4,8,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,2,7,4,6,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,1,7,4,6,2,3]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[1,7,4,8,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,7,3,8,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,8,1,7,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,8,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,8,2,6,3,5,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,8,2,7,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,7,3,8,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,2,8,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[3,7,1,8,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,8,5,7,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,3,7,1,5,2,4]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[2,6,1,8,4,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,8,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,8,1,6,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,8,1,5,2,6,3,4]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,8,2,6,1,7,3,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,8,2,6,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,7,3,6,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]
[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,8,6,7,9]=>[1,2,3,4,5,7,8,6,9]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]]
[1,4,3,5,6,7,8,9,2]=>[1,4,2,3,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]]
[3,2,4,5,6,7,8,9,1]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,7,4,6,2,3,1,8]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[5,7,4,6,3,8,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[5,7,4,8,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,4,6,3,7,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[5,6,4,8,3,7,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,6,3,7,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,6,3,7,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,6,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,6,4,8,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,4,6,2,7,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,4,5,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,4,6,2,3,1,7]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[5,6,4,8,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,3,8,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,6,3,4,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,2,7,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,6,3,5,2,8,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,6,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,8,3,6,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,8,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,8,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,8,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,3,5,2,6,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,8,3,6,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,6,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[4,7,3,6,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,7,4,8,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[5,7,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,7,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[6,7,3,5,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,7,3,4,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,7,3,4,2,6,1,8]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,7,3,4,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,3,6,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,3,7,2,4,1,5]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,8,3,7,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,3,7,2,5,1,6]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[4,7,3,5,2,8,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,7,3,5,2,6,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,5,3,7,2,6,1,8]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,5,3,7,2,8,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,5,3,8,2,7,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,3,5,2,7,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,8,3,4,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,3,4,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,8,3,4,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,8,3,4,2,5,1,7]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,8,3,4,2,6,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,8,3,5,2,6,1,7]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,5,3,8,2,6,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,5,3,6,2,8,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,8,5,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,5,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,4,6,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[4,6,8,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,7,8,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,4,8,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,4,8,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,8,1,7,5,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,8,7,2,1,3,4]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[8,5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,2,8,7,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,1,6,8,7,4,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[2,1,7,8,6,4,5,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,3,2,8,6,4,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,6,8,5,2,4,3,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,8,7,5,3,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,8,4,2,3,7,6,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,8,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,6,2,7,3,1,5]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,6,1,8,7,4,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[3,7,1,8,6,4,5,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[3,8,1,6,7,5,2,4]=>[1,6,7,2,4,3,8,5]=>[1,4,7,3,8,6,2,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,7,1,6,8,2,5,4]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[6,7,4,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,8,6,7,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,8,6,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[6,7,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[7,6,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[8,6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,2,6,8,1,5,4]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,1,7,6,8,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,6,8,1,4,2,3]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,5,7,8,1,2,4,3]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[5,2,8,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,6,2,5,4,7,3,8]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[6,2,7,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6,8]=>[1,4,3,5,2,7,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,8,3,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[7,1,5,3,4,8,6,2]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,4,3,5,6,8,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,2,7,5,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,8,2,4,7,3,1]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,2,8,4,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,6,1,8,5,2,4,7]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[3,4,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[5,8,1,6,3,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,8,5,2,1,4,7]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,5,8,3,1,6,4]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,7,5,6,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[7,2,1,3,8,6,4,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,7,3,2,4,6,8]=>[1,5,7,2,4,6,8,3]=>[1,4,8,6,5,7,2,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,7,3,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[5,8,2,4,1,3,7,6]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,8,1,6,3,2,7,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,1,8,6,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,4,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,5,8,3,1,7,4,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,8,2,3,4,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[8,7,6,5,4,9,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[8,7,6,5,4,3,9,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[8,7,6,5,4,3,2,9,1]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,8,9,10,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]
[8,7,6,4,5,9,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,7,8,9,10,6]=>[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]
[8,7,6,5,3,4,9,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]
[8,7,6,5,4,2,3,9,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[9,8,7,6,5,4,3,10,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]
[8,7,6,5,4,3,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[9,8,7,6,5,4,3,2,10,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,4,5,6,7,8,9,10,3]=>[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]
[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,7,3,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,5,7,8,6,1,3]=>[1,3,2,5,7,8,4,6]=>[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[7,2,3,1,8,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,2,1,8,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,2,8,3,5,1,7,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,3,6,4,8,5,7,2]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,2,4,7,5,8,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,4,2,3,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,7,2,3,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[8,2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,3,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,2,8,4,3,5,6,7]=>[1,2,8,3,5,6,7,4]=>[1,2,5,8,6,7,4,3]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]
[1,7,4,2,3,5,6,8]=>[1,7,2,3,5,6,8,4]=>[1,3,5,8,6,7,2,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,8,4,1,3,2,5,7]=>[1,3,2,5,7,4,6,8]=>[1,3,2,6,5,7,4,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,6,3,8,2,4,7,5]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,5,8,4,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[1,4,6,2,8,3,7,5]=>[1,4,6,2,8,3,7,5]=>[1,6,7,4,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,3,6,1,2,8,4,7]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[1,7,4,5,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,3,1,4,2,7,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,3,4,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,2,3,1,4,5,8,6]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[8,3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,7,5,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,7,5,4,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,1,4,8,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,4,6,8,2,7,3,5]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,7,4,5,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,7,6,3,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[5,1,4,2,7,8,3,6]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,1,2,8,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,1,2,7,6,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,3,7,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[1,7,4,3,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,4,2,7,8,3,6,5]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,2,3,7,8,5,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8,10]=>[1,2,3,4,5,6,8,9,7,10]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]
[9,1,2,3,4,10,5,6,7,8]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]
[9,1,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,1,2,3,4,5,6,7,8,11,9]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,10,11,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]
[8,1,2,3,4,5,6,9,10,7]=>[1,2,3,4,5,6,9,10,7,8]=>[1,2,3,4,5,6,8,10,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]]
