Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ 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]=>[.,[.,[[[.,.],.],[.,.]]]]
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[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,.]]]]
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[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,.]]]]
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[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]=>[.,[[.,.],[.,[[.,.],.]]]]
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[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]=>[.,[[[.,.],.],[[.,.],.]]]
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[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[1,4,6,5,2,3]=>[.,[[.,[.,.]],[[.,.],.]]]
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[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]=>[.,[[[.,[.,.]],.],[.,.]]]
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[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
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[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]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
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[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
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[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]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[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]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
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[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]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[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]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[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]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[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]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
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[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
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[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
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[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
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[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]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
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[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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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[2,3,4,6,1,5,7]=>[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]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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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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[2,3,5,4,7,6,1]=>[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
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[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]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
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[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]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
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[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[2,3,7,6,1,4,5]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,4,7,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,4,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,7,5,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
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[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
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[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
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[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[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]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
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[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]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
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[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
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[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
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[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
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[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[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]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
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[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
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[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
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[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[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]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,5,7,4,8,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,5,4,6,8,3,2,1]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,4,6,7,3,8,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,3,4,8,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,6,4,3,5,8,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,3,4,5,7,8,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,3,5,6,7,8,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,2,4,5,6,1]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,6,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,4,5,7,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,7,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[5,4,6,3,7,2,8,1]=>[1,2,8,3,7,4,6,5]=>[1,2,7,6,8,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[7,6,5,4,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,3,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,4,3,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[3,4,5,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,2,3,4,6,7,8,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[4,3,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[3,4,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,2,3,5,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,2,4,5,6,7,8,1]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,3,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,3,4,6,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,4,3,5,6,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,6,7,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,7,3,8,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[5,4,6,7,3,8,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,3,7,8,1,2]=>[1,2,3,7,8,4,6,5]=>[1,2,3,6,8,5,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[5,6,3,4,7,8,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,4,3,5,7,8,1,2]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[6,3,4,5,7,8,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[4,5,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[4,3,5,6,7,8,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,5,4,2,1,3]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,1,2,3]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,8,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[7,5,6,8,3,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,7,8,2,1,3,4]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,7,8,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,8,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,8,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,3,4,2,5,1,6]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,8,5,4,2,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,5,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,5,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,3,4,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,4,2,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,2,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[8,5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[8,6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[8,2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[8,2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,7,5,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,3,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,2,4,1,8]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,6,7,3,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,2,5,1,8]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,4,5,2,3,6,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,3,4,2,7,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[5,4,3,2,6,7,1,8]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[2,3,4,5,6,7,1,8]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,7,4,2,1,3,8]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,4,5,6,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[5,4,6,7,1,2,3,8]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,3,1,2,4,8]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,5,7,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,6,4,3,2,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,1,2,3,4,5,8]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,5,3,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,5,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,3,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,7,4,5,6,8,3]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[7,2,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,4,3,2,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,2,3,5,6,1,7,8]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[2,3,4,5,6,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,4,3,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,4,6,2,1,3,7,8]=>[1,3,7,8,2,4,6,5]=>[1,4,3,6,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[4,5,6,1,2,3,7,8]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,4,3,1,2,5,7,8]=>[1,2,5,7,8,3,4,6]=>[1,2,4,6,5,8,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,4,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[6,2,3,1,4,5,7,8]=>[1,4,5,7,8,2,3,6]=>[1,3,6,4,5,8,7,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,1,2,3,4,5,7,8]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,4,3,2,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[4,5,2,3,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,2,3,4,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[2,3,4,5,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,3,1,2,4,6,7,8]=>[1,2,4,6,7,8,3,5]=>[1,2,5,4,8,6,7,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[5,1,2,3,4,6,7,8]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[3,4,1,2,5,6,7,8]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,2,1,4,5,6,7,8]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[3,1,2,4,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[4,7,6,5,8,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,7,6,8,5,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,8,7,6,4,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[3,5,6,8,7,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[3,5,6,7,8,4,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[3,4,5,8,7,6,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,3,6,5,8,7,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[5,7,6,4,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,7,8,6,5,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,5,6,7,8,4,3,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[2,4,8,7,6,5,3,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,4,6,8,7,5,3,1]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[2,7,6,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[2,3,5,6,8,7,4,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[2,3,5,6,7,8,4,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[4,3,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,2,4,8,7,6,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,4,3,2,8,7,6,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,3,2,7,8,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,5,4,3,8,7,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,5,4,3,7,8,6,1]=>[1,2,5,3,7,8,4,6]=>[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[2,4,5,3,7,8,6,1]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[3,4,2,5,7,8,6,1]=>[1,2,5,7,8,3,4,6]=>[1,2,4,6,5,8,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[2,5,4,3,6,8,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,4,3,5,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[2,5,4,7,6,3,8,1]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,5,4,6,7,3,8,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,4,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[2,4,3,7,6,5,8,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[3,2,4,7,6,5,8,1]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,4,3,2,7,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,5,2,7,6,8,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,5,4,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,2,5,4,7,6,8,1]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,5,4,3,6,7,8,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,6,8,7,5,4,3,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,6,8,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[1,5,8,7,6,4,3,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,7,6,5,8,4,3,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,3,5,7,8,6,4,2]=>[1,3,5,7,8,2,4,6]=>[1,4,3,6,5,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[1,3,6,5,7,8,4,2]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]=>[1,4,3,8,5,6,7,2]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[1,4,3,8,7,6,5,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,4,3,7,8,6,5,2]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[1,4,3,7,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,3,4,7,6,8,5,2]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,5,6,4,3,8,7,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,4,3,6,5,8,7,2]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,5,4,3,6,7,8,2]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,4,3,5,6,7,8,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,6,7,8,5,4,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[2,1,6,5,8,7,4,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,1,7,6,5,8,4,3]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,6,7,5,8,4,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,6,5,7,8,4,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,6,7,8,4,3]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,1,4,5,8,7,6,3]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,4,5,7,8,6,3]=>[1,4,5,7,8,2,3,6]=>[1,3,6,4,5,8,7,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[2,1,6,5,7,4,8,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,5,4,7,6,8,3]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,4,5,6,7,8,3]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,2,6,7,8,5,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[1,2,4,8,7,6,5,3]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,2,4,7,8,6,5,3]=>[1,2,4,7,8,3,5,6]=>[1,2,5,4,6,8,7,3]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,8,3,5]=>[1,2,5,4,8,6,7,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[1,2,6,5,4,7,8,3]=>[1,2,6,3,4,7,8,5]=>[1,2,4,6,8,3,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,2,5,6,4,7,8,3]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
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[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
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[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
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[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
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[2,4,3,6,5,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
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[3,2,5,4,6,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,3,4,5,6,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,6,4,3,8,7]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,4,6,5,3,8,7]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,5,4,6,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,4,5,6,3,8,7]=>[1,4,5,6,2,3,8,7]=>[1,3,6,4,5,2,8,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,3,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[3,4,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,3,4,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,1,4,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[5,4,3,2,1,6,8,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,4,1,5,6,8,7]=>[1,5,6,8,2,4,3,7]=>[1,4,7,3,5,6,8,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[2,1,3,4,5,6,8,7]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,7,6,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,4,7,6,5,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,2,7,6,5,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,2,6,7,5,4,1,8]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,5,4,2,7,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,2,5,4,7,6,1,8]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,3,4,5,7,6,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,6,7,5,4,3,8]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,2,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,2,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,4,1,7,6,5,8]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,4,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,4,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,4,3,2,7,6,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,2,1,4,7,6,5,8]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,3,2,1,7,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,3,2,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,4,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,2,4,6,5,3,7,8]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,2,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,4,1,6,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,2,3,5,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,3,8,5,7,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,2,3,8,6,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,4,5,8,6,7,3]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,2,4,8,6,5,7,3]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[1,2,6,4,5,7,8,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,8,5,4,6,7,3]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,3,2,8,6,5,7,4]=>[1,3,2,8,4,5,7,6]=>[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,3,7,4,5,6,2,8]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,3,8,5,4,6,7,2]=>[1,3,8,2,4,6,7,5]=>[1,4,3,6,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[1,3,8,5,6,7,4,2]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,3,8,6,5,7,4,2]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,5,3,4,6,7,8,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,8,5,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,8,7,4,5,6,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,6,5,3,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,8,6,5,4,7,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,8,7,5,4,6,3,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,8,7,5,6,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,3,8,5,7,6,4]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,1,4,3,8,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,4,5,8,6,7,3]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,7,4,6,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,8,5,4,7,6,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[2,3,6,4,5,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,5,3,4,8,6,7,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[2,8,3,4,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,3,5,4,7,6,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[2,8,3,5,7,6,4,1]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,5,4,3,8,6,7,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,4,3,5,7,6,1]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,2,1,5,8,6,7,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,1,7,5,6,4,8]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,2,1,7,5,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,8,5,7,6,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,4,1,8,6,7,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,7,4,6,5,8,1]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,2,7,5,4,6,1,8]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,2,3,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,2,3,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[4,2,3,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,3,7,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,3,4,6,5,1,8]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,2,3,6,5,4,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,2,4,3,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,2,4,3,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,2,4,3,6,1,7,8]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[5,2,4,3,6,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,2,4,3,7,6,8,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,2,4,3,6,5,8,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,7,5,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,2,8,5,7,6,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,3,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[8,3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,4,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,3,6,5,4,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,4,3,2,8,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,6,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,4,3,6,8,5,7]=>[1,4,2,3,6,8,5,7]=>[1,3,4,2,7,6,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,1,4,6,3,8,5,7]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,1,6,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,4,6,1,8,3,5,7]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,6,8,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,1,6,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,1,3,6,7,8,5]=>[1,3,6,7,8,2,4,5]=>[1,4,3,5,8,6,7,2]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]=>[1,4,7,3,8,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,1,4,3,7,5,8,6]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[2,4,1,3,7,5,8,6]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,1,4,3,7,8,5,6]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[2,4,7,1,3,8,5,6]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,4,7,8,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,1,5,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,1,4,5,7,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,4,5,7,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,1,4,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,1,5,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,1,4,5,8,3,6,7]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,1,5,3,6,8,7]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[2,4,1,5,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,3,6,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[2,5,6,8,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,5,1,6,7,3,4,8]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,5,1,6,7,3,8,4]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,5,6,7,8,3,4]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,5,6,1,7,8,3,4]=>[1,7,8,2,5,6,3,4]=>[1,5,4,8,6,3,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,1,5,7,3,8,4,6]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[2,5,7,1,8,3,4,6]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,3,5,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,5,6,1,7,8,4]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,6,3,7,4,8,5]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,1,3,7,4,8,5]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,6,7,1,3,4,8,5]=>[1,3,4,8,2,6,7,5]=>[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,1,6,7,8,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[2,6,7,8,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,1,6,3,7,4,5,8]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,3,1,6,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,6,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,3,6,7,8,4,5]=>[1,3,6,7,8,2,4,5]=>[1,4,3,5,8,6,7,2]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[2,3,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[2,1,6,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,1,6,8,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,6,1,8,4,5,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,6,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,3,6,1,4,5,8,7]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,3,4,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,6,1,3,4,5,7,8]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,3,4,6,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,4,6,7,8,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,8,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,7,8,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[2,3,1,7,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,3,7,1,4,8,5,6]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[2,3,4,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,4,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,3,4,7,1,8,5,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,7,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,4,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,5,7,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,4,5,7,8,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,8,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,3,8,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,4,5,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,5,8,1,6,7]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,4,5,6,8,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,4,2,6,5,8,7]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[3,4,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,1,4,6,8,2,5,7]=>[1,4,6,8,2,5,7,3]=>[1,5,8,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[3,4,6,8,1,2,5,7]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,4,6,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,1,4,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[3,4,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[3,4,6,1,2,7,8,5]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[3,4,6,7,1,2,8,5]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,1,4,2,7,5,8,6]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,4,7,8,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,4,5,7,1,2,8,6]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,1,4,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,1,5,8,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,1,4,2,5,6,7,8]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,1,4,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[3,4,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[3,4,5,6,7,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,5,6,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,1,2,6,8,4,7]=>[1,2,6,8,3,5,4,7]=>[1,2,5,7,4,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[3,5,6,8,1,2,4,7]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,6,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,6,1,7,2,8,4]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,5,6,1,7,8,2,4]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[3,5,6,7,8,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,5,2,7,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,1,5,7,2,8,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,5,1,7,2,8,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,3,2,5,8,4,6,7]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,3,5,2,6,7,4,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]=>[1,4,3,8,5,6,7,2]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[3,1,6,2,7,4,8,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,6,1,7,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,6,7,1,2,8,4,5]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[3,6,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[3,6,7,8,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,1,6,2,7,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,1,6,7,2,4,5,8]=>[1,6,7,2,4,5,8,3]=>[1,4,8,5,7,6,2,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[3,6,1,2,4,7,5,8]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,6,7,4,8,5]=>[1,2,6,7,3,4,8,5]=>[1,2,4,7,8,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[3,1,6,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,1,6,8,2,4,5,7]=>[1,6,8,2,4,5,7,3]=>[1,4,8,5,7,6,3,2]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,6,2,4,5,8,7]=>[1,6,2,4,5,8,3,7]=>[1,4,7,5,6,2,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,1,6,2,4,5,7,8]=>[1,6,2,4,5,7,8,3]=>[1,4,8,5,6,2,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,4,6,7,8,5]=>[1,2,4,6,7,8,3,5]=>[1,2,5,4,8,6,7,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[1,3,4,6,7,2,8,5]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,7,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,7,4,5,6,8,3]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,2,4,8,5,6,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,3,4,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,1,2,4,5,8,6,7]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,5,1,2,6,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,5,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,5,1,6,2,8,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[4,5,6,1,2,8,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,1,5,6,8,2,3,7]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,5,6,8,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,5,6,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,5,6,7,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,5,6,7,8,2,3]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,5,2,7,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,5,1,7,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,1,5,2,7,8,3,6]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[4,1,5,7,2,8,3,6]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,5,1,7,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,5,7,8,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,6,5,8,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,2,5,7,3,6,8]=>[1,2,5,7,3,6,8,4]=>[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,5,2,7,3,8,6]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,5,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,2,5,6,3,8,7]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,1,2,5,6,7,8,3]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[4,1,6,2,7,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,6,7,8,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,2,3,7,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,2,6,7,3,8,5]=>[1,2,6,7,3,8,4,5]=>[1,2,7,5,8,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,1,6,2,8,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,2,6,3,8,5,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,2,3,6,5,8,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[4,1,2,3,6,8,5,7]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,6,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,1,2,3,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,2,3,6,7,5,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,1,2,3,6,7,8,5]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,8,3,5]=>[1,2,5,4,8,6,7,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[4,1,7,2,8,3,5,6]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,7,1,2,8,3,5,6]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[4,1,7,8,2,3,5,6]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,1,2,3,7,8,5,6]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[4,1,7,2,3,5,6,8]=>[1,7,2,3,5,6,8,4]=>[1,3,5,8,6,7,2,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[4,7,1,2,3,5,6,8]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,1,2,3,5,7,6,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,2,3,5,7,8,6]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[1,2,4,5,7,3,8,6]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[4,8,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,2,8,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,1,2,3,5,8,6,7]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,2,3,5,6,8,7]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[5,6,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,6,1,2,3,7,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[5,6,8,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,5,2,3,6,4,7,8]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,2,5,3,6,7,4,8]=>[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[5,1,2,3,6,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[1,5,2,3,6,7,8,4]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[5,7,8,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,1,2,7,3,4,8,6]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[5,7,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,5,2,3,7,4,6,8]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,1,2,8,3,4,6,7]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,5,8,2,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,1,2,3,8,4,6,7]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,1,2,3,4,6,8,7]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,7,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,1,2,3,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,1,7,2,3,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,2,7,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,1,2,3,4,7,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,8,5]=>[1,2,4,6,8,3,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,2,8,3,4,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,6,2,8,3,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,6,8,2,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,1,2,3,4,5,8,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,7,8,2,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,7,2,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,1,2,3,4,8,5,6]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,3,2,5,4,8,1,6]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,6,5,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,5,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,8,4,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,3,7,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,7,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,8,1,6,7,4,5,2]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,6,8,4,2,5]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,7,6,1,8,3,2,5]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,3,2,6,8,4,1,5]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,3,2,7,8,1,4,5]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[5,3,2,7,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,2,8,1,7,6,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,3,2,8,7,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,3,2,8,6,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,8,2,7,1,5,3]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,4,8,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,5,1,8,2,7,6,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,7,1,8,6,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,7,5,4,1,3,2]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,1,4,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>[1,3,4,2,6,5,8,7,10,9]=>[.,[[.,.],[.,[[.,.],[[.,.],[[.,.],.]]]]]]
