Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00019: Binary trees —right rotate⟶ Binary trees
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00019: Binary trees —right rotate⟶ Binary trees
Images
=>
Cc0010;cc-rep-2Cc0010;cc-rep-3
[1]=>[1]=>[.,.]=>[.,.]
[1,2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[2,1]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[[.,.],.],.]
[2,1,3]=>[1,3,2]=>[.,[[.,.],.]]=>[[[.,.],.],.]
[2,3,1]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[3,1,2]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[1,4,3,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[2,1,3,4]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[2,1,4,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[2,3,1,4]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[2,3,4,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,4,1,3]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[2,4,3,1]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[3,1,4,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[3,2,1,4]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[3,2,4,1]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[3,4,1,2]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[3,4,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[4,1,2,3]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[4,1,3,2]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[4,2,1,3]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[4,2,3,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[4,3,1,2]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,2,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,2,5,4,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[1,3,4,2,5]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[1,3,4,5,2]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[1,3,5,2,4]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[1,3,5,4,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[1,4,2,5,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[1,4,3,2,5]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[1,4,3,5,2]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[1,4,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[1,4,5,3,2]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[1,5,2,4,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[1,5,3,2,4]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[1,5,3,4,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[1,5,4,2,3]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[1,5,4,3,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[2,1,3,4,5]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[2,1,3,5,4]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[2,1,4,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[2,1,4,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[2,1,5,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[2,1,5,4,3]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[2,3,1,4,5]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[2,3,1,5,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[2,3,4,1,5]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[2,3,4,5,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,5,1,4]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[2,3,5,4,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,4,1,3,5]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[2,4,1,5,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[2,4,3,1,5]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[2,4,3,5,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,1,3]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[2,4,5,3,1]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,5,1,3,4]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[2,5,1,4,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[2,5,3,1,4]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[2,5,3,4,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,1,3]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[2,5,4,3,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[3,1,2,4,5]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[3,1,2,5,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[3,1,4,2,5]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[3,1,4,5,2]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[3,1,5,2,4]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[3,1,5,4,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[3,2,1,4,5]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[3,2,1,5,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[3,2,4,1,5]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[3,2,4,5,1]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[3,2,5,1,4]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[3,2,5,4,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[3,4,1,2,5]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[3,4,1,5,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[3,4,2,1,5]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[3,4,2,5,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[3,4,5,1,2]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[3,4,5,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[3,5,1,2,4]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[3,5,1,4,2]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[3,5,2,1,4]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[3,5,2,4,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[3,5,4,1,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[3,5,4,2,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[4,1,2,3,5]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[4,1,2,5,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[4,1,3,2,5]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[4,1,3,5,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[4,1,5,2,3]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[4,1,5,3,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[4,2,1,3,5]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[4,2,1,5,3]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[4,2,3,1,5]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[4,2,3,5,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[4,2,5,1,3]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[4,2,5,3,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[4,3,1,2,5]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[4,3,1,5,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[4,3,2,1,5]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[4,3,2,5,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[4,3,5,1,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[4,3,5,2,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[4,5,1,2,3]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[4,5,1,3,2]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[4,5,2,1,3]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[4,5,2,3,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[4,5,3,1,2]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[4,5,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,1,2,3,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,1,2,4,3]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[5,1,3,2,4]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[5,1,3,4,2]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[5,1,4,2,3]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,1,4,3,2]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,2,1,3,4]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[5,2,1,4,3]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,2,3,1,4]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,2,3,4,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,2,4,1,3]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[5,2,4,3,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[5,3,1,2,4]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[5,3,1,4,2]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,3,2,1,4]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,3,2,4,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[5,3,4,1,2]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,3,4,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,4,1,2,3]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,4,1,3,2]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[5,4,2,1,3]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[5,4,2,3,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,4,3,1,2]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[[.,[[.,.],[.,[.,.]]]],.]
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[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[[.,[[.,.],[.,[.,.]]]],.]