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[4,7,8,5,6,2,1,3]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,6,8,7,5]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,6,3,8,2,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[8,6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6,8]=>[1,3,5,4,2,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,6,3,8,2,1,4,7]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,6,4,8,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,6,4,8,3,5,7,1]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[3,6,4,7,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,2,1,7,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[2,6,5,7,8,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,2,7,8,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[8,5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,5,7,6,4,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,6,3,7,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,6,4,7,3,8,5,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,4,3,2,1,6,8,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[8,4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[8,4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,4,3,2,1,5,8,6]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,4,3,2,1,5,8,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,8,3,7,5,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,7,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,2,5,8,4,6,1,7]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,2,4,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,2,1,5,7,3,6,8]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,2,3,7,1,6,8]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[4,2,5,3,8,1,6,7]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,5,8,3,1,6,7]=>[1,6,7,2,5,8,3,4]=>[1,5,4,8,7,6,2,3]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,1,5,3,8,2,6,7]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,1,5,8,3,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,3,8,5,2,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[3,5,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,1,4,3,7,8,6]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,3,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,3,6,1,5,2,7,8]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,6,3,1,7,2,5,8]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,2,7,1,3,4,8]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[4,6,7,2,3,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,6,2,1,7,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,2,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[3,5,2,7,4,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[7,2,1,4,6,3,8,5]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[3,2,6,1,5,7,4,8]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,6,2,1,5,7,4,8]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[6,3,2,1,5,7,4,8]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,2,6,1,5,3,7,8]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[7,4,1,5,6,2,3,8]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,6,5,1,7,2,3,8]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[3,6,5,1,2,7,4,8]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[2,3,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,4,1,5,8,3,7,6]=>[1,5,8,2,4,3,7,6]=>[1,4,7,3,5,8,6,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,4,1,5,3,8,7,6]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[3,4,5,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,4,8,5,3,1,7,6]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,4,5,8,2,1,7,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,5,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,4,6,2,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[3,5,6,2,7,1,8,4]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[3,5,6,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,4,8,6,3,7,1,5]=>[1,5,2,4,8,3,7,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,8,4,6,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[3,5,6,2,7,4,1,8]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,5,6,8,7,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,5,6,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,5,6,8,7,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,3,2,6,7,5,4]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[2,5,1,6,7,4,8,3]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,5,1,6,7,4,3,8]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,6,1,7,4,2,8]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,5,6,1,7,4,8,2]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[3,4,6,1,8,7,5,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,4,8,6,1,7,5,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,8,4,6,2,7,5,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[1,8,5,6,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,5,6,8,7,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,8,2]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,6,8,7,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[2,5,8,6,7,4,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,2,4,3,7,1,6]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,5,6,1,8,3,7]=>[1,8,2,5,6,3,7,4]=>[1,5,7,8,6,3,4,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[6,1,5,8,3,2,4,7]=>[1,5,8,2,4,7,3,6]=>[1,4,6,7,5,8,3,2]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[3,6,8,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,1,5,6,8,2,4]=>[1,5,6,8,2,4,3,7]=>[1,4,7,3,5,6,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,1,5,7,8,3,2,4]=>[1,5,7,8,2,4,3,6]=>[1,4,6,3,5,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[4,2,5,6,1,7,8,3]=>[1,7,8,2,5,6,3,4]=>[1,5,4,8,6,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,7,6,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,8,6,1,7,3,4,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,5,1,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,2,4,1,8,7,5,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,5,1,6,8,7,4]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,8,6,5,1,7,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,7,6,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,1,7,8,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[3,2,4,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,2,4,1,7,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,4,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,2,5,1,8,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[3,2,5,1,6,7,4,8]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,5,1,7,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,5,1,8,4,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,2,6,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,2,6,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[8,4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,2,5,1,8,6,4,7]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[8,5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,2,4,1,8,6,5,7]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[7,8,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,7,5,1,8,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,5,7,3,1,8,4,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,5,7,4,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[4,3,7,5,1,8,6,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,4,3,8,5,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,4,3,6,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,5,4,6,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[3,2,5,8,1,6,7,4]=>[1,6,7,2,5,8,3,4]=>[1,5,4,8,7,6,2,3]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,5,4,6,8,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,6,2,1,8,5,7,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[2,4,1,7,5,8,6,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,4,1,7,5,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,6,4,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[5,4,8,2,1,6,3,7]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,8,4,1,6,3,7]=>[1,6,2,5,8,3,7,4]=>[1,5,7,8,6,2,4,3]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,8,3,2,6,1,5,7]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,5,2,8,1,6,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,2,7,1,5,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,7,1,5,8,6,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,8,2,5,1,6,7,4]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,8,3,2,6,7,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,4,7,2,6,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,8,2,6,7,1,5]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,2,6,7,8,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,4,8,2,6,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,3,2,6,7,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,3,7,2,6,8,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,5,7,4,8,1,6,3]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,2,5,7,8,1,6,4]=>[1,6,2,5,7,8,3,4]=>[1,5,4,8,6,2,7,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,2,5,7,1,6,4,8]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,3,2,7,1,5,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[6,5,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[2,1,7,5,3,8,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,2,1,8,5,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,3,2,1,4,7,5,8]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,5,2,1,7,4,6,8]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,8,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,4,1,7,3,8,6,5]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,5,8,2,1,7,4,6]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,3,7,2,1,5,6]=>[1,5,6,2,3,7,4,8]=>[1,3,6,7,5,2,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[4,3,7,2,1,5,6,8]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[4,8,3,2,7,1,5,6]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,5,2,8,1,7,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,1,4,7,5,8,6]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,8,2,1,5,6,7]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[8,7,6,4,5,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,9,8,7,5,6,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,9,8,7,6,5,4,3,2,1,11]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[9,8,7,5,6,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,10,9,8,6,7,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,1,5,2,4,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,1,5,3,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[8,3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[8,3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,8,4,5,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[8,1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[2,1,8,4,7,5,6,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[8,1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[8,1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[8,4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,3,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,8,3,7,5,6,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[8,1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[8,5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[8,4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,5,8,1,3,2,7,4]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,5,8,6,3,2,7,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,8,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[6,7,2,8,4,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,8,4,6,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,1,8,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[3,1,6,8,4,5,7,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,3,6,8,4,5,7,1]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,3,7,8,4,6,5,2]=>[1,3,7,8,2,4,6,5]=>[1,4,3,6,8,5,7,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[3,6,7,8,4,2,5,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,6,8,7,3,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[2,8,3,7,1,6,5,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,2,8,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[7,2,1,8,4,6,5,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,2,7,8,4,6,5,1]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,2,7,8,1,4,6,3]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,2,7,8,5,4,6,3]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,2,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[6,2,8,5,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,3,5,4,1,6,7]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,4,8,5,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,3,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[3,4,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,7,6,8,4,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,7,1,8,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,7,5,8,1,4,6,2]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,7,5,8,3,4,6,2]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