[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,6,5,4,3,8,7,2,1]=>[1,2,3,8,4,5,6,7,9,10]=>[1,2,3,5,6,7,8,4,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,4,3,2,1,10,9,8,7]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,4,3,8,7,6,5,2,1]=>[1,2,3,8,4,5,6,7,9,10]=>[1,2,3,5,6,7,8,4,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[4,3,2,1,10,9,8,7,6,5]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>[1,2,5,4,6,8,7,3]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[7,3,5,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[6,2,8,1,3,4,5,7]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,2,6,7,1,3,4,8]=>[1,3,4,8,2,6,7,5]=>[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[5,3,6,7,1,2,4,8]=>[1,2,4,8,3,6,7,5]=>[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[6,2,5,7,1,3,4,8]=>[1,3,4,8,2,5,7,6]=>[1,5,3,4,7,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,3,5,7,1,2,4,8]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[4,2,6,8,1,3,5,7]=>[1,3,5,7,2,6,8,4]=>[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,3,6,8,1,2,5,7]=>[1,2,5,7,3,6,8,4]=>[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[6,2,4,8,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[6,3,5,8,1,2,4,7]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[3,2,7,8,1,4,5,6]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,8,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,8,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,8,2,7,1,4,5,6]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,8,3,7,1,2,5,6]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,3,7,1,2,4,6]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,8,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,8,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,3,2,7,1,4,6,8]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,3,2,8,1,5,6,7]=>[1,5,6,7,2,8,3,4]=>[1,7,4,8,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,4,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[6,5,4,8,1,2,3,7]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[7,4,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,7,2,4,8,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,7,3,6,8,1,2,5]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[6,7,3,4,8,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,8,3,5,7,1,2,6]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[5,8,4,6,7,1,2,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[6,8,2,5,7,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,8,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,3,2,7,8,1,5,6]=>[1,5,6,2,7,8,3,4]=>[1,6,4,8,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,7,2,6,1,5,8]=>[1,5,8,2,6,3,7,4]=>[1,6,7,8,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,3,7,2,5,1,4,8]=>[1,4,8,2,5,3,7,6]=>[1,5,7,4,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,4,7,2,5,1,3,8]=>[1,3,8,2,5,4,7,6]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>[1,5,3,7,4,8,2,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,8,2,7,1,5,6]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,5,8,2,7,1,3,4]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,3,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[8,6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,2,3,8,7,4,6]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,1,2,8,7,3,5,6]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[4,1,2,7,6,3,8,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,6,3,8,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,1,8,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,1,4,2,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,4,2,8,3,6,7]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,1,4,2,7,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,4,2,8,7,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,1,4,2,6,7,8,3]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,1,8,5,2,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,1,4,5,2,7,8,3]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[3,1,7,5,6,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6,8]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,5,6,2,8,3]=>[1,4,5,6,2,8,3,7]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,1,4,5,8,7,2,6]=>[1,4,5,8,2,6,3,7]=>[1,6,7,4,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,1,8,5,6,7,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,4,1,8,6,3,5,7]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,3,1,2,4,5,8,6]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,8,1,2,3,7,4,6]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[7,4,1,2,6,3,8,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,2,6,3,8,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,1,2,6,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,5,2,3,8,4]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,5,2,8,3,7]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,3,1,7,6,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,1,5,8,7,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,3,1,8,6,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,3,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,3,8,1,6,7,4,5]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,6,4,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,7,5,1,3,4,8,6]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,8,4,1,6,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[2,8,4,1,7,3,5,6]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,7,4,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,7,5,1,6,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,5,4,1,8,7,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,4,1,6,7,3,5]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,3,4,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,3,5,1,2,4,8,6]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,8,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,1,2,3,8,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,7,5,1,2,3,8,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,1,2,7,3,5]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,8,5,1,2,7,3,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,2,7,8,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[8,5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,5,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,3,4,1,8,7,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[8,5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,4,1,6,7,8,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[2,3,4,8,1,7,5,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,3,7,6,1,4,8,5]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[2,3,8,5,1,7,4,6]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[2,3,8,6,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,8,4,6,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,7,4,8,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,7,4,6,1,3,8,5]=>[1,3,8,2,7,4,6,5]=>[1,7,3,6,8,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,7,8,5,1,3,4,6]=>[1,3,4,6,2,7,8,5]=>[1,6,3,4,8,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,7,8,6,1,3,4,5]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[2,7,6,5,1,3,8,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,4,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,8,4,5,1,7,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,8,6,5,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,3,8,5,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,3,8,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,6,4,5,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,4,5,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,5,1,7,8,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,3,4,8,6,1,5,7]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[2,3,4,7,6,1,8,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,3,8,5,6,1,4,7]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[2,3,8,5,7,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,3,8,7,6,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,3,7,5,6,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,8,4,5,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,8,4,5,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,8,7,5,6,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,4,5,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[8,3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,3,4,5,6,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,5,8,7,1,6]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,8,5,6,7,1,4]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,8,4,5,6,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,1,2,3,4,5,6,9,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[9,1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7,9]=>[1,2,3,4,5,7,8,6,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[7,1,2,3,4,5,8,9,6]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,7,9,8,6]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]
[8,1,2,3,9,4,5,6,7]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,4,5,6,7,8,9,2]=>[1,4,5,6,7,8,9,2,3]=>[1,3,9,4,5,6,7,8,2]=>[.,[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7,9]=>[1,2,3,5,6,7,8,4,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[2,3,4,5,6,7,9,1,8]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,5,2,7,4,8,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,7,3,2,8,6,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,5,7,1,3,8,2,6]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,5,1,7,4,8,2,6]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,1,5,7,4,8,3,6]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,5,7,4,8,6,3]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,7,1,3,8,6,2]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,3,8,5,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[4,6,7,3,8,5,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,6,7,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,2,7,8,4,1,5]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[3,6,2,7,8,1,4,5]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[3,5,2,7,1,8,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,5,2,7,1,8,6,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,6,2,7,8,1,5,4]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[3,6,2,7,8,5,1,4]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,6,7,2,8,5,3,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[4,6,7,2,8,5,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,5,7,1,2,8,6,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,1,5,7,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,1,7,8,5,2,4]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,5,6,3,2,1,9,10,8,7]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,6,7,4,5,1,8,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,6,7,4,5,2,3,8]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,5,4,7,6,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,5,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,8,3,7,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,3,4,8,6,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[4,3,5,6,8,7,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,2,5,6,8,1,7,3]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[5,2,4,8,6,1,7,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,8,2,4,5,1,6,3]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,8,4,5,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,1,4,8,6,2,3,7]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[4,1,3,2,8,6,5,7]=>[1,3,2,8,4,5,7,6]=>[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,8,3,2,5,4,7]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,8,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,2,3,8,1,6,7,4]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,5,3,7,1,6,8,4]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,7,3,2,5,4,8]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,6,7,3,1,5,8,4]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,4,1,8,7,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,8,3,1,2,6,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,8,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,1,3,8,5,7,6]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,2,1,8,3,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,3,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,6,5,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,5,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,1,5,2,8,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,1,7,5,3,8,4,6]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,8,5,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,4,7,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,4,7,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,5,1,8,2,7,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,1,6,8,7,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,7,8,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,7,6,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,4,7,5,3,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,4,7,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[6,4,7,2,5,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,4,2,7,6,1,3,8]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,4,8,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,4,2,6,7,1,8,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,4,2,6,7,1,3,8]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,8,4,2,5,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,8,4,2,5,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,2,8,1,6,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,3,2,7,1,6,4,8]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,7,2,1,8,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,5,8,7,2,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,1,8,4,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,3,7,2,1,4,8,5]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,3,7,2,1,4,5,8]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[5,4,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,8,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,2,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,8,2,1,4,7,5]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,8,1,4,6,2,5,3]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,1,8,4,7,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,6,8,4,7,2,5,3]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,3,1,2,6,5,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,3,6,5,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,8,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,6,8,2,3,7,5,4]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[5,2,1,8,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[3,6,8,4,7,5,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[2,6,8,4,7,1,5,3]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,5,1,8,3,7,6,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,3,8,1,7,6,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,5,4,8,7,1,6,3]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,2,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,8,1,2,7,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,3,8,2,7,6,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,5,3,8,2,7,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,5,8,7,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,1,5,8,7,2,6,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,4,5,8,7,2,6,3]=>[1,4,5,8,2,6,3,7]=>[1,6,7,4,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,6,8,1,2,7,5,4]=>[1,2,7,3,6,8,4,5]=>[1,2,6,5,8,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,6,8,7,4,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,2,5,8,1,7,6,4]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,2,5,8,7,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[2,4,5,8,7,1,6,3]=>[1,6,2,4,5,8,3,7]=>[1,4,7,5,6,2,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,1,6,2,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,7,1,4,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,2,8,1,4,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,2,8,1,4,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,2,7,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,1,8,3,5,4,7,6]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,1,8,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,1,8,2,5,3,7,6]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,7,1,5,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,1,5,2,7,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,1,4,2,7,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,2,6,4,8,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,3,2,7,4,8,5]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[4,1,3,2,7,5,8,6]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,1,4,3,8,5,7,6]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,1,3,2,8,5,7,6]=>[1,3,2,8,4,5,7,6]=>[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,3,2,8,4,7,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,1,3,2,8,4,7,5]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,8,1,3,2,6,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,1,4,2,8,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,1,5,2,8,3,7,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,1,6,2,8,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[6,1,5,2,8,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,7,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,7,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,4,2,5,8,3,1,6]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,5,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,1,5,6,3,8,2,7]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,4,5,3,8,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,7,1,5,8,3,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,3,7,8,1,4,2,6]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,5,8,2,4,6,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,1,6,7,3,8,4,2]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,4,7,1,8,3,5,2]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,3,8,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,8,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,5,3,4,6,2,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[5,7,3,1,8,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,4,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,7,2,8,4,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[3,6,7,2,8,4,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[5,7,3,8,2,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,8,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,7,8,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,7,2,8,5,1,4]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,6,7,8,5,2,1,4]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[3,6,7,8,5,2,4,1]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[6,4,7,8,2,5,3,1]=>[1,2,5,3,4,7,8,6]=>[1,2,4,5,3,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[6,4,7,8,2,1,5,3]=>[1,5,2,3,4,7,8,6]=>[1,3,4,5,2,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[4,1,5,7,8,2,6,3]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,7,2,8,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,4,7,1,8,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,5,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,2,4,5,8,3,6,1]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,3,7,2,1,8,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,4,5,8,3,2,6,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[4,3,6,7,2,8,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[4,3,6,7,2,8,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[1,4,3,6,7,2,8,5]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[4,3,6,7,8,1,5,2]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,6,4,7,8,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[3,6,7,1,4,8,5,2]=>[1,4,8,2,3,6,7,5]=>[1,3,6,4,8,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,2,4,1,7,8,5,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,5,3,6,7,8,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,8,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,7,1,3,8,4,6]=>[1,3,8,2,7,4,6,5]=>[1,7,3,6,8,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[4,2,6,7,8,3,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,4,8,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,2,7,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[1,7,3,4,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,4,2,1,3,6,5]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,7,8,5,2,3,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[2,6,4,7,8,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,1,5,8,6,2,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,8,2,1,6,3,4]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,2,7,1,3,8,5,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,2,6,7,8,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[5,2,6,7,8,4,3,1]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,8,3,4]=>[1,5,4,8,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[2,6,7,1,3,8,5,4]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,8,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,4,7,8,5,3,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[4,5,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,4,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,2,6,7,4,5,1,8]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[4,7,2,6,5,3,1,8]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,7,6,2,4,3,1,8]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,8,6,2,4,1,3,7]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,8,2,6,5,1,3,7]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,1,5,4,2,8,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,6,7,4,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,1,6,8,4,2,5,3]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,1,7,8,2,4,5,3]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[3,2,8,7,1,5,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,8,2,7,1,5,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[5,8,7,2,1,4,3,6]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[6,8,7,1,2,4,3,5]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,8,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,7,6,8,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[8,6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,8,1,3,2,4,5]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,5,8,3,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[1,4,3,7,8,5,6,2]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[8,4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,5,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,2,5,4,8,1,6,7]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,5,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,5,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,7,1,8,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,6,8,7,3,5,4,2]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,7,8,6,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,1,6,5,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,8,1,2,7,6,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,1,8,7,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,8,6,5,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,6,5,8,7,4]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,2,3,8,7,5]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,6,5,8,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,7,5,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,8,3,6,5]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[1,4,3,8,7,5,6,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,8,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,1,2,7,3,6,5]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,1,8,2,7,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,6,8,7,3,4,5,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,8,7,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,8,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,5,1,6,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[3,2,5,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,2,5,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,5,3,7,1,8,6]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,5,3,6,1,8,7]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,2,5,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,1,5,4,6,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,3,5,1,6,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,3,6,1,7,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,1,5,4,7,6,8,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,5,3,7,6,8,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,5,1,7,6,8,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,1,7,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,3,6,4,7,2,8,1]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,1,6,3,7,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,6,3,7,5,8,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,1,6,4,7,5,8,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,6,4,7,5,8,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,1,6,4,7,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,6,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[5,1,6,3,7,2,8,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[5,3,6,1,7,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[5,3,6,2,7,4,8,1]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,2,6,3,7,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,6,3,7,1,8,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,2,5,1,7,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,2,6,3,7,1,8,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,2,4,1,7,5,8,6]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,4,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,2,6,5,7,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,2,6,5,7,3,8,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,2,6,5,7,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,2,6,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,2,5,1,7,6,8,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,1,5,2,7,6,8,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,1,5,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,6,3,7,5,8,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,1,6,2,7,5,8,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,6,2,7,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,1,6,2,7,4,8,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,2,6,4,7,3,8,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[5,4,6,2,7,1,8,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,1,6,4,7,2,8,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,6,5,7,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,1,6,5,7,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,1,6,5,7,4,8,