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]=>[.,[[[.,.],[.,[.,.]]],.]]
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[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]=>[.,[[[.,.],[[.,.],.]],.]]
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[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
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[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]=>[.,[[[[.,[.,.]],.],.],.]]
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[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
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[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]=>[.,[[[.,[.,.]],[.,.]],.]]
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[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]=>[.,[[[.,[.,.]],[.,.]],.]]
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[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
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[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]=>[.,[[.,[[.,.],.]],[.,.]]]
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[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[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]=>[.,[.,[[.,[.,[.,.]]],.]]]
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[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]=>[.,[[.,[.,[.,[.,.]]]],.]]
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[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]=>[.,[[.,[.,[[.,.],.]]],.]]
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[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
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[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]=>[.,[.,[[[.,[.,.]],.],.]]]
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[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]=>[.,[[.,[.,[[.,.],.]]],.]]
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[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]=>[.,[[[[.,.],[.,.]],.],.]]
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[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]=>[.,[.,[[.,[.,[.,.]]],.]]]
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[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]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
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[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]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
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[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]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
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[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]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
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[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]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
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[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]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
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[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]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
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[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]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
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[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,2,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,2,3,4,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,4,1,2]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
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
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