[4,6,8,5,1,3,2,7]=>[1,3,2,7,4,6,8,5]=>[1,3,2,6,8,7,4,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[5,6,8,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,8,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,1,8,3,5,6,2,7]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,6,8,1,5,3,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,7,3,8,5,4,6,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,7,8,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[2,8,7,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,5,8,4,2,3,1,7]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,3,2,8,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,4,3,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,8,4,3,5,1,6,7]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,2,8,4,5,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,2,3,8,5,4,6,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,2,3,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,1,3,2,4,8,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,2,8,4,5,3,7,6]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[1,4,2,8,5,3,6,7]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[8,1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,8,1,5,2,4,6,7]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,2,8,4,3,6,7]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[1,2,8,5,4,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[1,2,5,4,3,8,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,7,4,8,5,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[1,5,2,7,8,4,3,6]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,1,2,7,4,8,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[2,8,1,5,4,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,2,4,8,7,5,3,6]=>[1,2,4,8,3,6,5,7]=>[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[2,8,1,4,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[3,6,4,8,1,7,2,5]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[7,6,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,1,6,2,8,4,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[1,6,7,2,8,4,3,5]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,7,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,3,7,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,5,7,4,3,8,6,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[1,7,2,8,4,5,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,4,2,7,8,5,3,6]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[6,1,2,8,4,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,4,1,2,8,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,6,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[6,7,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,2,7,5,8,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[1,2,5,8,3,7,4,6]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[2,8,1,7,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[4,2,8,1,7,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,8,1,7,4,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,2,8,4,7,5,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[8,6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,7,4,8,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,4,8,7,1,6,2,5]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,2,8,1,7,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,8,1,7,6,4,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,8,3,4,1,5,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,4,1,6,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,8,3,4,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,7,3,4,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,3,4,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,3,4,1,6,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,3,4,1,5,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,7,3,4,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[5,7,3,4,1,6,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,6,2,8,3,4,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[4,6,2,8,3,5,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,7,3,5,1,6,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,8,3,5,1,6,2,7]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,8,3,5,1,7,2,6]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,7,3,5,1,8,2,6]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[5,6,2,3,1,7,4,8]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,6,2,4,1,8,3,7]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,6,2,4,1,7,3,8]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,6,2,5,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[4,6,2,5,1,8,3,7]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,5,1,8,3,7,2,6]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,6,2,7,3,8,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,6,2,7,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,6,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,6,3,8,4,7,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[5,6,2,8,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[5,6,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,6,2,8,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[4,5,1,7,3,6,2,8]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,5,1,8,3,6,2,7]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,2,3,5,6,7,8,9,1]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[3,2,4,5,6,7,8,9,10,1]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[8,3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,8,4,5,7,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[5,8,7,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[2,8,7,4,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,6,8,5,7,4,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,8,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,8,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[2,5,8,4,7,6,3,1]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[4,3,8,1,5,6,7,2]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,8,7,4,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,8,3,6,1,4,7,2]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,8,3,6,1,2,7,5]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[3,8,7,4,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[3,8,1,2,5,6,7,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[8,1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,8,7,4,5,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,3,6,2,4,7,1]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[5,8,3,6,2,1,7,4]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[6,1,8,4,5,7,2,3]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,8,3,5,1,7,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,8,1,4,7,6,2,3]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,3,1,6,2,7,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,5,3,8,6,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,4,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,7,8,9,10,1,2,3,4,6]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,5,7,6,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[3,5,7,2,6,4,8,1]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[2,5,7,3,6,4,8,1]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[1,5,7,3,6,8,4,2]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,2,7,3,6,4,8,1]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[8,3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,1,3,7,6,8,5,2]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,7,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[5,8,7,3,6,1,4,2]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,8,3,7,6,1,5,2]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,8,4,7,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,8,3,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,8,2,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,7,1,2,8,5,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,2,7,8,6,5,3]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[8,4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,5,7,2,8,6,4,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,5,7,1,8,6,4,3]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,5,7,1,6,8,4,2]=>[1,6,8,2,3,5,7,4]=>[1,3,5,8,7,6,4,2]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[6,7,4,5,8,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,4,7,6,8,1,3,2]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[2,5,7,8,1,6,4,3]=>[1,6,2,5,7,8,3,4]=>[1,5,4,8,6,2,7,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,5,7,8,2,6,4,3]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[8,5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,4,8,7,6,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,3,7,8,6,1,4,2]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[6,7,2,8,1,5,4,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,2,8,7,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,2,8,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,3,8,2,7,6,5,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[8,3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,8,3,7,6,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[2,1,8,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,7,1,8,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,8,7,1,2,6,4,3]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,8,1,2,7,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,8,1,3,7,6,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,2,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,7,1,5,8,2,6,4]=>[1,5,8,2,6,3,7,4]=>[1,6,7,8,5,3,4,2]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[2,7,1,5,8,3,6,4]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[2,6,5,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,6,5,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,6,5,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[5,6,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,4,5,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,4,6,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[4,5,6,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,6,1,8,2,7,4]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[2,5,6,1,8,3,7,4]=>[1,8,2,5,6,3,7,4]=>[1,5,7,8,6,3,4,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[5,3,6,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[7,3,1,5,8,2,6,4]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[8,1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[6,2,5,1,8,3,7,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[4,2,6,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,3,6,1,4,8,7,5]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,2,4,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[7,2,1,4,3,8,6,5]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[8,1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[8,1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[7,3,1,4,2,8,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,3,4,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,6,4,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,7,1,4,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,1,4,2,8,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,7,1,3,2,8,6,5]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[4,7,1,2,3,8,6,5]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[2,7,1,3,4,8,6,5]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[3,6,2,1,4,8,7,5]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[5,6,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,5,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,4,2,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,4,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,5,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,3,1,2,4,8,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[7,2,1,3,4,8,6,5]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,4,3,6,5,8,1,7]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,4,6,3,5,1,8,7]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,1,6,5,3,8,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,2,6,5,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[4,2,6,5,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,2,6,5,8,1,7,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,2,6,5,8,3,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,4,1,6,5,8,3,7]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,1,4,6,5,8,3,7]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,2,6,5,3,8,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,6,4,3,8,7,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,6,4,3,8,7,5,