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,6,1,7,3,8,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,7,5,2,4,1,8,6]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5,8]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,7,4,3,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,6,7,3,2,8,5]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[5,4,7,3,1,8,2,6]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,7,4,5,3,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,7,5,1,4,2,8,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,7,4,2,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,3,8,7,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[3,6,5,8,7,4,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[3,1,5,8,6,7,4,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,6,4,1,8,7,5,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,7,6,8,1,4,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,7,1,6,4,8,2,5]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,7,3,5,6,8,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,3,6,7,5,8,2,4]=>[1,3,6,7,2,4,5,8]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,7,6,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[3,6,8,5,7,2,4,1]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[2,3,5,7,6,8,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,6,8,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,2,6,8,7,3,5,1]=>[1,2,6,8,3,5,4,7]=>[1,2,5,7,4,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[3,8,2,4,6,7,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[3,7,2,6,4,8,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,4,8,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,7,8,5,6,4,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[8,2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,7,2,5,8,6,4,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,7,8,6,1,3,5,4]=>[1,3,5,2,7,8,4,6]=>[1,5,3,6,2,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[8,7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,6,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,1,4,5,7,3,2]=>[1,4,5,7,2,3,6,8]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,7,4,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[8,1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[2,1,8,7,5,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,6,8,5,7,3,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,6,1,4,5,8,3,2]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,5,8,4,7,6,1,3]=>[1,3,2,5,8,4,7,6]=>[1,3,2,7,5,8,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,8,4,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,1,5,8,4,6,7,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,4,8,3,6,7,5]=>[1,4,8,2,3,6,7,5]=>[1,3,6,4,8,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,8,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[3,8,2,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,8,1,3,5,6,7,4]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,8,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,8,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,8,4,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,5,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,3,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,5,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,5,3,8,6,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[3,5,8,4,7,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,8,2,4,7,6,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,5,8,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,1,6,4,5,8,2,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,7,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,7,6,5,8,3,4]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,8,4,1,5,6,7,3]=>[1,5,6,7,2,8,3,4]=>[1,7,4,8,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,1,8,5,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,8,6,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,7,2,4,5,8,3,1]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,1,7,4,8,6,3,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,7,5,4,8,6,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,2,5,1,6,8,4,7]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,6,2,5,4,8,1,7]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,5,8,2,4,7,6,1]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[4,2,5,8,3,7,6,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,4,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,6,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,6,4,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,4,3,8,2,7,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,3,7,6,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,4,3,1,7,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,5,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,8,5,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,4,5,8,7,3,6,2]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,5,4,8,7,3,6,2]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[6,4,3,8,1,7,5,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,7,1,8,6,5,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,8,3,7,6,5,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[5,3,8,7,6,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,5,3,7,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,2,8,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,3,1,6,8,4,2,5]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,7,1,6,3,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,1,7,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,2,8,7,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,6,3,8,7,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,2,7,6,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,7,2,6,3,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,3,6,2,4,1,8,5]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,7,2,1,4,8,5]=>[1,4,8,2,3,6,7,5]=>[1,3,6,4,8,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[1,3,6,8,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[8,3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,8,2,5,7,1,6,4]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,8,3,6,2,1,5,4]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,8,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,1,5,7,2,6,3]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,8,2,7,6,4,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,2,8,7,5,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,2,8,5,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,5,1,8,2,6,4,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,7,1,8,6,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[7,8,3,1,6,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,4,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[7,4,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,7,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,2,6,3,1,5,7]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,8,5,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,1,6,8,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[3,2,8,7,1,4,5,6]=>[1,4,5,6,2,8,3,7]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,7,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,5,3,4,6,2,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[1,7,6,8,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,4,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[8,5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,3,5,6,1,2,8,7]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[8,3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,7,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,5,2,7,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,6,1,5,4,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,1,8,5,7,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,6,5,7,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,5,4,8,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,1,4,6,8,2,7,3]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,5,4,6,7,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,4,6,3,7,5,8,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,4,2,8,6,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,4,1,3,5,8,6,2]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,8,4,1,7,3,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,4,8,3,7,6,5]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,3,7,4,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,8,1,6,7,5,4]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,7,2,6,8,5,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,7,2,3,8,5,6,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[3,8,2,1,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,8,1,3,6,5,7,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,8,6,7,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,3,8,7,4,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,3,6,1,8,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,6,5,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,1,4,2,5,6,8,3]=>[1,4,2,5,6,8,3,7]=>[1,4,7,2,5,6,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,4,1,6,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,6,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,4,2,1,5,8,7,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5,8]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,3,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,1,4,5,6,8,7,2]=>[1,4,5,6,8,2,3,7]=>[1,3,7,4,5,6,8,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,5,2,1,4,3,8,7]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,2,7,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[8,5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,7,5,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[3,1,6,5,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,6,3,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,2,3,4,8,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[2,5,7,3,8,6,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[7,6,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,3,7,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,7,4,1,2,6,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,8,1,3,5,2,6,4]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,8,7,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[3,8,4,2,5,7,1,6]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,3,5,2,7,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,1,5,3,8,7,6,4]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,3,2,8,7,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,5,2,4,8,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,2,8,5,7,6,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[2,4,1,8,7,6,5,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,1,8,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,5,4,8,2,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,6,2,1,8,7,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,5,8,3,7,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,2,3,6,8,7,5]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,4,3,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,2,8,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[7,1,8,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,7,3,8,1,4,6,2]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,8,4,1,2,7]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,5,8,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[2,4,8,3,5,6,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[2,3,8,1,4,6,7,5]=>[1,4,6,7,2,3,8,5]=>[1,3,7,4,8,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[4,3,8,2,5,1,7,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,3,8,4,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[7,4,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,8,2,4,3,5,1,7]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,8,2,1,4,6,5,7]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,1,3,4,5,7,6]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,8,5,3,6,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,5,3,4,7,1,6]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,8,5,3,4,6,7,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,5,7,2,4,1,8,6]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,5,7,2,4,6,8,1]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,2,7,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[5,1,6,7,4,3,8,2]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,1,6,8,7,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,2,8,3,7,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,2,8,4,5,7,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,6,8,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,2,4,3,1,7]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,5,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,1,6,8,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,7,8,6,3,4,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,6,2,4,8,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,5,2,8,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[6,1,2,5,8,4,7,3]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,1,6,5,8,3,4,2]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,5,2,6,3,8,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[4,5,2,7,3,8,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,1,2,5,6,8,7,3]=>[1,2,5,6,8,3,4,7]=>[1,2,4,7,5,6,8,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,4,2,1,5,3,6]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,3,5,4,2,1,6]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,1,5,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,2,5,6,4,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,7,5,4,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,3,7,1,6,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,3,1,8,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,4,2,1,5,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,7,5,8,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,7,1,5,3,6,8]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,3,7,6,4,2,8,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,2,8,6,4,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,8,1,7,6,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,8,5,7,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,7,5,8,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,5,2,1,3,8]=>[1,3,8,2,4,6,7,5]=>[1,4,3,6,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,6,5,8,3,2,7,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,7,5,6,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,7,1,4,2,3,8,6]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,4,2,7,6,8,3]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,6,2,4,7,8,3,5]=>[1,6,2,4,7,8,3,5]=>[1,4,5,6,8,2,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,7,2,4,1,6,3,8]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,4,2,8,5,3,7]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,7,2,6,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,8,2,1,5,6,3,7]=>[1,5,6,2,3,7,4,8]=>[1,3,6,7,5,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,4,5,6,8,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,3,7,5,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,6,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,8,1,2,5,3,7,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,8,6,5,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,8,5,6,1,4,7,2]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[5,2,8,7,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,6,7,8,5,1,4,2]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[3,7,6,8,5,2,1,4]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,7,8,5,1,2,4,6]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,7,1,6,4,2,5,8]=>[1,6,2,5,8,3,7,4]=>[1,5,7,8,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,1,8,6,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,8,6,3,5,1,2]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,7,6,5,3,4,8]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,8,1,6,4,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,8,7,5,1,4,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,6,7,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,8,6,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[6,3,1,2,7,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,4,2,7,1,3,8,5]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,5,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[3,6,2,7,1,4,8,5]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,3,6,7,1,2,8,4]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[6,3,7,4,1,2,8,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,7,6,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,5,7,4,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,4,7,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[7,4,8,5,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[3,8,6,2,4,7,1,5]=>[1,5,2,4,7,3,8,6]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,4,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,8,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,8,5,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[3,6,5,8,1,2,4,7]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,4,6,7,2,8,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,6,3,7,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,4,7,3,8,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,3,7,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,3,7,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,4,7,8,2,5,1,3]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,3,7,8,5,1,2,4]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[4,3,8,7,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,3,8,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,4,8,7,1,2,3,6]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[2,5,8,7,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,5,3,4,6,2,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[4,6,8,2,7,1,3,5]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,7,1,8,6,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,8,4,7,5,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,8,7,1,6,2,3,4]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,8,7,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,8,7,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,1,4,5,8,2,3]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,5,6,8,9,1,7]=>[1,7,2,3,4,5,6,8,9]=>[1,3,4,5,6,7,2,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,6,7,8,9,1,5]=>[1,5,2,3,4,6,7,8,9]=>[1,3,4,5,2,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,5,6,7,8,9,1,4]=>[1,4,2,3,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,5,6,7,8,9,1,3]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,3,4,5,6,7,8,9,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,7,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[2,3,4,5,6,7,8,10,1,9]=>[1,9,2,3,4,5,6,7,8,10]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,1,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,5,1,8,9,6,7]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[2,3,5,6,7,8,9,10,1,4]=>[1,4,2,3,5,6,7,8,9,10]=>[1,3,4,2,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,4,5,6,7,8,9,2,3]=>[1,4,5,6,7,8,9,2,3]=>[1,3,9,4,5,6,7,8,2]=>[.,[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,4,5,6,7,8,9,10,1,3]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,5,3,6,2,4,8,1]=>[1,2,4,8,3,6,5,7]=>[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,3,2,5,1,8,4,7]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[8,5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,2,6,3,4,5,8,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,2,5,7,3,6,8,1]=>[1,2,5,7,3,6,8,4]=>[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,5,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,4,8,6,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[6,8,3,5,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,8,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,8,6,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,4,7,5,3,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[4,8,1,5,7,2,3,6]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,7,5,8,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,2,1,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,1,3,6,8,2,7]=>[1,3,6,8,2,7,4,5]=>[1,7,3,5,8,6,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,3,5,1,6,8,2,7]=>[1,6,8,2,7,3,5,4]=>[1,7,5,8,4,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[5,4,6,3,8,7,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,3,1,8,7,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,8,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,4,7,5,3,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[7,6,8,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,7,8,2,6,1,3]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,7,8,1,6,2,4,5]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,3,8,7,1,4,5,6]=>[1,4,5,6,2,3,8,7]=>[1,3,6,4,5,2,8,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[7,2,8,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,8,3,6,2,4,5]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,8,3,7,5,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[8,1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,5,8,3,6,2,4,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,1,3,2,5,6,8]=>[1,3,2,5,6,8,4,7]=>[1,3,2,7,5,6,8,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,4,3,8,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,5,1,3,6,2,8,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,4,8,3,2,5,1,6]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[6,4,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,5,3,8,7,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,1,2,8,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,4,3,8,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,3,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,8,2,4,1]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,5,8,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,5,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,5,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,4,3,7,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,5,3,7,1,2,8,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,5,3,7,8,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,6,2,1,3,4,8,7]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,3,7,8,2,1,4,6]=>[1,4,6,2,3,7,8,5]=>[1,3,6,4,8,2,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[2,1,7,8,4,3,5,6]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[8,3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4,8]=>[1,3,6,7,5,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,1,2,5,4,6,3]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,8,7,4,2,1,6,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,5,1,6,8,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,4,7,1,8,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,8,2,4,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,2,5,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,2,6,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,8,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,7,2,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[1,4,2,8,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,8,2,6,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,8,2,5,3,6,4,7]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,2,4,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,8,2,4,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,2,5,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[1,4,2,8,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,5,2,8,3,7,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,2,8,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[1,7,2,8,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,6,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,3,8,5,1,7,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,6,8,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,8,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,7,5,3,1,8]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,6,7,2,4,3,1,8]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,8,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,8,2,4,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,8,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,7,8,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,8,4,1,2,6,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,3,5,2,4]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,7,8,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,8,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,7,2,8,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,3,5,4,2]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,3,4,5,2]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,2,7,8,1,5,6,4]=>[1,5,6,2,7,8,3,4]=>[1,6,4,8,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[5,6,8,3,2,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,3,8,2,1,7,5]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,7,3,8,1,2,6,5]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[4,7,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,7,8,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,8,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,5,3,4]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,5,4,3]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,5,3]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,8,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,7,8,1,4,6,5]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,3,7,5,2,6,4,8]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,2,8,5,4,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,8,5,4,3,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,8,4,5,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,8,4,5,3,7,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,8,4,3,5,6,1,7]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,4,8,5,2,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,8,5,1,3,7,2]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,3,7,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,7,5,1,2,8,6]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,3,7,1,5,6,8,2]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,6,1,7,5,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,5,7,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,7,4,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,3,1,8,6,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,1,8,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,5,8,2,7,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,8,4,2,3,7,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,2,5,8,3,7,1,4]=>[1,4,2,5,8,3,7,6]=>[1,4,7,2,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,5,7,3,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,5,2,7,4,6,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