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[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
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[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
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[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
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[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
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[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
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[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
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[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
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[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
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[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,4,8,3,2,1]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,5,7,4,8,3,2,1]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,5,4,6,8,3,2,1]=>[1,2,3,4,6,8,5,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[5,4,6,7,3,8,2,1]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,6,5,3,4,8,2,1]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,6,4,3,5,8,2,1]=>[1,2,3,5,8,4,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,3,4,5,7,8,2,1]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,3,5,6,7,8,2,1]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,3,2,4,5,6,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,7,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,7,4,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,4,5,7,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,4,3,7,2,8,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[5,4,6,3,7,2,8,1]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[7,6,5,4,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,6,5,3,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,4,3,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,4,5,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,2,3,4,6,7,8,1]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[4,3,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,4,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,2,3,5,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,2,4,5,6,7,8,1]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,8,4,3,1,2]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
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[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
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[8,4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,4,7,3,8,1,2]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[5,4,6,7,3,8,1,2]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,6,3,7,8,1,2]=>[1,2,3,7,8,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
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[6,4,3,5,7,8,1,2]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[6,3,4,5,7,8,1,2]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,3,5,6,7,8,1,2]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,8,5,4,2,1,3]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,8,4,1,2,3]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
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[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
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[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[6,7,5,8,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
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[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,8,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
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[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,5,7,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
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[7,6,4,3,2,1,5,8]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,6,4,3,1,2,5,8]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
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[7,2,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
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[2,3,4,5,6,1,7,8]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
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[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
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[5,4,3,6,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
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[6,4,3,2,1,5,7,8]=>[1,5,7,8,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
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[6,2,3,1,4,5,7,8]=>[1,4,5,7,8,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,1,2,3,4,5,7,8]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
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[2,3,4,5,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
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[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,4,1,5,6,7,8]=>[1,5,6,7,8,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,1,2,5,6,7,8]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,2,1,4,5,6,7,8]=>[1,4,5,6,7,8,2,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
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[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,8,2,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,1,2,3,8,4,6,7]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,1,2,3,4,6,8,7]=>[1,2,3,4,6,8,5,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
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[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[6,7,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,1,2,3,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
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[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,6,3,7,4,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
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[6,1,2,3,4,7,8,5]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,1,2,8,3,4,5,7]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,6,2,8,3,4,5,7]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,8,2,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,2,6,3,4,8,5,7]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,1,2,3,4,5,8,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,8,2,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,2,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,2,3,4,8,5,6]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[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]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
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[5,3,2,6,1,4,8,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,3,2,5,4,8,1,6]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,4,5,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,5,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,7,5,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,1,7,5,4,8,3,6]=>[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,8,5,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,8,4,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,4,3,7,1,5,2]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,8,6,7,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
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[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,7,1,6,8,4,2,5]=>[1,6,8,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
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[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[5,4,7,2,1,8,3,6]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
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[8,3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,3,2,6,8,4,1,5]=>[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