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,2,6,8,5,3,7,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[2,4,6,8,1,5,7,3]=>[1,5,7,2,4,6,8,3]=>[1,4,8,6,5,7,2,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,4,6,1,8,5,7,3]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,4,6,1,8,5,3,7]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[2,4,6,8,1,5,3,7]=>[1,5,2,4,6,8,3,7]=>[1,4,7,5,2,6,8,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[2,4,6,8,3,5,7,1]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[2,4,6,8,3,5,1,7]=>[1,7,2,4,6,8,3,5]=>[1,4,5,6,8,7,2,3]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[2,4,6,8,3,1,5,7]=>[1,5,7,2,4,6,8,3]=>[1,4,8,6,5,7,2,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,4,6,3,1,8,5,7]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,6,3,8,5,7,1]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,4,3,6,8,5,7,1]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[2,4,3,6,1,8,5,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,4,3,6,1,8,7,5]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[4,6,5,2,8,7,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[4,6,2,5,8,7,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[2,4,6,3,1,8,7,5]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[2,4,1,6,3,8,7,5]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,1,4,6,3,8,7,5]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[2,4,6,1,8,3,7,5]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[2,4,6,8,3,1,7,5]=>[1,7,2,4,6,8,3,5]=>[1,4,5,6,8,7,2,3]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[4,6,2,8,5,7,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[6,4,2,8,7,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,1,6,4,8,7,5,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,6,4,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[2,6,4,8,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[6,4,2,8,7,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,2,4,8,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[5,2,4,7,3,6,8,1]=>[1,2,4,7,3,6,8,5]=>[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[8,1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,1,7,4,5,8,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,1,4,7,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[1,6,7,4,8,3,2,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,3,1,7,5,8,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,8,6,3,7,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[6,8,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,8,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[5,7,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[6,7,1,3,8,2,4,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,1,2,4,8,3,6,7]=>[1,2,4,8,3,6,7,5]=>[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[4,3,6,1,5,8,2,7]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[2,6,1,4,5,8,3,7]=>[1,4,5,8,2,6,3,7]=>[1,6,7,4,5,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[6,5,1,3,4,8,2,7]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[1,6,2,4,8,3,5,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,5,3,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,7,8,3,6,1,4,5]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,2,4,8,7,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,2,8,3,7,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,1,4,8,7,2,3,6]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[4,8,2,5,1,3,7,6]=>[1,3,7,2,5,4,8,6]=>[1,5,3,7,4,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,7,2,5,1,3,8,6]=>[1,3,8,2,5,4,7,6]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[3,7,2,1,5,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,8,2,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,7,2,1,4,5,8,6]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]
[3,2,7,1,4,6,8,5]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[3,2,8,1,4,6,7,5]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,8,2,1,4,7,5,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,8,2,1,5,7,4,6]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,8,2,5,1,7,3,6]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,7,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[3,2,1,7,5,8,6,4]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,6,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,3,7,6,8,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,3,8,6,7,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,2,8,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,1,8,7,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,8,2,1,7,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,8,1,6,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,2,7,1,6,4,8,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,2,7,6,1,3,8,5]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[4,2,8,6,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,8,7,1,3,6,5]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,8,3,4,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,6,7,1,3,8,5]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[3,2,6,1,8,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,7,2,1,8,4,5,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,7,3,8,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[4,3,7,8,6,1,2,5]=>[1,2,5,3,7,8,4,6]=>[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[3,2,7,1,8,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,2,1,6,8,5,7,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[3,2,6,1,8,7,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[4,3,6,8,7,1,2,5]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,4,6,8,7,5,1,2]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[5,3,6,4,8,7,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,4,6,2,7,8,5,3]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,1,8,5,4,2,6,7]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[1,2,7,5,4,8,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,3,7,5,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,3,8,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[3,8,7,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,3,6,7,8,5,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,5,6,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[3,6,8,5,4,7,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,6,3,5,4,8,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[1,6,2,5,4,8,7,3]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,2,1,5,4,8,7,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,1,6,2,8,7,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,8,3,1,4,2,6,5]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,6,1,8,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[2,3,8,5,4,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[4,8,1,5,2,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,1,6,4,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,1,6,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,1,5,7,4,3,2,8]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,5,8,6,4,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,4,6,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[7,8,4,1,5,3,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,5,1,6,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,6,8,7,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,8,1,7,4,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,6,1,7,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,7,6,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,8,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,8,7,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,1,7,5,6,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,8,1,5,4,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,2,8,5,6,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[6,1,2,5,7,3,8,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,2,1,5,6,3,7,8]=>[1,5,6,2,3,7,8,4]=>[1,3,6,8,5,2,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,3,6,1,5,7,2,8]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,4,6,3,7,1,8,5]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[4,1,6,7,3,8,2,5]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,1,7,5,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,3,5,4,1,7,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,8,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,8,1,4,6,3,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[3,1,6,4,7,8,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,8,5,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,1,5,8,4,3,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,1,8,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,5,1,8,4,3,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,5,8,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,8,7,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,5,7,8,4,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[2,4,7,5,1,3,8,6]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,1,8,2,7]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[2,6,4,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[1,6,5,8,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,8,5,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,5,1,4,3,2,8]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,9,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,9,4,7,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]]
[1,2,5,3,6,7,8,9,4]=>[1,2,5,3,6,7,8,9,4]=>[1,2,5,9,3,6,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]]
[1,4,2,5,6,7,8,9,3]=>[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]]
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,6,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[4,3,6,2,8,1,5,7]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[6,1,2,5,4,7,8,3]=>[1,2,5,3,4,7,8,6]=>[1,2,4,5,3,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[4,2,8,5,1,3,7,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,3,6,8,1,7,2,5]=>[1,7,2,5,3,6,8,4]=>[1,5,6,8,3,7,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,3,6,4,1,7,2,8]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,4,6,3,7,5,8,2]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,6,7,2,5,8,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[2,7,5,4,1,6,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,5,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[1,7,5,4,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,5,4,1,6,7,3,8]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,6,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[8,5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,1,7,8,5,3,6]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,5,4,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[5,6,3,2,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[3,5,2,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,8,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,7,5,8,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,3,2,8,5,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[8,6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,8,4,3,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,7,2,1,8,6,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[7,5,8,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,7,3,2,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,7,3,2,1,6,4,8]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,3,7,2,5,1,8,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,5,7,8,4,1,3]=>[1,3,2,5,7,8,4,6]=>[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[6,3,7,2,8,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[3,2,6,1,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,5,8,4,1,3,7,6]=>[1,3,7,2,5,8,4,6]=>[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,4,1,7,8,3,6,5]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,7,2,8,6,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,3,8,2,1,4,7,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,8,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,8,9,7,6,5,4,3,2]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[8,9,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,8,7,9,6,5,4,3,2]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,7,9,8,6,5,4,3,2]=>[1,7,9,2,3,4,5,6,8]=>[1,3,4,5,6,8,7,9,2]=>[.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]]