,8,6,1,7,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,3,4,8,6,5,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,7,3,5,8,6,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,2,4,7,8,6,1,5]=>[1,5,2,4,7,8,3,6]=>[1,4,6,5,2,8,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,5,4,6,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,4,7,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,6,4,1,8,7,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,3,6,1,4,8,2,7]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[6,3,5,1,8,2,7,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,6,1,5,8,4,7,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,7,6,5,8,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,2,4,1,7,8,5,6]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[3,1,4,2,7,8,6,5]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[3,6,4,7,8,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,4,5,7,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,3,4,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,4,3,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,6,3,2,5,4,1,8]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,8,3,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,8,4,5,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,3,6,1,5,4,2,8]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,4,6,5,1,3,2,8]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,8,5,4,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,8,6,4,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,5,7,4,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,7,5,1,3,8,2]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,3,7,1,5,4,8,2]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,1,7,5,4,8,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,2,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,4,8,5,1,3,7,6]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,5,8,4,3,1,7,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,6,8,4,3,7,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,8,7,4,3,6,5,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,5,6,3,4,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,5,8,6,7,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,4,8,6,1,7,3,5]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,1,7,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,1,6,8,4,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,5,8,3,1,2]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[1,8,6,5,7,3,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,8,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[4,6,5,7,8,2,1,3]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,6,1,7,8,2,4]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,2,1,5,7,3,8,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,4,5,7,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,5,4,7,2,1,8,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,4,7,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[1,8,4,6,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,8,3,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,6,3,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,2,1,4,3,7,8,5]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[5,2,1,4,3,8,7,6]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,4,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,3,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,8,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[3,5,4,8,2,1,7,6]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,3,5,1,8,2,7,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,2,1,6,8,7,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,6,1,8,7,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,5,6,8,7,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,6,5,8,7,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[3,7,5,8,6,2,4,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,8,5,7,6,2,4,3]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,8,5,4,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,3,1,7,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,6,2,1,7,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[7,5,2,1,6,8,4,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,5,7,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,4,1,7,5,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,4,2,6,7,5,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,3,2,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,4,6,1,7,5,8,3]=>[1,7,2,4,6,3,5,8]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,7,1,6,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,8,2,6,5,7,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,1,2,7,5,8,3]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,3,1,2,7,6,8,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,1,2,7,6,8,4]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,1,5,8,2,3,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,8,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,3,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,7,6,2,5,8,3,4]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,6,2,1,5,8,3,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,6,4,8,2,5,3]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[8,2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,1,5,2,7,4,8,3]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,3,5,7,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,1,3,7,6,8,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,5,7,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,4,2,7,5,8,3]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,1,3,7,6,8,4]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,2,4,7,6,8,5]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,5,6,9,1,2,3,4]=>[1,2,3,4,5,6,9,7,8,10]=>[1,2,3,4,5,6,8,9,7,10]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[9,8,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[9,7,10,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]]
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,3,4,5,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[2,6,3,8,4,5,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,3,2,1,4,5,8,7]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,7,8,5,6,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[3,7,8,5,6,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[3,7,8,2,4,5,1,6]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,2,8,4,5,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[3,5,2,4,8,6,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,6,5,8,7,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,4,5,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,4,1,3,7,5,8]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,5,2,1,8,3,4,7]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[2,4,6,7,3,8,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[4,2,6,7,3,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,6,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,2,5,3,7,1,6,8]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,4,2,5,6,8,1,7]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[5,2,7,8,6,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,8,7,1,5,3,2,4]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[6,8,7,3,5,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,1,3,6,5,2,4]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,3,4,8,6,5,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,2,7,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,8,3,7,4,5,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,2,4,8,1,7,5,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,8,7,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,8,7,5,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,8,4,3,7,5,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,8,1,3,7,2,5,4]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,4,8,3,7,5,2]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,5,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,1,8,5,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,2,1,8,7,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,2,7,4,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,7,5,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,5,3,2,7,6,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,3,2,1,8,7,6,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,6,8,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,1,2,8,4,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[6,4,1,2,8,5,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,3,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,1,2,5,8,3,4,7]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,1,3,4,8,2,5,6]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,6,1,5,7,8,3,4]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[7,4,1,6,8,5,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,2,1,6,8,7,4]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,6,2,5,7,3,4,8]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,2,1,5,8,7,3,4]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,2,4,1,8,5,7,3]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,2,5,1,8,4,7,3]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,6,2,4,7,3,5,8]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,4,1,3,8,5,2,6]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,5,1,3,8,4,2,6]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,2,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,2,4,8,3,5,7]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,4,1,8,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,5,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,2,4,1,6,3,8,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,8,5,7,3,4,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,1,8,5,7,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,8,5,7,4,6,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,7,4,6,3,8,5]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,1,7,3,6,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[5,1,7,3,6,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[6,2,7,3,5,1,8,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[8,4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,6,2,5,1,8,4]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,2,5,1,7,3,8,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,4,6,2,3,1,8,5]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,2,3,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,2,3,1,7,4,8,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,2,3,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,2,4,1,8,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,1,6,2,8,4,7,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,7,3,8,4,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,1,8,4,6,2,7,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,1,8,5,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,1,7,4,8,5,6,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,1,7,4,8,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,1,3,6,2,5,4]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,3,8,4,7,2,5,6]=>[1,3,8,2,5,6,4,7]=>[1,5,3,7,6,4,8,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[1,4,8,2,5,7,3,6]=>[1,4,8,2,5,7,3,6]=>[1,5,6,4,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,3,5,6,4,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,8,5,1,4,2,6,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,4,5,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,3,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,6,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,5,8,4,7,6,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,6,2,5,3,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,7,5,1,3,6,8,2]=>[1,3,6,8,2,4,7,5]=>[1,4,3,7,8,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,5,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,7,3,6,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,5,2,4,8,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,1,2,4,5,8,7]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,5,7,6,8,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,7,5,6,8,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,6,8,4,5,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,7,1,8,5,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[3,2,8,4,5,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,4,2,8,6,1,7,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,4,7,1,5,2,6,8]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,3,7,8,1,2,6,5]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,7,8,6,1,3,4,2]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[7,6,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,6,4,3,8,2,5,7]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,5,1,7,8,6,3]=>[1,7,8,2,4,5,3,6]=>[1,4,6,5,3,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[2,6,3,4,5,8,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,6,4,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,3,6,4,8,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,5,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,6,7,4,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,6,4,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,1,5,2,8,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,5,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,5,3,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,6,1,5,3,2,8,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,5,6,4,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,2,5,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,4,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,6,3,7,5,4,2,8]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[6,8,1,3,7,5,4,2]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,1,6,4,5,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,4,2,6,5,1,3,8]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,2,4,1,5,3,6,8]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[7,2,3,5,4,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,8,1,2,3,4,7,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,8,2,3,7,6,4,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,2,8,1,3,7,4,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,8,2,3,5,4,7,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,8,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,5,3,6,8,4,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,4,7,6,8,5,1,3]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,5,3,7,6,1,8,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,5,7,4,1,6,2,8]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[5,3,4,1,8,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,1,8,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,2,8,6,5,3,7,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,2,8,5,7,6,3,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,4,2,7,5,8,6,3]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,8,6,7,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,4,7,6,2,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[5,8,7,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,3,7,1,6,4,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,1,3,8,6,7,2,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,5,7,6,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,8,7,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,2,4,3,7,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,5,3,1,2,7,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,1,2,7,6,3,8]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[3,5,7,1,2,8,6,4]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,2,7,5,1,4,8]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,6,3,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,5,3,1,7,6,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,2,5,7,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,4,6,5,8,7,1,2]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[3,1,4,5,8,6,7,2]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,2,8,4,7,1]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[4,5,3,1,6,8,7,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,7,5,8,6,4,3]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,7,5,3,8,6,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,4,1,7,5,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,1,3,7,5,2,4,8]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,1,2,6,8,5,4,7]=>[1,2,6,8,3,4,7,5]=>[1,2,4,7,8,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[3,7,1,2,5,4,8,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,4,1,7,8,6,5,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[3,4,7,5,1,8,6,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,7,4,1,5,8,6,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,8,6,4,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,3,7,4,5,1,8,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,6,3,7,5,8,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,7,3,6,8,1,4]=>[1,4,2,7,3,6,8,5]=>[1,4,6,2,8,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,7,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,7,3,4,6,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,8,4,6,1,7,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,2,8,3,6,7,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[2,4,8,1,7,3,5,6]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,2,8,4,7,1,6,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[6,8,5,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,7,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[6,3,2,7,8,5,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,8,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,8,2,4,6,7,1,5]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,6,8,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,5,6,8,1,7,3]=>[1,7,2,4,5,6,8,3]=>[1,4,8,5,6,7,2,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,8,3,5,6,1,7,2]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,6,2,3,7,8,1,4]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[5,8,7,3,4,1,2,6]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,7,2,5,3,1]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,3,7,5,1,2,6]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,8,4,7,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,5,8,7,6,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,5,8,7,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,5,8,7,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,1,7,6,4,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,5,8,7,1,6,3,4]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,4,7,2,5,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,5,8,7,2,6,3,4]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,8,2,7,6,4,5]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,8,3,2,7,5,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,2,1,7,5,4,6]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,3,8,2,7,6,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,8,3,2,7,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,3,1,7,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,2,1,7,5,4,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[8,5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,7,1,2,4,3,6]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,8,1,2,7,5,4,3]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[5,1,8,3,7,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,1,8,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,8,1,7,2,5,3,6]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,8,3,7,6,4,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,2,8,3,7,6,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[3,1,6,2,5,8,4,7]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,4,5,2,8,3,7,6]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,1,6,5,8,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,6,4,2,5,8,3,7]=>[1,6,2,5,8,3,7,4]=>[1,5,7,8,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,6,5,4,8,3,7]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[1,4,2,8,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,8,6,5,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[1,5,2,8,6,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,2,7,6,5,3,8,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,2,6,5,3,8,7,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,2,7,6,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,5,7,4,2,8,3,6]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,1,2,8,6,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>[1,5,7,8,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,1,8,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,7,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,7,4,2,8,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[8,1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[1,4,8,5,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[8,5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,2,8,5,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[1,2,6,3,8,7,5,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,2,7,6,3,8,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,7,2,8,5,3,6,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,2,8,6,3,7,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[1,2,7,3,8,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,1,7,3,6,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,1,8,7,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,6,2,4,1,3]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[5,7,1,6,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,1,5,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]=>[1,3,5,4,2,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,4,5,3,8,7,2]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,7,8,6,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,5,3,8,6,2]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,6,3,1,7,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,4,1,8,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,1,6,2,4,3,7]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,5,8,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,8,5,1,4,7,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,6,5,1,3,4,8]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,7,6,8,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,7,6,5,8,3,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,6,1,3,8,5,7,4]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,7,6,1,4,3,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[2,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[2,1,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[9,1,2,3,4,5,6,7,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,9,7]=>[1,3,4,5,6,8,9,2,7]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,1,2,3,4,5,6,9,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[2,1,9,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,1,3,4,5,6,7,9]=>[1,3,4,5,6,7,9,2,8]=>[1,8,3,4,5,6,7,9,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,5,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,8,6,5,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,5,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,8,5,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,6,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,2,8,6,5,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,2,1,7,6,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,3,7,6,2,5,8]=>[1,3,7,2,5,8,4,6]=>[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,1,7,5,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,1,6,5,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,2,7,6,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,1,8,2,6,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[5,1,8,3,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,1,3,8,2,7,5,6]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,1,8,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,2,8,7,1,6,5,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,8,2,7,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,7,2,1,6,4,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,8,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,2,6,5,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,7,8,2,5,6,3,4]=>[1,7,8,2,5,6,3,4]=>[1,5,4,8,6,3,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[7,6,8,1,4,3,5,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,5,8,3,2,1,7,4]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,2,7,3,5]=>[1,6,8,2,7,3,5,4]=>[1,7,5,8,4,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,5,4,8,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,4,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,4,3,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[8,4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,5,4,2,3,6,7,8]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[8,5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,5,1,4,2,6,3,8]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,5,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,6,1,3,4,2,7,8]=>[1,3,4,2,7,8,5,6]=>[1,4,3,2,6,8,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[3,2,6,1,5,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,2,7,1,4,6,5,8]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[5,7,1,3,2,6,4,8]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,1,2,4,5,3,8]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,6,1,2,5,4,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,2,3,5,6,4]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[6,8,1,2,4,3,7,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,1,3,2,4,7,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[4,8,2,1,3,5,7,6]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[5,1,2,4,3,6,7,8]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[6,1,2,3,5,4,7,8]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[7,1,2,3,4,6,5,8]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,8,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,3,7,8,6,1,2,4]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[3,8,4,5,7,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,4,8,6,7,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,1,7,8,4,2]=>[1,7,8,2,3,5,6,4]=>[1,3,5,8,6,4,7,2]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[2,5,6,8,1,7,3,4]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[8,2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,4,8,6,2,3,7,5]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[1,5,6,8,2,3,7,4]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,5,6,3,4,7,8,1]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,3,1,5,7,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,4,1,6,7,8,5,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[4,3,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,2,6,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,1,5,8,4,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