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[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,4,8,2,7,1,5,3]=>[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,8,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,1,8,2,7,6,4]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,1,5,8,3,7,6,4]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[8,5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,7,8,6,1,4,2,3]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,7,8,1,6,5,2,3]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,7,1,8,6,5,2,4]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,8,7,5,4,1,3,2]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[6,7,8,9,10,1,2,3,4,5]=>[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]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[4,3,2,1,10,9,8,7,6,5]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,2,6,1,4,5,7,8]=>[1,4,5,7,8,2,6,3]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,3,5,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[8,3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[5,3,6,7,1,2,4,8]=>[1,2,4,8,3,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[6,2,5,7,1,3,4,8]=>[1,3,4,8,2,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[6,3,5,7,1,2,4,8]=>[1,2,4,8,3,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[4,3,6,8,1,2,5,7]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,4,8,1,3,5,7]=>[1,3,5,7,2,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,3,5,8,1,2,4,7]=>[1,2,4,7,3,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,2,7,8,1,4,5,6]=>[1,4,5,6,2,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,3,4,8,1,2,5,6]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[8,2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,6,2,4,1,3,7,8]=>[1,3,7,8,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,7,3,6,1,2,5,8]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,8,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[4,8,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,8,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,8,2,7,1,4,5,6]=>[1,4,5,6,2,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,8,3,7,1,2,5,6]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,8,2,7,1,3,4,6]=>[1,3,4,6,2,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[5,8,3,7,1,2,4,6]=>[1,2,4,6,3,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,8,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,8,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,2,7,1,5,6,8]=>[1,5,6,8,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,3,2,7,1,4,6,8]=>[1,4,6,8,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,3,2,8,1,5,6,7]=>[1,5,6,7,2,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,4,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,5,3,8,1,2,4,7]=>[1,2,4,7,3,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,5,4,8,1,2,3,7]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,4,2,8,1,3,5,6]=>[1,3,5,6,2,8,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[7,4,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[8,4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[8,4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,6,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,2,4,8,1,3,6]=>[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,7,3,4,8,1,2,5]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,8,4,6,7,1,2,3]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[6,8,2,5,7,1,3,4]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[7,8,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,4,2,6,8,1,3,7]=>[1,3,7,2,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[6,3,2,5,8,1,4,7]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,5,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,3,2,7,8,1,5,6]=>[1,5,6,2,7,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,4,7,2,5,1,3,8]=>[1,3,8,2,5,4,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,5,8,2,7,1,3,4]=>[1,3,4,2,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[7,5,8,2,4,1,3,6]=>[1,3,6,2,4,5,8,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,8,2,6,1,3,4]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[8,3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,3,2,7,1,6,8]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,3,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[7,5,3,2,6,1,4,8]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,4,3,2,8,1,6,7]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,5,3,2,8,1,4,7]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,3,2,8,1,4,6]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[8,7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,5,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,1,2,3,8,7,4,6]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,1,2,8,7,3,5,6]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[4,1,2,7,6,3,8,5]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,1,2,5,6,3,8,4]=>[1,2,5,6,3,8,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[4,1,2,5,8,7,3,6]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,1,7,2,6,4,8,5]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,1,8,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,1,4,2,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,5,2,3,8,4,7]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,4,2,7,3,8,6]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,4,2,8,7,3,6]=>[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,1,4,2,6,7,8,3]=>[1,4,2,6,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,1,4,8,2,3,5,6]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,1,8,5,2,3,4,6]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,4,5,2,7,8,3]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,4,8,7,2,5,6]=>[1,4,8,2,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,1,7,5,6,2,8,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,4,5,8,7,2,6]=>[1,4,5,8,2,6,3,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,1,8,5,6,7,2,4]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,3,1,2,4,5,8,6]=>[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[8,3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[8,3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,6,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,8,1,2,3,7,4,6]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[8,6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,4,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,4,1,2,6,3,8,5]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,8,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[8,7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,7,1,2,6,3,8,4]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,4,1,2,8,7,3,6]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,8,1,2,6,7,3,4]=>[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,4,1,2,6,7,8,3]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,1,6,2,7,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,1,5,2,7,8,4]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,4,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,4,1,6,2,3,8,5]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
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[6,7,1,5,2,3,8,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,1,5,2,8,3,7]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,1,5,2,7,8,3]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,1,8,7,2,5,6]=>[1,8,2,5,6,3,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,3,1,7,6,2,8,5]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
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[7,3,1,5,6,2,8,4]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
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[7,8,1,5,6,2,3,4]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,4,1,5,6,2,8,3]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
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[4,3,1,8,6,7,2,5]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[8,4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,8,1,6,7,4,5]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,6,4,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[2,7,5,1,3,4,8,6]=>[1,3,4,8,2,7,5,6]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]
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[2,8,5,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
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[2,8,4,1,6,3,5,7]=>[1,6,2,8,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[2,7,4,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
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[2,7,5,1,6,3,8,4]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,5,4,1,8,7,3,6]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
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[2,5,4,1,6,7,8,3]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
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[6,3,5,1,2,7,8,4]=>[1,2,7,8,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,7,4,1,2,3,8,5]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,8,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,7,5,1,2,3,8,4]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[8,5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
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[6,8,5,1,2,7,3,4]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,4,1,2,7,8,3]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
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[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[8,5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,8,5,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,5,4,1,6,2,8,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,4,1,6,8,2,7]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,4,1,8,7,2,6]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
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[8,5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,4,1,6,7,8,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
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[2,3,8,6,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,6,5,1,7,8,4]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
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[9,1,2,3,4,5,6,7,8]=>[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]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[8,1,2,3,9,4,5,6,7]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]],.]
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[9,1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,9,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,9,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,9,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]],.]