[1,9,10,8,7,6,5,4,3,2]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[7,8,3,5,4,6,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[5,4,1,6,3,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,1,6,2,8,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,7,1,6,2,8,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,6,5,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,7,6,5,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,3,6,5,1,4,8,7]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,3,6,1,5,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[7,3,5,1,8,4,2,6]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[2,7,6,1,5,8,4,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[2,7,6,4,1,8,5,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,1,7,6,3,8,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,1,7,6,3,8,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,7,6,4,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[7,3,5,1,8,6,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,3,4,8,7,6,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,3,4,8,5,7,1,6]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[6,4,3,5,8,7,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[2,1,4,5,8,7,3,6]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[6,4,3,5,8,7,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[2,3,4,8,7,5,6,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[2,3,4,8,7,5,1,6]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,7,6,5,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,3,5,6,8,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[7,3,5,6,8,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[7,3,5,6,8,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,4,1,5,8,7,2,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[6,4,1,5,8,7,3,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,7,1,6,3,8,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,4,1,5,8,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[7,4,1,5,8,2,6,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[6,3,5,7,8,2,4,1]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[2,7,6,4,5,8,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,7,3,6,1,8,4,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,1,4,5,8,6,3,7]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]
[7,3,5,4,8,6,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[2,3,4,8,5,6,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,8,7,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,8,1,7,6,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,3,4,8,5,1,7,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,1,4,5,8,3,7,6]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]
[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,4,8,1,6,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,3,4,8,1,5,7,6]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,8,2,6,1,5,3,4]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,1,6,2,5,3,4]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,8,6,7,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,8,5,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,1,7,2,6,3,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,2,7,1,6,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,8,6,7,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,8,5,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,8,1,7,5,6,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,2,7,5,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,8,2,7,4,6,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,8,1,7,4,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,8,4,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,8,2,7,1,6,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,8,1,7,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,8,4,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,8,1,7,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,8,4,7,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,8,3,7,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,8,1,7,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,8,1,7,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[1,8,3,7,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,8,3,7,2,6,4,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,8,1,7,2,6,4,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,8,2,7,1,6,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,2,7,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,8,2,7,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,2,7,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,8,3,7,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[3,8,4,7,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[2,8,4,7,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[2,8,3,7,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[2,8,3,7,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[2,8,3,7,1,6,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,8,1,7,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[7,5,2,8,6,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,5,1,8,6,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,4,8,6,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,8,4,5,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,8,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,6,7,3,8,5,2,4]=>[1,6,7,2,4,3,8,5]=>[1,4,7,3,8,6,2,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,1,8,3,5,6,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,3,8,6,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,4,2,8,6,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,2,8,4,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,2,8,3,5,1,6,4]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[7,2,8,3,4,6,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,5,7,8,2,6,3,4]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[6,2,3,8,5,7,4,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[6,2,4,8,5,3,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,6,3,7,8,5,4,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,6,3,7,8,4,5,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,4,7,3,5,6,8,1]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,4,7,3,6,8,5,1]=>[1,2,4,7,3,6,8,5]=>[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[3,1,5,4,7,8,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,2,4,8,6,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,3,8,4,6,7,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[1,4,7,8,3,6,2,5]=>[1,4,7,8,2,5,3,6]=>[1,5,6,4,3,8,7,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[4,8,1,3,6,7,2,5]=>[1,3,6,7,2,5,4,8]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,3,8,2,4,7,1,6]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,4,3,8,1,2,7,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,4,2,8,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,8,2,5,1,7,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[5,8,1,4,2,6,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,4,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,1,2,8,7,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[6,5,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[5,2,6,4,1,7,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,5,1,7,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,5,6,1,2,8,7,4]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[3,5,7,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,6,2,7,5,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,2,5,7,1,8,6,3]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,4,5,8,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,4,6,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,5,6,1,3,8,7]=>[1,3,8,2,5,6,4,7]=>[1,5,3,7,6,4,8,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[4,3,1,2,5,6,8,7]=>[1,2,5,6,8,3,4,7]=>[1,2,4,7,5,6,8,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[5,3,6,8,4,7,2,1]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[3,7,2,5,4,8,6,1]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[5,2,6,8,4,3,7,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[3,1,6,5,4,8,2,7]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,1,6,5,8,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,7,1,8,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,7,1,5,4,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[8,5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,7,6,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,7,8,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,8,2,3,4,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,8,2,4,3,5,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,8,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[8,3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[5,7,3,8,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[4,7,3,5,8,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[8,7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[8,7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,7,6,8,4,1,2,3]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,7,6,5,8,1,2,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,7,6,5,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,8,9,2,3,4,5,6,7]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[10,1,2,3,4,5,6,7,8,9,11]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[7,1,8,2,3,4,5,6,9]=>[1,8,2,3,4,5,6,9,7]=>[1,3,4,5,6,8,9,2,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,8,1,2,3,4,5,7,9]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,8,7,9,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[1,8,2,9,3,4,5,6,7]=>[1,8,2,9,3,4,5,6,7]=>[1,8,4,5,6,7,9,2,3]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,9,2,3,4,5,6,8]=>[1,7,9,2,3,4,5,6,8]=>[1,3,4,5,6,8,7,9,2]=>[.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]]
[1,9,10,2,3,4,5,6,7,8]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[3,6,4,8,7,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[5,6,4,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,6,2,4,7,8,5,3]=>[1,6,2,4,7,8,3,5]=>[1,4,5,6,8,2,7,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[3,4,7,2,8,1,6,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,3,8,4,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[3,5,6,4,8,7,1,2]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[4,6,8,5,3,7,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,6,8,7,4,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[6,8,5,3,4,7,1,2]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,6,5,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,8,5,2,7,3,6,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,2,7,5,1,8,6,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[7,8,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,5,1,3,4,2,8,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[7,4,5,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,8,3,6,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,5,8,6,4,1,3,7]=>[1,3,7,2,5,8,4,6]=>[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,6,8,7,4,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[6,1,7,8,2,4,3,5]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[7,1,8,6,3,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[7,2,1,4,5,6,8,3]=>[1,4,5,6,8,2,3,7]=>[1,3,7,4,5,6,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[6,1,3,2,7,5,8,4]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,6,3,8,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,6,4,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,6,5,8,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,6,7,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,6,4,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,1,3,4,5,2,8,6]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,8,3,5,4,2,7,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,1,6,3,8,2,7,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,6,4,7,8,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,5,7,4,3,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,5,8,3,4,1,6]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,3,8,7,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,5,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,8,4,1,2,3,6]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[3,5,7,8,4,1,2,6]=>[1,2,6,3,5,7,8,4]=>[1,2,5,8,6,3,7,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[1,4,7,5,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[1,6,7,4,8,3,2,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[7,8,4,6,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,6,4,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,6,5,8,4,2,1,7]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[5,6,8,4,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,8,6,5,3,2,7,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,7,5,8,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,7,5,8,2,6,4,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,3,8,5,7,6,2,4]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,3,8,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[8,3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,8,2,5,7,6,3,4]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,1,8,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[2,5,8,6,1,7,3,4]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,8,6,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[7,6,5,8,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,1,7,6,8,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,5,8,1,6,4,3]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,2,8,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,8,6,5,7,3,4]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[4,2,1,3,6,7,8,5]=>[1,3,6,7,8,2,4,5]=>[1,4,3,5,8,6,7,2]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]