,2,8,4,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,1,3,4,8,5,2]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,1,7,3,4,8,6,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,1,8,7,2,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,1,2,7,4,5,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,1,3,7,5,8,6,2]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,4,5,7,8,6,2]=>[1,4,5,7,8,2,3,6]=>[1,3,6,4,5,8,7,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,8,3,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[4,2,1,6,5,8,7,3]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,2,7,4,8,1,6,3]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,2,7,4,8,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,7,2,3,8,6,1,4]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,7,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,5,7,4,8,3,6,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,5,7,4,8,6,3,2]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[5,1,7,4,8,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,7,1,3,8,6,2,4]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,7,3,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,7,3,8,5,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,1,8,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,7,8,4,5,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[6,2,7,8,1,4,5,3]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[5,2,7,1,8,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,2,7,8,5,1,4,3]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,2,7,8,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,1,2,8,6,3,4]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,1,7,2,8,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,5,7,3,8,6,4,2]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,7,8,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,5,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,1,7,8,5,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,7,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,8,5,2,7,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,3,4,5,8,7,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,8,1,4,7,2,3,6]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,8,5,7,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[5,1,4,8,6,3,7,2]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,3,8,4,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,8,5,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,7,6,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,6,1,2,7,8,5,3]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,3,7,5,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,5,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,8,1,4,6,7,2,3]=>[1,4,6,7,2,3,5,8]=>[1,3,5,4,7,6,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,8,4,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,3,7,4,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[8,7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,8,6,7,1,4,5,2]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,8,7,4,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,8,7,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,6,1,8,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,4,2,7,3,6,8,1]=>[1,2,7,3,6,8,4,5]=>[1,2,6,5,8,7,3,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[6,4,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,7,4,3,5,8,1]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,7,6,4,5,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[2,7,6,5,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,5,4,3,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,5,4,1,8,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,6,5,2,8,3,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,7,4,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,5,3,4,8,2,7]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,4,6,3,1,8,2,7]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[6,5,8,4,2,7,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,8,6,2,5,7,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[7,8,5,3,2,6,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,3,1,7,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,6,3,7,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,8,1,6,3,2,5,4]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,8,1,7,3,5,6,4]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,8,6,1,7,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,8,1,3,7,2,6,5]=>[1,3,7,2,6,4,8,5]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,1,7,6,8,3,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,7,1,5,8,4,2,6]=>[1,5,8,2,6,3,7,4]=>[1,6,7,8,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[6,7,3,1,8,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,7,3,8,4,5,2,6]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,2,6,1,8,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,3,1,5,8,4,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,7,5,6,8,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,5,4,8,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,5,2,8,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,1,8,3,7,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,5,8,3,2,6,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,6,8,2,4,7,5,1]=>[1,2,4,7,3,6,8,5]=>[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,7,3,8,2,6,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,7,2,8,6,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[3,6,8,1,7,2,5,4]=>[1,7,2,5,3,6,8,4]=>[1,5,6,8,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,6,4,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,8,6,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,2,8,7,6,3,4,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,3,7,6,2,4]=>[1,5,8,2,4,3,7,6]=>[1,4,7,3,5,8,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[5,1,6,8,7,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[3,8,7,6,4,5,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,6,5,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,4,6,2,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[3,7,4,8,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[4,7,2,8,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,7,2,8,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,7,3,8,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,7,4,8,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,8,2,7,4,6,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,4,6,2,3]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,7,4,8,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,7,3,8,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,8,1,7,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,8,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,2,6,3,5,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,8,2,7,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[2,7,3,8,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,7,2,8,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,1,8,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,5,7,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,8,3,7,1,5,2,4]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[2,6,1,8,4,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[4,8,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[5,8,1,6,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,1,5,2,6,3,4]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,8,2,6,1,7,3,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,8,2,6,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,7,3,6,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]
[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,8,6,7,9]=>[1,2,3,4,5,7,8,6,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]]
[1,4,3,5,6,7,8,9,2]=>[1,4,2,3,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]]
[3,2,4,5,6,7,8,9,1]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,4,6,2,3,1,8]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,4,6,3,8,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[5,7,4,8,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,4,6,3,7,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[5,6,4,8,3,7,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[5,6,3,7,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,6,3,7,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,6,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,6,4,8,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,8,4,6,2,7,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,4,5,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,4,6,2,3,1,7]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,6,4,8,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,3,8,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,6,3,4,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,6,3,5,2,7,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,6,3,5,2,8,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,6,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,8,3,6,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,8,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,8,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,3,5,2,6,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,8,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,8,3,6,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,6,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,7,3,6,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,7,4,8,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,7,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,7,3,5,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,7,3,4,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,7,3,4,2,6,1,8]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,7,3,4,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,3,6,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,8,3,7,2,4,1,5]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,8,3,7,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,8,3,7,2,5,1,6]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,7,3,5,2,8,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,7,3,5,2,6,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,5,3,7,2,6,1,8]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,5,3,7,2,8,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[4,5,3,8,2,7,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,8,3,5,2,7,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[5,8,3,4,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,8,3,4,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,3,4,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,3,4,2,5,1,7]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,8,3,4,2,6,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,8,3,5,2,6,1,7]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,5,3,8,2,6,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,5,3,6,2,8,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,8,5,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,6,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,8,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,7,8,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,4,8,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,8,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,1,7,5,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,8,7,2,1,3,4]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[8,5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,8,7,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,1,6,8,7,4,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,1,7,8,6,4,5,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,3,2,8,6,4,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,8,5,2,4,3,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,7,5,3,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[5,8,4,2,3,7,6,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,8,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,6,2,7,3,1,5]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,6,1,8,7,4,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,7,1,8,6,4,5,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,8,1,6,7,5,2,4]=>[1,6,7,2,4,3,8,5]=>[1,4,7,3,8,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,7,1,6,8,2,5,4]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,7,4,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,8,6,7,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,6,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,7,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,6,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,8,1,5,4]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,1,7,6,8,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,8,1,4,2,3]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,8,1,2,4,3]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[5,2,8,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,2,5,4,7,3,8]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,2,7,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[8,1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6,8]=>[1,4,3,5,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,1,5,4,3,8,7,2]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,3,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,1,5,3,4,8,6,2]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,1,4,3,5,6,8,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,2,7,5,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,8,2,4,7,3,1]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[8,5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,2,8,4,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,6,2,1,4,8,3,7]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,6,1,8,5,2,4,7]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,4,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,8,1,6,3,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,8,5,2,1,4,7]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[8,3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,6,7,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,3,1,6,4]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,7,5,6,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[7,2,1,3,8,6,4,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,5,7,3,2,4,6,8]=>[1,5,7,2,4,6,8,3]=>[1,4,8,6,5,7,2,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,2,7,3,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,8,2,4,1,3,7,6]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,8,1,6,3,2,7,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,1,8,6,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,4,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,8,3,1,7,4,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,8,2,3,4,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[8,7,6,5,4,9,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,9,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,2,9,1]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,8,9,10,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[8,7,6,4,5,9,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,7,8,9,10,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]
[8,7,6,5,3,4,9,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,5,4,2,3,9,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[9,8,7,6,5,4,3,10,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,5,4,3,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,6,5,4,3,2,10,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,4,5,6,7,8,9,10,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,7,3,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,2,5,7,8,6,1,3]=>[1,3,2,5,7,8,4,6]=>[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[7,2,3,1,8,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,2,1,8,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,2,8,3,5,1,7,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,3,6,4,8,5,7,2]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,4,7,5,8,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,3,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,3,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,2,8,4,3,5,6,7]=>[1,2,8,3,5,6,7,4]=>[1,2,5,8,6,7,4,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[1,7,4,2,3,5,6,8]=>[1,7,2,3,5,6,8,4]=>[1,3,5,8,6,7,2,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[6,8,4,1,3,2,5,7]=>[1,3,2,5,7,4,6,8]=>[1,3,2,6,5,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,3,8,2,4,7,5]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,5,8,4,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,4,6,2,8,3,7,5]=>[1,4,6,2,8,3,7,5]=>[1,6,7,4,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,3,6,1,2,8,4,7]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,7,4,5,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,3,1,4,2,7,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,3,4,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,2,3,1,4,5,8,6]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,7,5,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,7,5,4,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[5,1,4,8,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,4,6,8,2,7,3,5]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,7,4,5,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,7,5,1,2,8,4,6]=>[1,2,8,3,7,4,6,5]=>[1,2,7,6,8,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,7,6,3,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,1,4,2,7,8,3,6]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,2,8,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[3,1,2,7,6,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[5,3,7,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,7,4,3,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,4,2,7,8,3,6,5]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,2,3,7,8,5,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8,10]=>[1,2,3,4,5,6,8,9,7,10]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[9,1,2,3,4,10,5,6,7,8]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,1,2,3,4,5,6,7,8,11,9]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,10,11,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]
[8,1,2,3,4,5,6,9,10,7]=>[1,2,3,4,5,6,9,10,7,8]=>[1,2,3,4,5,6,8,10,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]]
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[4,7,8,5,6,2,1,3]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,8,2,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6,8]=>[1,3,5,4,2,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,6,3,8,2,1,4,7]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,6,4,8,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,6,4,8,3,5,7,1]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,6,4,7,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,3,7,2,1,4,8]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,2,1,7,5,8]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[2,6,5,7,8,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,2,7,8,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[8,5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,5,7,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,6,3,7,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[2,6,4,7,3,8,5,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,4,3,2,1,6,8,5]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,4,3,2,1,5,8,6]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,4,3,2,1,5,8,7]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,8,3,7,5,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,2,5,8,4,6,1,7]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,5,2,4,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,2,1,5,7,3,6,8]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,5,2,3,7,1,6,8]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,2,5,3,8,1,6,7]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,5,8,3,1,6,7]=>[1,6,7,2,5,8,3,4]=>[1,5,4,8,7,6,2,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,1,5,3,8,2,6,7]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,1,5,8,3,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[4,3,8,5,2,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,5,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,1,4,3,7,8,6]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[5,3,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,6,1,5,2,7,8]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,6,3,1,7,2,5,8]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,6,2,7,1,3,4,8]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,6,7,2,3,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,6,2,1,7,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,2,7,4,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[7,2,1,4,6,3,8,5]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,6,1,5,7,4,8]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,6,2,1,5,7,4,8]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,2,1,5,7,4,8]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[4,2,6,1,5,3,7,8]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[7,4,1,5,6,2,3,8]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,6,5,1,7,2,3,8]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[3,6,5,1,2,7,4,8]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,3,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,4,1,5,8,3,7,6]=>[1,5,8,2,4,3,7,6]=>[1,4,7,3,5,8,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[2,4,1,5,3,8,7,6]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,5,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,4,8,5,3,1,7,6]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,5,8,2,1,7,6]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,4,5,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,4,6,2,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,5,6,2,7,1,8,4]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,5,6,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,4,8,6,3,7,1,5]=>[1,5,2,4,8,3,7,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,8,4,6,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,5,6,2,7,4,1,8]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,6,8,7,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,6,8,7,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,2,6,7,5,4]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[2,5,1,6,7,4,8,3]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,5,1,6,7,4,3,8]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,5,6,1,7,4,2,8]=>[1,7,2,8,3,5,6,4]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,5,6,1,7,4,8,2]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,4,6,1,8,7,5,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,8,6,1,7,5,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,8,4,6,2,7,5,3]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,8,5,6,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,6,8,7,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,8,2]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,8,7,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[2,5,8,6,7,4,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,8,2,4,3,7,1,6]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,5,6,1,8,3,7]=>[1,8,2,5,6,3,7,4]=>[1,5,7,8,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,5,8,3,2,4,7]=>[1,5,8,2,4,7,3,6]=>[1,4,6,7,5,8,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,8,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,7,1,5,6,8,2,4]=>[1,5,6,8,2,4,3,7]=>[1,4,7,3,5,6,8,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,1,5,7,8,3,2,4]=>[1,5,7,8,2,4,3,6]=>[1,4,6,3,5,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[4,2,5,6,1,7,8,3]=>[1,7,8,2,5,6,3,4]=>[1,5,4,8,6,3,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[5,7,6,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,1,7,3,4,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,2,5,1,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,2,4,1,8,7,5,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,5,1,6,8,7,4]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,8,6,5,1,7,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,7,6,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,5,1,7,8,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[3,2,4,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,4,1,7,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,4,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,2,5,1,8,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,2,5,1,6,7,4,8]=>[1,6,7,2,5,3,4,8]=>[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,5,1,7,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,5,1,8,4,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,6,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,2,6,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[8,4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,2,5,1,8,6,4,7]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,2,4,1,8,6,5,7]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,8,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,7,5,1,8,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,5,7,3,1,8,4,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,5,7,4,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,7,5,1,8,6,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,4,3,8,5,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,4,3,6,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,4,6,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,5,8,1,6,7,4]=>[1,6,7,2,5,8,3,4]=>[1,5,4,8,7,6,2,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[2,5,4,6,8,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,6,2,1,8,5,7,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,1,7,5,8,6,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,4,1,7,5,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,6,4,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,4,8,2,1,6,3,7]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,5,8,4,1,6,3,7]=>[1,6,2,5,8,3,7,4]=>[1,5,7,8,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,3,2,6,1,5,7]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,5,2,8,1,6,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[3,2,7,1,5,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,2,7,1,5,8,6,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,8,2,5,1,6,7,4]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,8,3,2,6,7,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,4,7,2,6,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,3,8,2,6,7,1,5]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,2,6,7,8,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,4,8,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[4,3,2,6,7,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[4,3,7,2,6,8,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[2,5,7,4,8,1,6,3]