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,7,9,1,8]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,5,2,6,1,4,8,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[3,5,2,7,4,8,1,6]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,5,2,7,4,8,6,1]=>[1,2,7,3,5,4,8,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[4,5,7,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,7,3,2,8,6,1]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,7,1,3,8,2,6]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,5,1,7,4,8,2,6]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[2,1,5,7,4,8,3,6]=>[1,5,7,2,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,5,7,4,8,6,3]=>[1,5,7,2,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,5,7,1,3,8,6,2]=>[1,3,8,2,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,3,8,5,1,2]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,6,7,3,8,5,2,1]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,7,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,6,1,7,8,4,5,2]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,6,7,8,4,3,5]=>[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,6,1,7,8,4,2,5]=>[1,7,8,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,6,2,7,8,4,5,1]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,6,2,7,8,4,1,5]=>[1,5,2,7,8,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,2,7,8,1,4,5]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,2,7,1,8,4,6]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,2,7,1,8,6,4]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[3,6,2,7,8,1,5,4]=>[1,5,2,7,8,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,2,7,8,5,1,4]=>[1,4,2,7,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,6,2,7,8,5,4,1]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,6,7,2,8,5,3,1]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[4,6,7,2,8,5,1,3]=>[1,3,2,8,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,5,7,1,2,8,6,3]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,1,5,7,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,6,7,8,3,5,4]=>[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,6,1,7,8,2,5,4]=>[1,7,8,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,6,7,1,8,5,2,3]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[3,6,1,7,8,5,2,4]=>[1,7,8,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,6,1,7,8,5,4,2]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,6,7,1,8,5,3,2]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,7,8,4,1,3,2]=>[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]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[4,5,6,3,2,1,9,10,8,7]=>[1,9,10,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[6,7,8,9,10,5,4,3,2,1]=>[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]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,7,4,5,1,8,3]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,6,7,4,5,2,3,8]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,4,7,6,2,3,8]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,5,4,7,6,1,8,3]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[4,5,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,8,3,7,5,1,2]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[5,3,4,8,6,7,1,2]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[4,3,5,6,8,7,1,2]=>[1,2,3,5,6,8,4,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[3,2,5,6,1,8,7,4]=>[1,8,2,5,6,3,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,2,5,6,8,1,7,3]=>[1,7,2,5,6,8,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,2,4,8,6,1,7,3]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,2,4,5,1,6,3]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,8,1,4,5,2,3,6]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,1,3,2,8,6,5,7]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[5,1,3,8,2,6,4,7]=>[1,3,8,2,6,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[6,1,8,3,2,5,4,7]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,2,3,1,5,6,4]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,2,8,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,3,8,1,6,7,4]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,2,7,8,1,6,3]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,5,3,7,1,6,8,4]=>[1,6,8,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,6,7,3,2,5,4,8]=>[1,6,7,2,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,4,1,8,7,2,3,6]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,3,1,2,6,4,5]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,3,1,8,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,2,1,3,8,5,7,6]=>[1,3,8,2,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[5,2,1,8,3,4,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[7,8,2,1,3,4,6,5]=>[1,3,4,6,2,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,3,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,3,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,4,5,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,6,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,6,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,6,5,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,5,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,7,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,7,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,7,5,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,7,1,5,2,8,4,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,8,5,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,8,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,4,7,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,3,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,5,8,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,5,1,8,2,7,4,6]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,1,5,8,3,7,4,6]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,6,8,7,3,4,5]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[6,4,7,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[6,4,7,2,5,1,8,3]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,4,8,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[5,4,2,6,7,1,8,3]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,2,6,7,1,3,8]=>[1,3,8,2,6,7,4,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[5,3,2,6,1,7,4,8]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,4,8,2,5,1,7,3]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,8,4,2,5,1,6,3]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,3,8,2,1,5,4,7]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,2,1,5,6,4]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,8,1,6,7,4]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,2,7,8,1,6,3]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,3,2,7,1,6,8,4]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,2,7,1,6,4,8]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,7,2,1,5,8,4]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,4,7,2,8,1,5,3]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,7,8,2,1,4,3]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,5,8,7,2,1,3,4]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[6,3,7,2,1,4,5,8]=>[1,4,5,8,2,3,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[5,3,2,7,1,4,8,6]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,3,2,8,1,4,7,6]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,3,8,2,1