[8,2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7,8]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,6,5,4,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[6,1,5,3,4,7,8,2]=>[1,5,2,3,4,7,8,6]=>[1,3,4,5,2,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[7,5,6,2,4,1,8,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[8,1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,5,8,6,2,7,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,8,1,6,3,7,2,4]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,8,5,6,3,7,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,7,6,5,4,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,4,2,6,5,8,3]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,1,7,3,5,6,8,2]=>[1,7,2,3,5,6,8,4]=>[1,3,5,8,6,7,2,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,7,6,4,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[1,7,6,4,5,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,3,6,5,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,8,1,6,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,8,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,5,6,4,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,6,2,5,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[6,1,3,4,5,7,8,2]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[7,2,6,4,5,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,4,7,3,6,8,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[3,4,7,8,5,6,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[3,4,7,2,5,1,6,8]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[3,6,2,4,7,1,5,8]=>[1,5,8,2,4,7,3,6]=>[1,4,6,7,5,8,3,2]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[6,8,3,4,5,7,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,3,6,7,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[6,3,7,5,8,4,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,3,8,6,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,2,7,6,5,8,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[4,8,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,8,6,4,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,3,6,2,5,1,8,7]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[7,8,3,2,5,1,4,6]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[7,8,1,2,5,6,3,4]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[4,1,6,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[2,1,8,6,4,7,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[5,1,8,7,2,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,1,5,7,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,6,4,7,2,5,8]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,4,7,5,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[6,5,7,1,4,2,3,8]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,6,8,1,3,2,4,7]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[6,8,5,1,3,4,2,7]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[2,8,3,4,5,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,1,5,7,8]=>[1,5,7,8,2,4,3,6]=>[1,4,6,3,5,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[4,2,8,3,1,7,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,3,7,4,1,6,2,8]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,4,7,3,6,1,8,5]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[5,8,7,6,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[7,5,6,8,1,4,3,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[2,4,7,1,6,5,3,8]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,1,2,8,4,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[2,8,1,4,5,6,3,7]=>[1,4,5,6,2,8,3,7]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[4,2,6,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[7,8,4,1,5,3,6,2]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,4,6,1,5,8,7,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,8,1,6,3,4,7,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,1,8,2,7,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[6,8,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,6,1,7,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,6,1,5,7,4,2,8]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[3,1,7,5,6,4,8,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,1,7,6,4,8,3,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,1,7,8,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,1,8,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,4,7,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,3,7,4,6,8,2,5]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,7,6,5,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,2,7,6,8,3,4,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,1,7,5,3,8,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,1,7,5,6,8,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,1,7,6,8,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,5,6,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,8,6,4,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,8,6,3,7,4,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,8,1,6,2,4,5,3]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[3,8,4,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,4,7,1,8,3,2,6]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,7,4,1,8,5,2,6]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[2,7,1,8,4,5,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,1,2,8,4,3,5,7]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[6,5,1,4,3,8,2,7]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,2,5,8,3,4,7]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[7,4,2,1,8,5,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,5,4,2,8,3,6,7]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[6,4,3,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[3,7,6,8,4,5,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[2,7,6,8,5,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,7,6,8,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,8,6,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[7,3,8,5,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[3,4,8,5,6,7,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,3,5,8,4,7,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[5,4,3,8,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,3,8,7,5,6,2,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[3,1,8,5,7,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[6,1,5,8,7,4,2,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[5,4,1,8,7,6,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[5,8,6,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[4,8,7,5,6,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[6,2,1,4,3,5,8,7]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[6,2,1,4,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[8,2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,2,4,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,2,4,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[2,6,1,4,3,5,8,7]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,6,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,4,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[8,4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,4,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[4,6,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[2,6,1,4,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,1,8,4,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[2,8,1,4,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,8,4,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,8,2,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,8,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,1,8,4,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[2,6,4,1,8,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[4,6,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,6,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[4,2,6,1,8,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[6,2,4,1,8,3,5,7]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[8,2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,1,6,8,3,5,7]=>[1,6,8,2,3,5,7,4]=>[1,3,5,8,7,6,4,2]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[2,1,4,3,8,6,5,7]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[2,4,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[4,2,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[4,2,1,8,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,2,1,8,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[6,2,1,8,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[8,2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,8,1,6,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,2,8,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,4,8,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,4,1,8,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[2,1,4,8,3,6,5,7]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[2,4,8,1,6,3,5,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[2,4,8,6,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,8,6,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,8,4,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,4,8,2,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,6,8,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,8,4,1,3,5,7]=>[1,3,5,7,2,6,8,4]=>[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,1,8,4,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[2,1,6,8,4,3,5,7]=>[1,6,8,2,3,5,7,4]=>[1,3,5,8,7,6,4,2]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[2,1,8,6,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[2,8,1,6,4,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,8,6,4,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,8,6,2,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,8,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,4,3,8,1,7,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,4,1,5,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[4,3,6,1,5,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,3,5,2,8,1,7,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,3,8,2,6,1,7,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,3,8,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,3,8,1,5,2,7,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,1,8,3,4,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,4,8,1,3,2,7,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,1,5,4,8,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,7,6,8,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,6,8,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,7,1,8,5,6,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,3,6,5,8,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[6,3,5,4,7,2,8,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[6,3,5,4,8,1,7,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,6,5,8,1,3,2]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[8,4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[8,1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,7,6,8,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,7,1,8,5,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[3,2,6,5,8,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,5,7,2,4,3,8,1]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[6,5,8,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,2,4,1,8,5,6,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,6,8,2,4,1,5,3]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[7,6,8,1,5,2,4,3]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[2,1,7,3,8,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,3,2,8,5,6,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[7,1,8,5,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,1,8,2,6,4,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,2,8,1,5,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[6,2,7,4,5,3,8,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,4,7,2,6,3,8,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,5,8,1,7,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,1,6,5,8,3,7,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,5,7,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,1,7,4,8,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,3,8,1,7,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]