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,2,5,7,8,1,6,4]=>[1,6,2,5,7,8,3,4]=>[1,5,4,8,6,2,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[3,2,5,7,1,6,4,8]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,3,2,7,1,5,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[6,5,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,1,7,5,3,8,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,2,1,8,5,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,3,2,1,4,7,5,8]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,5,2,1,7,4,6,8]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,4,1,7,3,8,6,5]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,5,8,2,1,7,4,6]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,3,7,2,1,5,6]=>[1,5,6,2,3,7,4,8]=>[1,3,6,7,5,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,7,2,1,5,6,8]=>[1,5,6,8,2,3,7,4]=>[1,3,7,8,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,8,3,2,7,1,5,6]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,5,2,8,1,7,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,2,1,4,7,5,8,6]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,8,2,1,5,6,7]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,7,5,6,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1,11]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,7,5,6,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,10,9,8,6,7,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,1,5,2,4,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,3,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,8,4,5,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,8,4,7,5,6,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[8,1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[8,4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,3,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,8,3,7,5,6,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,8,1,3,2,7,4]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,8,6,3,2,7,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,5,8,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,7,2,8,4,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,8,4,6,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,3,1,8,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,1,6,8,4,5,7,2]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,6,8,4,5,7,1]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,3,7,8,4,6,5,2]=>[1,3,7,8,2,4,6,5]=>[1,4,3,6,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[3,6,7,8,4,2,5,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,6,8,7,3,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,8,3,7,1,6,5,4]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[5,2,8,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,1,8,4,6,5,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,7,8,4,6,5,1]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[5,2,7,8,1,4,6,3]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[1,2,7,8,5,4,6,3]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[4,2,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,8,5,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,8,3,5,4,1,6,7]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,4,8,5,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,3,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,8,4,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,7,1,8,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,7,5,8,1,4,6,2]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,8,3,4,6,2]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,6,8,5,1,3,2,7]=>[1,3,2,7,4,6,8,5]=>[1,3,2,6,8,7,4,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[5,6,8,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,5,8,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,1,8,3,5,6,2,7]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,8,1,5,3,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,7,3,8,5,4,6,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,7,8,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,5,8,4,2,3,1,7]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,3,2,8,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,3,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,4,3,5,1,6,7]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,2,8,4,5,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,2,3,8,5,4,6,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[4,2,3,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,3,2,4,8,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,8,4,5,3,7,6]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[1,4,2,8,5,3,6,7]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,8,1,5,2,4,6,7]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,5,2,8,4,3,6,7]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[1,2,8,5,4,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[1,2,5,4,3,8,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,7,4,8,5,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,5,2,7,8,4,3,6]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[5,1,2,7,4,8,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,8,1,5,4,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[1,2,4,8,7,5,3,6]=>[1,2,4,8,3,6,5,7]=>[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,8,1,4,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,1,2,8,7,4,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,4,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,4,8,1,7,2,5]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,6,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,1,6,2,8,4,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,6,7,2,8,4,3,5]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,7,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,7,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,5,7,4,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,7,2,8,4,5,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,4,2,7,8,5,3,6]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,1,2,8,4,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[6,4,1,2,8,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,6,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,7,5,8,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,2,5,8,3,7,4,6]=>[1,2,5,8,3,7,4,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[2,8,1,7,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[8,6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,8,1,7,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,8,1,7,4,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,2,8,4,7,5,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[7,1,2,8,6,4,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,4,1,2,8,6,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,7,4,8,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,8,7,1,6,2,5]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[4,2,8,1,7,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,8,1,7,6,4,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[7,8,3,4,1,5,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,3,4,1,6,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,8,3,4,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,7,3,4,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,3,4,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,3,4,1,6,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,8,3,4,1,5,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,3,4,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,7,3,4,1,6,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,6,2,8,3,4,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,6,2,8,3,5,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,7,3,5,1,6,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,8,3,5,1,6,2,7]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,8,3,5,1,7,2,6]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,7,3,5,1,8,2,6]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[5,6,2,3,1,7,4,8]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,2,4,1,8,3,7]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,6,2,4,1,7,3,8]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,6,2,5,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,2,5,1,8,3,7]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,5,1,8,3,7,2,6]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,6,2,7,3,8,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,2,7,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,6,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,6,3,8,4,7,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[5,6,2,8,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,6,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,6,2,8,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,5,1,7,3,6,2,8]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,5,1,8,3,6,2,7]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,2,3,5,6,7,8,9,1]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[3,2,4,5,6,7,8,9,10,1]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,8,4,5,7,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,8,7,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[2,8,7,4,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,6,8,5,7,4,3]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,5,8,4,7,6,3,1]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[4,3,8,1,5,6,7,2]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,8,7,4,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,8,3,6,1,4,7,2]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,3,6,1,2,7,5]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,8,7,4,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,8,1,2,5,6,7,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,8,7,4,5,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,8,3,6,2,4,7,1]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,3,6,2,1,7,4]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,8,4,5,7,2,3]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,3,5,1,7,2,4]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,8,1,4,7,6,2,3]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,8,3,1,6,2,7,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,3,8,6,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,4,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,9,10,1,2,3,4,6]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,5,7,6,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[3,5,7,2,6,4,8,1]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,5,7,3,6,4,8,1]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,5,7,3,6,8,4,2]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[8,4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,2,7,3,6,4,8,1]=>[1,2,7,3,6,4,8,5]=>[1,2,6,7,8,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,1,3,7,6,8,5,2]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,8,7,3,6,1,4,2]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[4,8,3,7,6,1,5,2]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,8,4,7,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,3,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[3,8,2,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,7,1,2,8,5,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,2,7,8,6,5,3]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[8,4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,2,8,6,4,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,5,7,1,8,6,4,3]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,5,7,1,6,8,4,2]=>[1,6,8,2,3,5,7,4]=>[1,3,5,8,7,6,4,2]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,7,4,5,8,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,6,8,1,3,2]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,5,7,8,1,6,4,3]=>[1,6,2,5,7,8,3,4]=>[1,5,4,8,6,2,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[1,5,7,8,2,6,4,3]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[8,5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,4,8,7,6,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,7,6,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,7,8,6,1,4,2]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[6,7,2,8,1,5,4,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,2,8,7,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,8,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,3,8,2,7,6,5,4]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,2,8,3,7,6,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[2,1,8,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,7,1,8,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,8,7,1,2,6,4,3]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[3,8,1,2,7,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[2,8,1,3,7,6,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,8,2,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,2,6,4]=>[1,5,8,2,6,3,7,4]=>[1,6,7,8,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,7,1,5,8,3,6,4]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[2,6,5,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,6,5,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,6,5,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,6,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6,8]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,1,8,2,7,4]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,5,6,1,8,3,7,4]=>[1,8,2,5,6,3,7,4]=>[1,5,7,8,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,6,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[7,3,1,5,8,2,6,4]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,2,5,1,8,3,7,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,6,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,3,6,1,4,8,7,5]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,2,4,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,2,1,4,3,8,6,5]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,3,1,4,2,8,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,4,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,4,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,7,1,4,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[3,7,1,4,2,8,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,7,1,3,2,8,6,5]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,7,1,2,3,8,6,5]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[2,7,1,3,4,8,6,5]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,6,2,1,4,8,7,5]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,5,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,2,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,4,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,1,2,4,8,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,2,1,3,4,8,6,5]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,4,3,6,5,8,1,7]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,6,3,5,8,1,7]=>[1,7,2,4,6,3,5,8]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,6,3,5,1,8,7]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,1,6,5,3,8,7]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,6,5,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,2,6,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,2,6,5,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,2,6,5,8,1,7,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,2,6,5,8,3,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,4,1,6,5,8,3,7]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,4,6,5,8,3,7]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,5,3,8,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,6,4,3,8,7,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,6,4,3,8,7,5,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,2,6,8,5,3,7,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[2,4,6,8,1,5,7,3]=>[1,5,7,2,4,6,8,3]=>[1,4,8,6,5,7,2,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,4,6,1,8,5,7,3]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,4,6,1,8,5,3,7]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,4,6,8,1,5,3,7]=>[1,5,2,4,6,8,3,7]=>[1,4,7,5,2,6,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,6,8,3,5,7,1]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[2,4,6,8,3,5,1,7]=>[1,7,2,4,6,8,3,5]=>[1,4,5,6,8,7,2,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[2,4,6,8,3,1,5,7]=>[1,5,7,2,4,6,8,3]=>[1,4,8,6,5,7,2,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[2,4,6,3,1,8,5,7]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,6,3,8,5,7,1]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,4,3,6,8,5,7,1]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[2,4,3,6,1,8,5,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,3,6,1,8,7,5]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,6,5,2,8,7,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,2,5,8,7,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,4,6,3,1,8,7,5]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,1,6,3,8,7,5]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,4,6,3,8,7,5]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,6,1,8,3,7,5]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,4,6,8,3,1,7,5]=>[1,7,2,4,6,8,3,5]=>[1,4,5,6,8,7,2,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,6,2,8,5,7,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,2,8,7,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,1,6,4,8,7,5,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,6,4,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,6,4,8,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[6,4,2,8,7,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,4,8,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,2,4,7,3,6,8,1]=>[1,2,4,7,3,6,8,5]=>[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,7,4,5,8,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,1,4,7,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[1,6,7,4,8,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,3,1,7,5,8,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,8,6,3,7,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,8,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,8,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,1,3,8,2,4,5]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,2,4,8,3,6,7]=>[1,2,4,8,3,6,7,5]=>[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,6,1,5,8,2,7]=>[1,5,8,2,7,3,6,4]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[2,6,1,4,5,8,3,7]=>[1,4,5,8,2,6,3,7]=>[1,6,7,4,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,5,1,3,4,8,2,7]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,6,2,4,8,3,5,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,5,3,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,7,8,3,6,1,4,5]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[5,2,4,8,7,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,8,3,7,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,1,4,8,7,2,3,6]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,2,5,1,3,7,6]=>[1,3,7,2,5,4,8,6]=>[1,5,3,7,4,8,2,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,7,2,5,1,3,8,6]=>[1,3,8,2,5,4,7,6]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,7,2,1,5,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,8,2,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[3,7,2,1,4,5,8,6]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[3,2,7,1,4,6,8,5]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,2,8,1,4,6,7,5]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,8,2,1,4,7,5,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,8,2,1,5,7,4,6]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,8,2,5,1,7,3,6]=>[1,7,2,5,3,6,4,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,7,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,7,2,1,4,8,5,6]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,2,1,7,5,8,6,4]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,7,6,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,3,7,6,8,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,8,6,7,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,8,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,2,1,8,7,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,2,1,7,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,2,8,1,6,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,7,1,6,4,8,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,7,6,1,3,8,5]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,8,6,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,8,7,1,3,6,5]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,7,8,3,4,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,6,7,1,3,8,5]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,2,6,1,8,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,7,2,1,8,4,5,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,7,3,8,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[4,3,7,8,6,1,2,5]=>[1,2,5,3,7,8,4,6]=>[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[3,2,7,1,8,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,2,1,6,8,5,7,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,6,1,8,7,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,3,6,8,7,1,2,5]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,4,6,8,7,5,1,2]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[5,3,6,4,8,7,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,4,6,2,7,8,5,3]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[3,1,8,5,4,2,6,7]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,2,7,5,4,8,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,3,7,5,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[7,3,8,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[3,8,7,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[4,3,6,7,8,5,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[4,5,6,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,8,5,4,7,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,6,3,5,4,8,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,6,2,5,4,8,7,3]=>[1,6,2,5,3,4,8,7]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[6,2,1,5,4,8,7,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,6,2,8,7,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,8,3,1,4,2,6,5]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,6,1,8,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[2,3,8,5,4,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,8,1,5,2,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,1,6,4,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,1,6,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,1,5,7,4,3,2,8]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,5,8,6,4,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,4,6,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[7,8,4,1,5,3,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,5,1,6,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,6,8,7,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,8,1,7,4,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,6,1,7,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,1,7,6,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,1,8,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,7,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,1,7,5,6,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,8,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,8,1,5,4,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,2,8,5,6,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[6,1,2,5,7,3,8,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[4,2,1,5,6,3,7,8]=>[1,5,6,2,3,7,8,4]=>[1,3,6,8,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,3,6,1,5,7,2,8]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,4,6,3,7,1,8,5]=>[1,8,2,4,6,3,7,5]=>[1,4,7,6,8,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,1,6,7,3,8,2,5]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,1,7,5,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,8,3,5,4,1,7,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,6,3,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,1,6,4,7,8,2,5]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,5,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,1,5,8,4,3,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,1,8,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,5,1,8,4,3,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,5,8,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,8,7,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[1,5,7,8,4,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[2,4,7,5,1,3,8,6]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,4,1,8,2,7]=>[1,8,2,7,3,5,6,4]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,6,4,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,6,5,8,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,8,5,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,5,1,4,3,2,8]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,9,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,9,4,7,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]]
[1,2,5,3,6,7,8,9,4]=>[1,2,5,3,6,7,8,9,4]=>[1,2,5,9,3,6,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]]
[1,4,2,5,6,7,8,9,3]=>[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]]