,4,7,5]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,3,2,1,4,6,5]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,8,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,8,1,4,6,2,5,3]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,1,8,4,7,2,5,3]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,6,8,4,7,2,5,3]=>[1,6,8,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,6,8,3,2,7,5,4]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,3,1,2,6,5,4]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,8,2,4,6,1,5,3]=>[1,5,2,4,6,3,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,2,1,3,6,5,4]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,8,2,3,7,5,4]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,8,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[3,6,8,4,7,5,1,2]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[2,6,8,4,7,1,5,3]=>[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,6,8,1,3,7,5,4]=>[1,3,7,2,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,5,1,8,3,7,6,4]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,5,3,8,1,7,6,4]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,5,4,8,7,1,6,3]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,4,2,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,3,8,1,2,7,5,4]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,5,3,8,2,7,6,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,4,8,7,2,6,3]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,4,8,7,2,6,3]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,4,8,1,7,2,5,3]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,8,7,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,5,8,7,2,6,3]=>[1,5,8,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,4,5,8,7,2,6,3]=>[1,4,5,8,2,6,3,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,3,5,8,2,7,6,4]=>[1,3,5,8,2,7,4,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,6,8,1,2,7,5,4]=>[1,2,7,3,6,8,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,6,8,2,1,7,5,4]=>[1,7,2,3,6,8,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,2,5,8,1,7,6,4]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,2,5,8,7,1,6,3]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,4,5,8,7,1,6,3]=>[1,6,2,4,5,8,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,1,6,2,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,2,7,1,4,3,8,6]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,2,8,1,4,3,7,6]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,2,8,1,4,3,7,5]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,2,7,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,1,7,2,5,4,8,6]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,1,8,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,1,8,2,5,3,7,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,1,8,3,6,4,7,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,1,7,3,6,4,8,5]=>[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,7,1,5,3,8,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,1,5,2,7,3,8,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,1,4,2,7,3,8,5]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,1,3,2,6,4,8,5]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,1,3,2,7,4,8,5]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,4,3,8,5,7,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,1,4,2,8,5,7,6]=>[1,4,2,8,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,1,3,2,8,5,7,6]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[5,1,3,2,8,4,7,6]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[6,1,3,2,8,4,7,5]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,4,8,1,3,2,6,5]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,1,4,2,8,3,7,5]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,1,5,2,8,3,7,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,1,5,2,8,4,7,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,5,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,5,2,8,3,7,4]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,1,8,4,7,3,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,1,7,4,8,3,6,5]=>[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,1,7,4,8,2,6,5]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,3,6,2,8,1,4,7]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,3,6,2,4,8,1,7]=>[1,7,2,4,8,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,7,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,7,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,4,2,5,8,3,6,1]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[7,4,2,5,8,3,1,6]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,6,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,5,3,8,2,1,6]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,5,3,8,2,6,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,7,1,5,8,3,2,6]=>[1,5,8,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,5,8,2,4,6,1,3]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[7,3,5,8,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,5,1,7,8,3,6,2]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,4,1,5,8,3,6,2]=>[1,5,8,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,1,6,7,3,8,4,2]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,8,3,1,4,5,2]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,1,7,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,1,6,7,3,2,8,4]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,6,2,7,3,8,4,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,8,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[5,7,3,1,8,2,4,6]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,4,2,1,8,3,5]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,6,7,2,8,4,5,1]=>[1,2,8,3,6,7,4,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,7,3,8,2,1,4,6]=>[1,4,6,2,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,7,8,2,1,5,6]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,7,8,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,7,8,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,7,8,5,2,1,4]=>[1,4,2,3,6,7,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,7,8,5,2,4,1]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,4,7,8,2,5,3,1]=>[1,2,5,3,4,7,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,4,7,8,2,1,5,3]=>[1,5,2,3,4,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,5,7,8,2,6,3]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,7,8,1,6,2,4]=>[1,6,2,4,3,7,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,7,2,8,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[6,4,1,7,8,2,5,3]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,1,6,2,7,8,4,3]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,1,6,7,2,8,4,3]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,7,1,8,2,5,3]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[8,3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,5,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,2,4,5,8,3,6,1]=>[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[8,2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,4,5,8,3,2,6,1]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,6,7,2,8,5,1]=>[1,2,8,3,6,7,4,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,5,8,2,1,4,6,3]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,5,3,8,4,1,6,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[4,3,6,7,8,1,5,2]=>[1,5,2,3,6,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,6,7,1,4,8,5,2]=>[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,2,4,1,7,8,5,3]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,3,6,7,8,2,4]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,5,6,7,8,2,4,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[5,2,7,1,3,8,4,6]=>[1,3,8,2,7,4,6,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]