[2,8,3,1,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[2,5,3,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[2,4,8,3,5,7,6,1]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[4,2,5,3,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,4,1,3,8,2,6,7]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[1,5,8,4,3,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,8,5,4,3,2,6,7]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[1,7,4,3,8,5,2,6]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[4,8,1,5,7,3,6,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[8,1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,8,4,7,6,5,2,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[1,6,8,5,3,7,4,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,8,1,7,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,8,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,8,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,7,5,6,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,7,4,6,3,1,8,5]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[2,6,8,4,3,7,5,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[7,2,6,3,4,1,8,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[2,7,1,8,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[2,1,7,3,5,8,4,6]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[7,8,2,6,3,1,5,4]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,2,8,7,4,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[8,1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,5,2,6,7,4,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[5,2,1,8,6,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[2,8,5,7,6,4,3,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[7,8,1,6,4,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,6,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,3,8,6,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[8,7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,7,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[6,3,5,7,2,8,4,1]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[8,5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,4,6,3,8,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[2,8,4,6,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[8,5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,8,5,7,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,5,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[6,3,4,7,5,8,1,2]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[4,8,3,7,1,2,6,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,6,4,1,7,2,5]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[3,8,1,2,5,7,6,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[2,8,7,5,4,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,6,8,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,3,7,8,2,4,6,1]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[5,3,7,6,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[5,3,6,2,8,7,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,7,8,6,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[6,1,7,4,5,8,2,3]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,1,8,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[2,1,6,7,5,8,3,4]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[2,1,5,7,3,6,8,4]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,1,7,2,5,6,8,3]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,7,1,6,5,8,3]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,2,1,8,7,5,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[3,4,6,2,7,8,5,1]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[5,6,3,1,8,7,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,4,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,8,2,7,1,6,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,2,7,6,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,8,2,7,6,5,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,8,2,7,6,5,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,8,7,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,8,7,2,1,6,5,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,7,3,1,6,5,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,7,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,8,7,3,6,2,5,1]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[4,8,7,3,6,2,1,5]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,8,7,3,6,1,5,2]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,8,7,3,6,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,8,7,3,6,5,2,1]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,6,3,1,4,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,7,6,3,2,4,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,8,7,6,2,4,3,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,8,7,6,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,6,4,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,8,7,6,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[7,3,4,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[7,3,5,2,6,4,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[7,2,1,5,6,4,3,8]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[7,3,5,1,6,4,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[7,4,5,6,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[6,4,5,7,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[6,4,5,7,1,3,8,2]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,2,1,5,7,4,8,3]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,2,1,5,7,4,8,6]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,4,6,7,3,8,1,5]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,4,6,7,3,8,5,2]=>[1,4,6,7,2,3,8,5]=>[1,3,7,4,8,6,2,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[1,5,6,7,8,3,4,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[2,5,6,7,8,3,1,4]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,2,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[5,2,1,6,7,8,4,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,4,5,7,2,1,8,3]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[5,4,6,7,2,8,3,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[5,3,6,2,7,8,1,4]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[6,3,5,2,7,1,8,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[6,3,4,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[5,3,4,1,2,7,8,6]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[4,3,6,2,7,8,1,5]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,4,6,7,2,8,5,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[3,4,5,7,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,2,1,5,7,3,8,6]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,5,6,7,8,4,2,3]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,2,1,6,7,8,5,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[2,5,6,7,8,1,4,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,4,3,6,5,8,7,9]=>[1,4,2,3,6,5,8,7,9]=>[1,3,4,2,6,5,8,7,9]=>[.,[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,4,2,5,3,7,6,9,8]=>[1,4,2,5,3,7,6,9,8]=>[1,4,5,2,3,7,6,9,8]=>[.,[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]]
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[7,1,2,3,4,5,6,8,9]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[1,4,3,7,2,5,6,8]=>[1,4,2,5,6,8,3,7]=>[1,4,7,2,5,6,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,3,7,6,8,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,4,3,7,5,8,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,4,3,7,2,6,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,3,7,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,3,2,6,5,8,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,5,4,8,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,4,8,3,7,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,3,6,5,8,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,4,5,2,6,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,8,3,6,1,5,7,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[5,8,3,1,6,4,7,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,1,4,7,6,3,2]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,1,8,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[7,4,1,8,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[7,1,8,4,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[1,6,3,8,5,2,4,7]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,1,3,8,5,2,4,7]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[7,1,8,3,6,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,2,8,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,8,3,6,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[7,2,8,3,6,1,5,4]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,1,8,2,3,6,5,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,1,2,8,3,5,4,7]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[5,1,2,3,8,4,7,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[5,2,3,8,1,4,7,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,2,4,1,8,7,3,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[3,1,6,4,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,6,3,8,7,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,6,3,8,5,1,4,7]=>[1,4,7,2,6,3,8,5]=>[1,6,7,4,8,3,2,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,5,1,8,3,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[2,5,1,3,8,4,7,6]=>[1,3,8,2,5,4,7,6]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[1,2,5,3,8,4,7,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[2,4,8,1,3,7,6,5]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,8,3,7,6,1,5]=>[1,5,2,4,8,3,7,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[2,5,3,8,1,7,4,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[3,1,5,4,8,2,7,6]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,8,2,3,7,6,1,5]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,8,2,3,7,1,6,5]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,8,1,2,3,7,6,5]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,8,3,7,2,6,5]=>[1,4,8,2,6,3,7,5]=>[1,6,7,4,8,3,5,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[6,3,8,1,5,2,4,7]=>[1,5,2,4,7,3,8,6]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,1,3,8,2,4,7,6]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[1,5,3,8,2,4,7,6]=>[1,5,2,4,7,3,8,6]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,4,8,2,7,6,3]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,4,8,1,2,7,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,5,1,2,8,7,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,3,1,6,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,1,6,2,8,7,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[4,1,5,8,2,7,6,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,3,5,2,8,7,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,6,2,8,7,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[4,2,6,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,3,1,5,8,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,3,4,8,2,7,6,5]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[3,4,8,1,2,7,6,5]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[3,4,8,2,7,1,6,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,4,8,2,7,6,1,5]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,5,8,1,7,6,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,2,1,5,3,6,4]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,1,2,7,3,5,8]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[2,3,7,5,4,1,8,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[7,8,1,5,4,2,6,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,5,4,1,6,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[7,8,2,5,4,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,2,4,7,1,8]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[6,4,2,1,7,3,8,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,7,5,8,6,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[4,2,7,1,8,3,6,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[3,2,6,7,4,8,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,4,7,2,6,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,7,6,5,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,7,6,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,7,6,5,2,4,8,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,7,6,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,7,6,3,8,4,