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,6,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[4,3,6,2,8,1,5,7]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[6,1,2,5,4,7,8,3]=>[1,2,5,3,4,7,8,6]=>[1,2,4,5,3,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[4,2,8,5,1,3,7,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,6,8,1,7,2,5]=>[1,7,2,5,3,6,8,4]=>[1,5,6,8,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[5,3,6,4,1,7,2,8]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,4,6,3,7,5,8,2]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,2,5,8,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,7,5,4,1,6,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[7,5,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,5,4,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,5,4,1,6,7,3,8]=>[1,6,7,2,5,3,8,4]=>[1,5,7,8,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,6,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[8,5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,1,7,8,5,3,6]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[2,5,4,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,3,2,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,5,2,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,7,5,8,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,2,8,5,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,4,3,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,2,1,8,6,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[7,5,8,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,7,3,2,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,3,2,1,6,4,8]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,3,7,2,5,1,8,4]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,8,4,1,3]=>[1,3,2,5,7,8,4,6]=>[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[6,3,7,2,8,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,2,6,1,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,5,8,4,1,3,7,6]=>[1,3,7,2,5,8,4,6]=>[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,4,1,7,8,3,6,5]=>[1,7,8,2,4,3,6,5]=>[1,4,6,3,8,5,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[3,7,2,8,6,1,4,5]=>[1,4,5,2,8,3,7,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,3,8,2,1,4,7,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,8,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,9,7,6,5,4,3,2]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[8,9,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,7,9,6,5,4,3,2]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,9,8,6,5,4,3,2]=>[1,7,9,2,3,4,5,6,8]=>[1,3,4,5,6,8,7,9,2]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,9,10,8,7,6,5,4,3,2]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[7,8,3,5,4,6,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,4,1,6,3,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,7,1,6,2,8,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,7,1,6,2,8,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,7,6,5,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,7,6,5,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,6,5,1,4,8,7]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,3,6,1,5,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[7,3,5,1,8,4,2,6]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,7,6,1,5,8,4,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,7,6,4,1,8,5,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,1,7,6,3,8,5,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,1,7,6,3,8,4,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,7,6,4,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[7,3,5,1,8,6,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,8,7,6,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,4,8,5,7,1,6]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,4,3,5,8,7,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[2,1,4,5,8,7,3,6]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,8,7,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[2,3,4,8,7,5,6,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[2,3,4,8,7,5,1,6]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,7,6,5,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[7,3,5,6,8,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,3,5,6,8,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,3,5,6,8,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,4,1,5,8,7,2,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,4,1,5,8,7,3,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,1,6,3,8,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,1,5,8,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[7,4,1,5,8,2,6,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,3,5,7,8,2,4,1]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[2,7,6,4,5,8,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,7,3,6,1,8,4,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,4,5,8,6,3,7]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[7,3,5,4,8,6,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,3,4,8,5,6,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,3,4,8,7,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,4,8,1,7,6,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,3,4,8,5,1,7,6]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,1,4,5,8,3,7,6]=>[1,4,5,8,2,3,7,6]=>[1,3,7,4,5,8,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,3,4,8,1,6,5,7]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,3,4,8,1,5,7,6]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[7,8,2,6,1,5,3,4]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,1,6,2,5,3,4]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,6,7,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,5,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,1,7,2,6,3,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,2,7,1,6,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,8,6,7,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,8,5,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,8,1,7,5,6,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,8,2,7,5,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,8,2,7,4,6,3,5]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,8,1,7,4,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,8,4,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,8,2,7,1,6,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,8,1,7,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,8,4,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,8,1,7,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,8,4,7,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,8,3,7,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,8,1,7,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,8,1,7,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,3,7,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,3,7,2,6,4,5]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,8,1,7,2,6,4,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,8,2,7,1,6,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,8,2,7,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,8,2,7,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,8,2,7,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[4,8,3,7,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[3,8,4,7,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[2,8,4,7,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[2,8,3,7,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,7,2,6,8,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,8,3,7,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,8,3,7,1,6,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,8,1,7,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[7,5,2,8,6,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,8,6,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,8,6,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,1,8,4,5,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,8,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,6,7,3,8,5,2,4]=>[1,6,7,2,4,3,8,5]=>[1,4,7,3,8,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,1,8,3,5,6,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,8,6,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,2,8,6,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,2,8,4,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,2,8,3,5,1,6,4]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[7,2,8,3,4,6,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,5,7,8,2,6,3,4]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,2,3,8,5,7,4,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,2,4,8,5,3,1,7]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,3,7,8,5,4,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[2,6,3,7,8,4,5,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[2,4,7,3,5,6,8,1]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,4,7,3,6,8,5,1]=>[1,2,4,7,3,6,8,5]=>[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,1,5,4,7,8,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,2,4,8,6,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,2,3,8,4,6,7,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[1,4,7,8,3,6,2,5]=>[1,4,7,8,2,5,3,6]=>[1,5,6,4,3,8,7,2]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[4,8,1,3,6,7,2,5]=>[1,3,6,7,2,5,4,8]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,8,2,4,7,1,6]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,4,3,8,1,2,7,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,4,2,8,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,8,2,5,1,7,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,8,1,4,2,6,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,4,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,5,1,2,8,7,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,6,4,1,7,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,5,1,7,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,5,6,1,2,8,7,4]=>[1,2,8,3,5,6,4,7]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[3,5,7,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,6,2,7,5,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,2,5,7,1,8,6,3]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,5,8,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,4,6,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,2,5,6,1,3,8,7]=>[1,3,8,2,5,6,4,7]=>[1,5,3,7,6,4,8,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,1,2,5,6,8,7]=>[1,2,5,6,8,3,4,7]=>[1,2,4,7,5,6,8,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[5,3,6,8,4,7,2,1]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[3,7,2,5,4,8,6,1]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4,8]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,2,6,8,4,3,7,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[3,1,6,5,4,8,2,7]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,6,5,8,3,2,7]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,7,1,8,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,7,1,5,4,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4,8]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,7,6,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,7,8,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,8,2,3,4,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,8,2,4,3,5,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,8,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[8,3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5,8]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,7,3,8,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[4,7,3,5,8,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[5,7,6,8,4,1,2,3]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,7,6,5,8,1,2,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[3,7,6,5,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,8,9,2,3,4,5,6,7]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,1,2,3,4,5,6,7,8,9,11]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[7,1,8,2,3,4,5,6,9]=>[1,8,2,3,4,5,6,9,7]=>[1,3,4,5,6,8,9,2,7]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,8,1,2,3,4,5,7,9]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,8,7,9,6]=>[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]
[1,8,2,9,3,4,5,6,7]=>[1,8,2,9,3,4,5,6,7]=>[1,8,4,5,6,7,9,2,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]]
[1,7,9,2,3,4,5,6,8]=>[1,7,9,2,3,4,5,6,8]=>[1,3,4,5,6,8,7,9,2]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,9,10,2,3,4,5,6,7,8]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,6,4,8,7,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[5,6,4,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,2,4,7,8,5,3]=>[1,6,2,4,7,8,3,5]=>[1,4,5,6,8,2,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[3,4,7,2,8,1,6,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,3,8,4,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,4,8,7,1,2]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[4,6,8,5,3,7,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,6,8,7,4,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,8,5,3,4,7,1,2]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,6,5,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,8,5,2,7,3,6,4]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,2,7,5,1,8,6,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,8,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,5,1,3,4,2,8,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,4,5,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,3,6,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,5,8,6,4,1,3,7]=>[1,3,7,2,5,8,4,6]=>[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,8,7,4,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,7,8,2,4,3,5]=>[1,7,8,2,4,3,5,6]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[7,1,8,6,3,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,2,1,4,5,6,8,3]=>[1,4,5,6,8,2,3,7]=>[1,3,7,4,5,6,8,2]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[6,1,3,2,7,5,8,4]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,6,3,8,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,4,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,6,5,8,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,7,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,4,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[7,1,3,4,5,2,8,6]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,3,5,4,2,7,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,1,6,3,8,2,7,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,2,6,4,7,8,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,8,5,7,4,3,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,2,5,8,3,4,1,6]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,3,8,7,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,5,8,4,1,2,3,6]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[3,5,7,8,4,1,2,6]=>[1,2,6,3,5,7,8,4]=>[1,2,5,8,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,4,7,5,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[1,6,7,4,8,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,8,4,6,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,4,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,6,5,8,4,2,1,7]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,8,4,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,6,5,3,2,7,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[8,6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,5,8,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,5,8,2,6,4,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,3,8,5,7,6,2,4]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,8,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[8,3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,8,2,5,7,6,3,4]=>[1,8,2,5,7,3,4,6]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,1,8,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,5,8,6,1,7,3,4]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,6,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[7,6,5,8,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,1,7,6,8,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,1,6,4,3]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,8,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,2,8,6,5,7,3,4]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,2,1,3,6,7,8,5]=>[1,3,6,7,8,2,4,5]=>[1,4,3,5,8,6,7,2]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[8,2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7,8]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,6,5,4,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,1,5,3,4,7,8,2]=>[1,5,2,3,4,7,8,6]=>[1,3,4,5,2,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[7,5,6,2,4,1,8,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[8,1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,8,6,2,7,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,1,6,3,7,2,4]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,5,6,3,7,2,4]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,7,6,5,4,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,1,4,2,6,5,8,3]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,1,7,3,5,6,8,2]=>[1,7,2,3,5,6,8,4]=>[1,3,5,8,6,7,2,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[5,7,6,4,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,7,6,4,5,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,8,3,6,5,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,8,1,6,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,8,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,4,6,2,5,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,1,3,4,5,7,8,2]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[7,2,6,4,5,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,4,7,3,6,8,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[3,4,7,8,5,6,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[3,4,7,2,5,1,6,8]=>[1,6,8,2,5,3,4,7]=>[1,5,4,7,3,6,8,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,6,2,4,7,1,5,8]=>[1,5,8,2,4,7,3,6]=>[1,4,6,7,5,8,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,8,3,4,5,7,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,3,6,7,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,3,7,5,8,4,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,3,8,6,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,7,6,5,8,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,8,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,8,6,4,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,3,6,2,5,1,8,7]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,3,2,5,1,4,6]=>[1,4,6,2,5,3,7,8]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,8,1,2,5,6,3,4]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,1,6,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,8,6,4,7,3,5]=>[1,8,2,3,5,4,7,6]=>[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,8,7,2,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,5,7,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,1,6,4,7,2,5,8]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,4,7,5,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,7,1,4,2,3,8]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,8,1,3,2,4,7]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,8,5,1,3,4,2,7]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,8,3,4,5,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,2,4,3,1,5,7,8]=>[1,5,7,8,2,4,3,6]=>[1,4,6,3,5,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[4,2,8,3,1,7,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[5,3,7,4,1,6,2,8]=>[1,6,2,8,3,7,4,5]=>[1,6,7,5,8,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,4,7,3,6,1,8,5]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,8,7,6,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[7,5,6,8,1,4,3,2]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[2,4,7,1,6,5,3,8]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,3,1,2,8,4,5,7]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[2,8,1,4,5,6,3,7]=>[1,4,5,6,2,8,3,7]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,2,1,5,4,6,3,8]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,6,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,8,4,1,5,3,6,2]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,1,5,8,7,2]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,8,1,6,3,4,7,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,1,8,2,7,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,8,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,1,7,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,6,1,5,7,4,2,8]=>[1,5,7,2,8,3,6,4]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,1,7,5,6,4,8,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,1,7,6,4,8,3,2]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,1,7,8,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,1,8,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,7,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,3,7,4,6,8,2,5]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,7,6,5,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[8,1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,2,7,6,8,3,4,5]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,5,3,8,2,4]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,1,7,5,6,8,3,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,1,7,6,8,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,5,6,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[3,8,6,4,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[2,8,6,3,7,4,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,8,1,6,2,4,5,3]=>[1,6,2,4,5,3,7,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,8,4,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,4,7,1,8,3,2,6]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,7,4,1,8,5,2,6]=>[1,8,2,6,3,7,4,5]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,7,1,8,4,5,3,6]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,1,2,8,4,3,5,7]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,1,4,3,8,2,7]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,6,2,5,8,3,4,7]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,4,2,1,8,5,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,5,4,2,8,3,6,7]=>[1,5,2,8,3,6,7,4]=>[1,5,6,8,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[6,4,3,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[3,7,6,8,4,5,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,8,5,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,6,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,3,8,5,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[3,4,8,5,6,7,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,3,5,8,4,7,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,4,3,8,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,8,7,5,6,2,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,8,5,7,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,1,5,8,7,4,2,3]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,1,8,7,6,2,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,6,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[4,8,7,5,6,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,2,1,4,3,5,8,7]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,1,4,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[8,2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,4,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,2,4,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,1,4,3,5,8,7]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,6,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,4,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,8,4,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,8,1,4,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,4,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,8,2,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,8,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,8,4,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,4,1,8,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[4,6,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[4,2,6,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>[1,6,3,5,7,4,8,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,2,6,1,8,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[6,2,4,1,8,3,5,7]=>[1,8,2,4,3,5,7,6]=>[1,4,5,3,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,2,1,6,8,3,5,7]=>[1,6,8,2,3,5,7,4]=>[1,3,5,8,7,6,4,2]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[2,1,4,3,8,6,5,7]=>[1,4,2,3,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[2,4,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,2,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,2,1,8,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,1,8,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,1,8,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,8,1,6,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[4,2,8,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,4,8,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,1,8,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,4,8,3,6,5,7]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,8,1,6,3,5,7]=>[1,6,2,4,8,3,5,7]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,8,6,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[4,2,8,6,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[6,2,8,4,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[8,4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,8,2,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[4,6,8,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,8,4,1,3,5,7]=>[1,3,5,7,2,6,8,4]=>[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,6,1,8,4,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[2,1,6,8,4,3,5,7]=>[1,6,8,2,3,5,7,4]=>[1,3,5,8,7,6,4,2]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[2,1,8,6,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,3,5,6,7,8,4,2]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,1,6,4,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[2,8,6,4,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[4,8,6,2,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[6,8,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,2,4,3,8,1,7,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,3,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,2,4,1,5,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,3,6,1,5,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,3,5,2,8,1,7,6]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,3,8,2,6,1,7,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,3,8,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,3,8,1,5,2,7,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,8,3,4,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,4,8,1,3,2,7,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[2,1,5,4,8,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,7,6,8,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,8,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,7,1,8,5,6,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,6,5,8,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,5,4,7,2,8,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[6,3,5,4,8,1,7,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,6,5,8,1,3,2]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[8,4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4,8]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4,8]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[8,2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5,8]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,2,7,6,8,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,2,7,1,8,5,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,2,6,5,8,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,5,7,2,4,3,8,1]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,5,8,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,2,4,1,8,5,6,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,8,2,4,1,5,3]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[7,6,8,1,5,2,4,3]=>[1,5,2,4,3,6,8,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[2,1,7,3,8,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,1,3,2,8,5,6,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,5,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,8,2,6,4,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,2,8,1,5,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,2,7,4,5,3,8,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[5,4,7,2,6,3,8,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[6,5,8,1,7,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,1,6,5,8,3,7,4]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,7,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