[5,3,1,7,8,2,4,6]=>[1,7,8,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[4,5,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,2,6,7,8,3,1,5]=>[1,5,2,6,7,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,2,6,7,8,3,5,1]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,6,2,7,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,1,6,4,7,8,5]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,7,4,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,7,3,4,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,7,2,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[7,8,4,2,1,3,6,5]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,4,7,8,5,2,3,1]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,6,4,7,8,1,5,3]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,6,2,7,8,1,5,3]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[7,4,1,5,8,6,2,3]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[7,5,8,2,1,6,3,4]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,1,7,8,2,5,4]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,1,2,6,7,8,4,3]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,2,6,7,8,4,1,3]=>[1,3,2,6,7,8,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,2,6,7,8,4,3,1]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,5,6,7,8,4,1,3]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,6,4,7,8,5,2,3]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,6,7,1,3,8,5,4]=>[1,3,8,2,6,7,4,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,3,8,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,4,7,8,5,3,1,2]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,4,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,5,6,3,4,8,7,2]=>[1,5,6,2,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,6,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[3,2,6,7,4,5,1,8]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,7,2,6,5,3,1,8]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,5,4,8,3,6,2]=>[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,8,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,8,6,2,4,1,3,7]=>[1,3,7,2,4,5,8,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,8,2,6,5,1,3,7]=>[1,3,7,2,6,4,8,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,2,8,6,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,1,5,4,2,8,7,3]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,5,4,8,2,6,3]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,8,6,7,4,5,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,1,6,8,4,2,5,3]=>[1,6,8,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,1,7,8,2,4,5,3]=>[1,7,8,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,8,7,1,5,4,6]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,2,7,1,5,3,6]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,7,2,1,4,3,6]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,8,7,1,2,4,3,5]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[7,8,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,7,6,8,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,8,1,3,2,4,5]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,8,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,7,2,8,1,3,5,6]=>[1,3,5,6,2,8,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,6,8,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,8,3,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,8,3,1,2,4,6]=>[1,2,4,6,3,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,4,3,7,8,5,6,2]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,4,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,5,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,5,4,8,1,6,7]=>[1,6,7,2,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,5,8,3,7,6,4,2]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,5,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[6,5,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,6,2,1,3,8,7,5]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,2,6,1,4,8,7,5]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,2,7,1,8,4,6,5]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,7,2,1,8,3,6,5]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,7,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,7,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,6,8,7,3,5,4,2]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[1,7,8,6,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,8,1,6,5,2,3,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,1,2,7,6,3,4]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,1,8,7,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,1,8,6,5,2,4,3]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,2,6,5,8,7,4]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,1,5,2,4,8,7,6]=>[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,6,1,2,3,8,7,5]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,5,2,4,8,7,3]=>[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[7,4,1,2,8,3,6,5]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,5,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,4,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,7,6,8,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,7,1,2,8,3,6,5]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,4,3,8,7,5,6,2]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[3,1,7,6,2,4,5,8]=>[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,7,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,8,1,2,7,3,6,5]=>[1,2,7,3,6,4,8,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,8,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,1,8,2,7,4,6,3]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[1,5,8,3,7,4,6,2]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,8,7,3,4,5,2]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[5,8,7,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,2,5,1,6,4,8,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,2,5,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,2,5,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,2,5,3,7,1,8,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,2,5,3,6,1,8,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,2,5,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,1,5,4,6,2,8,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,5,1,6,2,8,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[4,3,6,2,7,5,8,1]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,3,6,1,7,2,8,5]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,1,5,4,7,2,8,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,5,4,7,3,8,6]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,1,5,4,7,6,8,2]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,5,3,7,6,8,2]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,5,1,7,6,8,2]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,3,6,1,7,5,8,2]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,3,6,4,7,2,8,1]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,3,6,4,7,1,8,2]