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[4,7,6,5,2,1,3,8]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[4,7,6,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[4,7,6,5,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[1,7,6,5,2,8,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,7,6,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,7,6,5,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[5,1,6,2,4,7,8,3]=>[1,6,2,4,7,8,3,5]=>[1,4,5,6,8,2,7,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[4,1,8,2,6,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,2,6,7,4,8,5,3]=>[1,2,6,7,3,4,8,5]=>[1,2,4,7,8,6,3,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[4,7,6,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[4,7,1,2,5,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[3,7,6,5,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,7,6,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,7,6,5,8,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,6,5,8,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,7,6,5,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,6,5,8,1,3,4]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[2,7,6,5,8,4,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[6,3,2,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[4,2,1,7,3,5,8,6]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,1,5,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,7,4,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,7,2,5,3,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[2,7,5,4,1,3,8,6]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[7,5,4,3,2,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,1,8,4,3,7]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[4,6,3,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,7,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,7,6,2,4,8,3,5]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[2,7,3,6,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,7,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,1,8,5,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[5,8,1,6,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[1,8,6,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[1,8,6,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,8,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,8,5,7,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[1,8,5,7,2,4,6,3]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[3,8,6,1,7,2,5,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[5,8,4,6,7,1,3,2]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[7,2,8,5,6,1,4,3]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,3,7,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,2,6,8,4,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[3,6,5,8,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,5,4,8,3,2,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[8,4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,2,5,8,1,4,3,7]=>[1,4,2,5,8,3,7,6]=>[1,4,7,2,5,8,6,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,3,6,8,2,1,5,7]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,5,1,8,4,2,7]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[8,4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[6,4,2,5,8,3,1,7]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,4,1,6,8,2,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[6,5,2,1,7,8,3,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[6,3,7,4,8,5,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,7,2,5,8,6,3,1]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[6,3,1,8,4,7,5,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[6,5,3,8,7,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[8,5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[5,4,8,1,7,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,2,8,1,7,3,6,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,4,8,2,1,7,5,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[3,6,8,1,4,7,5,2]=>[1,4,7,2,3,6,8,5]=>[1,3,6,4,8,7,2,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,4,7,8,1,5,3,2]=>[1,5,2,3,4,7,8,6]=>[1,3,4,5,2,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[8,3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,8,7,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,7,3,8,6,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[7,5,8,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,8,7,3,6,4,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,8,7,6,2,5,3,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[3,8,7,6,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,8,7,6,5,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[3,2,1,4,5,6,7,8,9]=>[1,4,5,6,7,8,9,2,3]=>[1,3,9,4,5,6,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]]
[5,6,7,8,1,2,3,4,9]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[7,8,5,6,3,4,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[7,6,5,4,3,2,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[8,6,9,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[7,8,9,4,5,6,1,2,3,10]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]
[8,7,6,5,4,3,2,1,9,10]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]
[3,6,5,1,2,4,8,7]=>[1,2,4,8,3,6,5,7]=>[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[3,7,5,8,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,5,7,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,1,2,6,4,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,1,2,5,4,3,8,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[5,1,2,4,6,3,8,7]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,1,2,6,5,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,1,5,7,8,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[4,1,5,8,7,3,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[4,7,1,8,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[7,5,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,1,5,8,7,3,4,6]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[4,1,8,7,5,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[4,7,1,6,3,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,1,2,3,7,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,1,2,3,5,8,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[6,8,1,4,3,7,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,1,7,3,4,8,6,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[7,8,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,7,1,4,3,8,2,5]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[7,1,2,3,6,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[8,1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[8,1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,1,8,5,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[7,8,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,8,2,7,3,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,7,2,8,3,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[3,8,7,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,7,8,1,4,2,6,5]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,6,8,1,4,2,7,5]=>[1,4,2,7,3,6,8,5]=>[1,4,6,2,8,7,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[3,5,7,8,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,6,7,1,4,2,8,5]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[8,1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,8,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,7,3,2,4,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[8,7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,1,2,3,5,6,8,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[6,1,2,3,8,7,4,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,1,2,3,7,8,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[5,1,2,3,8,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[5,1,2,3,8,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,1,2,3,5,8,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[8,6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,1,6,3,4,8,7,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,6,2,4,3,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,1,2,3,5,7,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[5,1,2,3,6,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[1,2,8,5,4,7,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[1,3,8,5,4,2,7,6]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[1,3,6,8,4,7,5,2]=>[1,3,6,8,2,4,7,5]=>[1,4,3,7,8,6,5,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[3,4,8,5,7,6,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[7,5,1,2,4,3,6,8]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[7,1,4,2,6,3,5,8]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,6,4,2,8,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,6,3,8,5,4,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,8,1,7,3,5,4,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,1,3,6,5,4,2,8]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,3,1,6,5,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,3,6,5,1,4,8]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[7,1,2,3,6,5,4,8]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,8,1,2,7,3,5,4]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,5,8,2,7,6,3,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[5,1,8,2,7,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[5,8,2,7,6,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,2,8,1,7,3,5,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,8,2,1,7,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,1,8,7,6,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,5,3,8,7,4,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,5,3,8,7,4,6]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[2,4,8,7,6,5,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,5,3,8,7,1,6,4]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[2,5,8,4,1,7,6,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,8,7,1,4,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,3,8,4,1,7,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,8,7,6,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[4,3,8,7,6,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,3,1,8,7,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,8,3,7,6,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,1,3,8,7,6,2,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,3,8,7,6,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,5,8,4,7,2,6,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,7,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,8,5,1,2,4,7,3]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[5,6,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[5,6,2,4,3,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[5,6,1,2,4,3,8,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,5,8,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[4,5,8,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,3,2,5,8,7,4,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[3,5,1,8,7,2,6,4]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,5,8,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,5,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[3,2,5,8,7,1,6,4]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,4,8,7,6,5,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,3,4,8,7,6,2,5]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[3,4,8,7,6,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[4,5,8,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,3,5,8,7,4,6]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,2,7,5,8,6,4,3]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,8,1,3,7,5,2,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,7,8,1,2,6,5,4]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[2,8,1,6,7,3,5,4]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,6,8,3,7,1,5,4]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[6,8,3,4,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,3,7,4,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,6,8,3,7,2,5,4]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[8,3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[8,5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,4,6,8,2,7,5,3]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,6,5,8,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,8,4,5,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[5,8,7,3,6,1,2,4]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,3,8,2,7,5,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,4,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,4,5,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,7,2,3,6,1,4]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.