,7,4,8,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,8,1,7,2]=>[1,7,2,3,8,4,6,5]=>[1,3,7,6,8,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[2,8,3,1,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,5,3,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,4,8,3,5,7,6,1]=>[1,2,4,8,3,5,7,6]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[4,2,5,3,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,4,1,3,8,2,6,7]=>[1,3,8,2,6,7,4,5]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,5,8,4,3,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,6,4,8,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,8,5,4,3,2,6,7]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,7,4,3,8,5,2,6]=>[1,7,2,6,3,8,4,5]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[4,8,1,5,7,3,6,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,8,4,7,6,5,2,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[1,6,8,5,3,7,4,2]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,8,1,7,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,8,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,8,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,5,6,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,7,4,6,3,1,8,5]=>[1,8,2,7,3,4,6,5]=>[1,7,4,6,8,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,6,8,4,3,7,5,1]=>[1,2,6,8,3,7,4,5]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[7,2,6,3,4,1,8,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,7,1,8,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,1,7,3,5,8,4,6]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,8,2,6,3,1,5,4]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,2,8,7,4,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,8,5,2,6,7,4,3]=>[1,8,2,6,7,3,4,5]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,2,1,8,6,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,7,6,4,3,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[7,8,1,6,4,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,8,6,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,8,6,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,2,8,4,1]=>[1,2,8,3,5,7,4,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,3,8,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[2,8,4,6,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,8,5,7,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,3,4,7,5,8,1,2]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[4,8,3,7,1,2,6,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,6,4,1,7,2,5]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,8,1,2,5,7,6,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[2,8,7,5,4,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,8,6,7,4,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,6,8,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,3,7,8,2,4,6,1]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[8,3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5,8]=>[1,3,6,4,7,5,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,7,6,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,3,6,2,8,7,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,7,8,6,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[6,1,7,4,5,8,2,3]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,3,5,1,8,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,6,7,5,8,3,4]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,5,7,3,6,8,4]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,1,7,2,5,6,8,3]=>[1,7,2,5,6,8,3,4]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[2,4,7,1,6,5,8,3]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,6,2,1,8,7,5,3]=>[1,8,2,3,4,6,5,7]=>[1,3,4,6,7,5,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,6,2,7,8,5,1]=>[1,2,7,8,3,4,6,5]=>[1,2,4,6,8,5,7,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[5,6,3,1,8,7,2,4]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,4,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,2,7,1,6,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,8,2,7,6,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,8,2,7,6,5,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[3,8,2,7,6,5,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,8,7,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,7,2,1,6,5,3]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,8,7,3,1,6,5,2]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,8,7,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,8,7,3,6,2,5,1]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[4,8,7,3,6,2,1,5]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[4,8,7,3,6,1,5,2]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[4,8,7,3,6,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[4,8,7,3,6,5,2,1]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,8,7,6,3,1,4,2]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,7,6,3,2,4,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,8,7,6,2,4,3,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,8,7,6,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,8,7,6,4,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,7,6,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,3,4,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,3,5,2,6,4,1,8]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,2,1,5,6,4,3,8]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,3,5,1,6,4,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,5,7,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[7,4,5,6,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,7,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,5,7,1,3,8,2]=>[1,3,8,2,4,5,7,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]=>[1,3,5,7,4,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,1,5,7,4,8,3]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[3,2,1,5,7,4,8,6]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[2,4,6,7,3,8,1,5]=>[1,5,2,4,6,7,3,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,6,7,3,8,5,2]=>[1,4,6,7,2,3,8,5]=>[1,3,7,4,8,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[1,5,6,7,8,3,4,2]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,5,6,7,8,3,1,4]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,2,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[5,2,1,6,7,8,4,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,4,5,7,2,1,8,3]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,6,7,2,8,3,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[5,3,6,2,7,8,1,4]=>[1,4,2,7,8,3,6,5]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,3,5,2,7,1,8,4]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[6,3,4,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,3,4,1,2,7,8,6]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[4,3,6,2,7,8,1,5]=>[1,5,2,7,8,3,6,4]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,4,6,7,2,8,5,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[3,4,5,7,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,7,8,6,2]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,1,5,7,3,8,6]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[1,5,6,7,8,4,2,3]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[4,2,1,6,7,8,5,3]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[2,5,6,7,8,1,4,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,4,3,6,5,8,7,9]=>[1,4,2,3,6,5,8,7,9]=>[1,3,4,2,6,5,8,7,9]=>[.,[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,4,2,5,3,7,6,9,8]=>[1,4,2,5,3,7,6,9,8]=>[1,4,5,2,3,7,6,9,8]=>[.,[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]]
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[7,1,2,3,4,5,6,8,9]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[1,4,3,7,2,5,6,8]=>[1,4,2,5,6,8,3,7]=>[1,4,7,2,5,6,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,4,3,7,6,8,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,4,3,7,5,8,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,4,3,7,2,6,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,3,7,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,3,2,6,5,8,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,5,4,8,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,4,8,3,7,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,3,6,5,8,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,4,5,2,6,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[4,8,3,6,1,5,7,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,3,1,6,4,7,2]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,8,1,4,7,6,3,2]=>[1,4,7,2,3,5,8,6]=>[1,3,5,4,7,8,2,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,1,8,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,4,1,8,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,1,8,4,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,6,3,8,5,2,4,7]=>[1,6,2,4,7,3,8,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,1,3,8,5,2,4,7]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,1,8,3,6,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,2,8,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,2,8,3,6,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,8,3,6,1,5,4]=>[1,5,2,8,3,6,4,7]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[7,1,8,2,3,6,5,4]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,2,8,3,5,4,7]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[5,1,2,3,8,4,7,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[5,2,3,8,1,4,7,6]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,2,4,1,8,7,3,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,6,4,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,6,3,8,7,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,6,3,8,5,1,4,7]=>[1,4,7,2,6,3,8,5]=>[1,6,7,4,8,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,5,1,8,3,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,5,1,3,8,4,7,6]=>[1,3,8,2,5,4,7,6]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,2,5,3,8,4,7,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,4,8,1,3,7,6,5]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,4,8,3,7,6,1,5]=>[1,5,2,4,8,3,7,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,3,8,1,7,4,6]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,4,8,2,7,6]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,8,2,3,7,6,1,5]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,2,3,7,1,6,5]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,1,2,3,7,6,5]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[1,4,8,2,3,7,6,5]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[1,4,8,3,7,2,6,5]=>[1,4,8,2,6,3,7,5]=>[1,6,7,4,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,3,8,1,5,2,4,7]=>[1,5,2,4,7,3,8,6]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,1,3,8,2,4,7,6]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,5,3,8,2,4,7,6]=>[1,5,2,4,7,3,8,6]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,5,4,8,2,7,6,3]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,4,8,1,2,7,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,5,1,2,8,7,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,6,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,1,6,2,8,7,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,5,8,2,7,6,3]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,3,5,2,8,7,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,5,1,2,8,7,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,2,8,7,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,6,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,3,1,5,8,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[1,3,4,8,2,7,6,5]=>[1,3,4,8,2,7,5,6]=>[1,7,3,4,6,8,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,4,8,1,2,7,6,5]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[3,4,8,2,7,1,6,5]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,4,8,2,7,6,1,5]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,2,5,8,1,7,6,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,2,1,5,3,6,4]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,2,7,3,5,8]=>[1,2,7,3,5,8,4,6]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,3,7,5,4,1,8,6]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,8,1,5,4,2,6,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,3,5,4,1,6,2]=>[1,6,2,3,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,2,5,4,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,2,4,7,1,8]=>[1,8,2,4,7,3,6,5]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,2,1,7,3,8,5]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,7,5,8,6,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,2,7,1,8,3,6,5]=>[1,8,2,7,3,6,4,5]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,2,6,7,4,8,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,4,7,2,6,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,7,6,5,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,7,6,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,7,6,5,2,4,8,3]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,7,6,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[5,7,6,3,8,4,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[4,7,6,5,2,1,3,8]=>[1,3,8,2,4,7,5,6]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,7,6,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,7,6,5,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[1,7,6,5,2,8,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,7,6,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[4,7,6,5,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,1,6,2,4,7,8,3]=>[1,6,2,4,7,8,3,5]=>[1,4,5,6,8,2,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,1,8,2,6,3,5,7]=>[1,8,2,6,3,5,7,4]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[1,2,6,7,4,8,5,3]=>[1,2,6,7,3,4,8,5]=>[1,2,4,7,8,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[4,7,6,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,7,1,2,5,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[3,7,6,5,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,4,7,3,6,8,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,7,6,5,1,4,8,2]=>[1,4,8,2,3,7,5,6]=>[1,3,7,4,6,8,5,2]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,7,6,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,7,6,5,8,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,4,5,3,7,8,2,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,7,6,5,8,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[2,7,6,5,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,7,6,5,8,1,3,4]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[2,7,6,5,8,4,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,2,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,2,1,7,3,5,8,6]=>[1,7,2,3,5,8,4,6]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,3,7,4,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,7,2,5,3,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,5,4,7,3,8,6,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,7,5,4,1,3,8,6]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,5,4,3,2,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,1,8,4,3,7]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,6,3,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,7,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,7,6,2,4,8,3,5]=>[1,7,2,4,8,3,5,6]=>[1,4,5,7,6,8,2,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,7,3,6,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,2,7,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[7,1,8,5,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,1,6,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,8,6,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[1,3,7,5,6,8,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,8,6,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,8,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,8,5,7,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,8,5,7,2,4,6,3]=>[1,8,2,4,6,3,5,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,8,6,1,7,2,5,4]=>[1,7,2,5,3,8,4,6]=>[1,5,7,6,3,8,2,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,8,4,6,7,1,3,2]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[7,2,8,5,6,1,4,3]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,7,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[3,7,2,6,8,4,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,6,5,8,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,5,4,8,3,2,1,7]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[8,4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,5,8,1,4,3,7]=>[1,4,2,5,8,3,7,6]=>[1,4,7,2,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,3,6,8,2,1,5,7]=>[1,5,7,2,3,6,8,4]=>[1,3,6,8,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[6,3,5,1,8,4,2,7]=>[1,8,2,7,3,5,4,6]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[8,4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,2,5,8,3,1,7]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,4,1,6,8,2,3,7]=>[1,6,8,2,3,7,4,5]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,5,2,1,7,8,3,4]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[6,3,7,4,8,5,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[4,7,2,5,8,6,3,1]=>[1,2,5,8,3,4,7,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[6,3,1,8,4,7,5,2]=>[1,8,2,3,4,7,5,6]=>[1,3,4,7,6,8,5,2]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,4,2,8,7,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,3,8,7,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,1,7,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,2,8,1,7,3,6,4]=>[1,7,2,8,3,6,4,5]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[6,4,8,2,1,7,5,3]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[3,6,8,1,4,7,5,2]=>[1,4,7,2,3,6,8,5]=>[1,3,6,4,8,7,2,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,4,7,8,1,5,3,2]=>[1,5,2,3,4,7,8,6]=>[1,3,4,5,2,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[6,3,7,8,5,2,4,1]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,8,7,6,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,8,7,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[4,7,3,8,6,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[7,5,8,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,8,7,3,6,4,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[4,8,7,6,2,5,3,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[3,8,7,6,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,8,7,6,5,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,1,4,5,6,7,8,9]=>[1,4,5,6,7,8,9,2,3]=>[1,3,9,4,5,6,7,8,2]=>[.,[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,6,7,8,1,2,3,4,9]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,4,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,2,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[8,6,9,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[7,8,9,4,5,6,1,2,3,10]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,5,4,3,2,1,9,10]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[3,6,5,1,2,4,8,7]=>[1,2,4,8,3,6,5,7]=>[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,5,8,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,4,6,3,7,2,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,8,5,7,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,2,6,4,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,1,2,5,4,3,8,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,1,2,4,6,3,8,7]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,1,2,6,5,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,1,5,7,8,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,6,4,8,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[4,1,5,8,7,3,2,6]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,7,1,8,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,5,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,5,8,7,3,4,6]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,1,8,7,5,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,7,1,6,3,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,4,7,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,1,2,3,7,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,2,3,5,8,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[6,8,1,4,3,7,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,7,3,4,8,6,5]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[7,8,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,7,1,4,3,8,2,5]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,1,2,3,6,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,5,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,8,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,2,7,3,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,7,2,8,3,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,8,7,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,7,8,1,4,2,6,5]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,6,8,1,4,2,7,5]=>[1,4,2,7,3,6,8,5]=>[1,4,6,2,8,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,5,7,8,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,6,7,1,4,2,8,5]=>[1,4,2,8,3,6,7,5]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,7,3,2,4,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,2,3,5,6,8,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[6,1,2,3,8,7,4,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,2,3,7,8,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[5,1,2,3,8,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,2,3,8,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,2,3,5,8,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,6,3,4,8,7,5]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,6,2,4,3,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,3,5,7,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[5,1,2,3,6,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,8,1,2,6,3,5,4]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,2,8,5,4,7,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,6,7,8,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,3,8,5,4,2,7,6]=>[1,3,8,2,7,4,5,6]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,3,6,8,4,7,5,2]=>[1,3,6,8,2,4,7,5]=>[1,4,3,7,8,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,4,8,5,7,6,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,5,1,2,4,3,6,8]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[7,4,6,1,5,2,3,8]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,4,2,6,3,5,8]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[1,6,4,2,8,3,5,7]=>[1,6,2,8,3,5,7,4]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[1,6,3,8,5,4,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,8,1,7,3,5,4,2]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,3,6,5,4,2,8]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,3,1,6,5,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,2,3,6,5,1,4,8]=>[1,4,8,2,3,6,5,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,3,6,5,4,8]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,1,2,7,3,5,4]=>[1,2,7,3,5,4,6,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,5,8,2,7,6,3,4]=>[1,5,8,2,7,3,4,6]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[5,1,8,2,7,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,4,5,6,8,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,8,2,7,6,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,2,8,1,7,3,5,4]=>[1,7,2,8,3,5,4,6]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[6,8,2,1,7,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,1,8,7,6,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,5,3,8,7,4,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,5,3,8,7,4,6]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,8,7,6,5,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,5,3,8,7,1,6,4]=>[1,6,2,5,3,8,4,7]=>[1,5,6,7,3,2,8,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,5,8,4,1,7,6,3]=>[1,7,2,5,8,3,4,6]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,5,8,7,1,4,2,6]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,3,8,4,1,7,6,2]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,2,8,7,6,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,5,6,4,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,2,8,7,6,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,6,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,1,8,7,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,8,3,7,6,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[5,1,3,8,7,6,2,4]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,5,3,8,7,6,2,4]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,5,8,4,7,2,6,3]=>[1,5,8,2,6,3,4,7]=>[1,6,4,7,5,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,7,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,8,5,1,2,4,7,3]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,2,4,3,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,1,2,4,3,8,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,5,8,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,5,8,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,3,2,5,8,7,4,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,5,1,8,7,2,6,4]=>[1,8,2,6,3,5,4,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,5,8,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,5,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,2,5,8,7,1,6,4]=>[1,6,2,5,8,3,4,7]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,4,8,7,6,5,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,3,4,8,7,6,2,5]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,8,7,6,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[4,5,8,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,3,5,8,7,4,6]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,7,5,8,6,4,3]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,8,1,3,7,5,2,4]=>[1,3,7,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,7,8,1,2,6,5,4]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[2,8,1,6,7,3,5,4]=>[1,6,7,2,8,3,5,4]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,6,8,3,7,1,5,4]=>[1,5,2,6,8,3,7,4]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,8,3,4,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,3,7,4,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,4,6,5,2,7,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[8,4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,8,3,7,2,5,4]=>[1,6,8,2,5,3,7,4]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,4,6,8,2,7,5,3]=>[1,4,6,8,2,7,3,5]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,6,5,8,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,8,4,5,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,8,7,3,6,1,2,4]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[8,3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,8,2,7,5,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,8,4,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4,8]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[8,3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,8,4,5,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,7,2,3,6,1,4]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[8,7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
searching the database
Sorry, this map was not found in the database.