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,3,6,1,7,4,8,2]=>[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,1,6,3,7,4,8,2]=>[1,6,2,3,7,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,1,6,3,7,5,8,2]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,1,6,4,7,5,8,2]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,6,4,7,5,8,3]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,1,6,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,6,3,7,2,8,4]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,6,1,7,2,8,4]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[5,3,6,2,7,4,8,1]=>[1,2,7,3,6,4,8,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,2,6,3,7,4,8,1]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,2,6,3,7,1,8,4]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,5,1,7,3,8,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,6,3,7,1,8,5]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,3,7,5,8,1]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,2,6,4,7,5,8,1]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,2,6,1,7,4,8,5]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,5,1,7,4,8,6]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,2,4,1,7,5,8,6]=>[1,7,2,4,3,5,8,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,1,4,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,6,5,7,1,8,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,5,7,3,8,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,2,6,5,7,1,8,3]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,5,1,7,6,8,3]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,1,5,2,7,6,8,3]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,5,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,6,3,7,5,8,4]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,1,6,2,7,5,8,4]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,1,6,2,7,5,8,3]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
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[5,2,6,1,7,4,8,3]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,6,4,7,3,8,1]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
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[2,1,6,5,7,3,8,4]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,6,5,7,4,8,2]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,1,6,5,7,3,8,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,5,2,4,1,8,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
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[8,6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,7,4,3,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,7,6,3,2,8,1,5]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,4,6,7,3,2,8,5]=>[1,4,6,7,2,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,4,7,3,1,8,2,6]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,4,5,3,2,8,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,7,5,1,4,2,8,6]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,7,4,2,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[8,5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,6,3,8,7,1,5,2]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,6,5,8,7,4,1,2]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,1,5,8,6,7,4,2]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,1,6,7,3,5,2]=>[1,6,7,2,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,6,4,1,8,7,5,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[8,2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,7,6,8,1,4,3,5]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,6,4,8,2,5]=>[1,6,2,5,3,7,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,7,3,5,6,8,2,4]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,6,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,8,5,7,2,4,1]=>[1,2,4,3,6,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,3,5,7,6,8,1,4]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,7,6,8,3,1,5]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,6,8,7,3,5,1]=>[1,2,6,8,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[3,7,2,6,4,8,1,5]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,7,3,2,1,5,8,6]=>[1,5,8,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,7,8,6,2,1,5,4]=>[1,5,2,3,7,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,7,4,8,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,8,2,1,7,5,3]=>[1,7,2,3,4,6,8,5]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,1,7,8,5,6,4,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,7,2,5,8,6,4,3]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,7,4,8,2,6,5,3]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,7,8,1,6,5,2,4]=>[1,6,2,4,3,7,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,7,8,6,1,3,5,4]=>[1,3,5,2,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,6,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[6,8,1,4,5,7,3,2]=>[1,4,5,7,2,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,1,4,5,3,8,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[5,6,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[5,4,3,6,1,2,8,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,3,1,4,5,2,8,7]=>[1,4,5,2,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,8,7,4,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[8,1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,1,8,7,5,3,4,6]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,1,6,8,5,7,3,4]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,1,8,3,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,8,4,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,5,8,4,6,7,3]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,4,8,3,6,7,5]=>[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,1,8,2,5,6,7,4]=>[1,8,2,5,6,7,3,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,8,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,8,2,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,8,1,3,5,6,7,4]=>[1,3,5,6,7,2,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,8,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,1,8,3,4,6,7,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,1,7,8,5,4,3,6]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,7,8,4,5,3,1,6]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,3,8,4,2,7,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,8,3,6,2,1,7,5]=>[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,1,3,2,6,8,7,5]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,8,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,3,8,6,2,7,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,8,4,7,6,2,1]=>[1,2,3,5,8,4,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[5,8,2,4,7,6,1,3]=>[1,3,2,4,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,1,6,4,5,8,2,3]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,1,7,6,5,8,3,4]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,8,4,1,5,6,7,3]=>[1,5,6,7,2,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,8,1,5,6,7,2]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,4,1,8,5,6,7,3]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[8,4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,5,2,4,8,6,1,3]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[8,3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,4,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,5,3,7,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,7,2,4,5,8,3,1]=>[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[5,1,7,4,8,6,3,2]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,5,7,4,8,6,3,1]=>[1,2,5,7,3,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,8,7,4,5,2,1,6]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,5,4,8,6,2,1]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,7,1,4,8,6,2,3]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,3,8,1,2,7,5]=>[1,2,7,3,8,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[3,2,5,1,6,8,4,7]=>[1,6,8,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,6,2,5,4,8,1,7]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,5,8,2,4,7,6,1]=>[1,2,4,7,3,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[4,2,5,8,3,7,6,1]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,4,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,5,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,6,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,6,4,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,4,3,8,2,7,6,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,4,3,1,7,2,8,5]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,4,7,5,8,3,2,6]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,2,5,8,4,1,3,6]=>[1,3,6,2,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,8,5,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,5,8,7,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,5,4,8,7,3,6,2]=>[1,5,2,3,6,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,3,8,1,7,5,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,3,7,6,5,2,1]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,3,8,7,6,4,2,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,5,8,6,3,7,4,2]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,6,1,8,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,2,8,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,6,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,3,1,6,8,4,2,5]=>[1,6,8,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,7,6,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,7,1,6,3,2,8,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,7,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,2,8,7,4,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,2,6,3,8,7,4,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,2,7,6,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,7,2,6,3,1,8,5]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,8,6,2,4,7,5,1]=>[1,2,4,7,3,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,3,6,2,4,1,8,5]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,6,7,2,1,4,8,5]=>[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,8,2,5,7,1,6,4]=>[1,6,2,5,7,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,3,6,2,1,5,4]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,7,8,2,1,6,5,3]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,8,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,8,7,2,6,1,3,4]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[5,1,6,8,2,7,4,3]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,8,2,7,6,4,3,1]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,8,7,5,4,3,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,1,7,2,8,5,4,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,1,8,2,6,4,3]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,7,1,8,6,2,5,3]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[7,8,3,1,6,5,2,4]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,4,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,7,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,8,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,6,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,8,5,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,1,6,8,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,7,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[1,7,6,8,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,8,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[7,4,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[7,5,1,2,8,3,4,6]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[4,6,2,1,3,8,5,7]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,2,6,1,4,8,5,7]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,6,8,7,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,1,8,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,3,5,6,1,2,8,7]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[6,5,2,7,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,1,5,4,3,8,7]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[5,3,1,4,6,2,8,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,1,4,6,5,2,8,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,7,4,6,2,8,3,1]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[8,1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,4,7,8,5,2,1,6]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,8,5,7,3,4,6]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,4,8,6,5,7,1,2]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[7,5,4,8,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,4,6,8,2,7,3]=>[1,4,6,8,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,5,4,6,7,1,8,3]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,4,6,3,7,5,8,1]=>[1,2,4,6,3,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,1,6,3,8,5,7,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,4,2,8,6,5,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[7,4,1,3,5,8,6,2]=>[1,3,5,8,2,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,5,8,4,1,7,3,2]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,4,3,8,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,7,4,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,3,8,1,6,7,5,4]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,7,2,6,8,5,1]=>[1,2,6,8,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,7,2,3,8,5,6,1]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[3,8,2,1,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,8,5,4,3,1,6]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,8,6,7,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,3,8,7,4,2,6,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,8,7,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,3,5,8,2,4,1,6]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,1,3,2,6,7,8,5]=>[1,3,2,6,7,8,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,6,1,8,7,2,4]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,8,6,5,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[8,1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[2,1,7,5,3,6,8,4]=>[1,7,2,3,6,8,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,7,3,5,2,1,8,4]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,1,4,2,5,6,8,3]=>[1,4,2,5,6,8,3,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[2,7,4,1,6,5,8,3]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[2,4,1,5,8,7,6,3]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,1,2,5,8,6,7,3]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,4,2,1,5,8,7,3]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,5,3,2,6,8,1,4]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,5,3,6,8,7,4]=>[1,5,2,3,6,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,3,5,4,6,1,8,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,3,4,1,5,7,8,2]=>[1,5,7,8,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,4,5,6,8,7,2]=>[1,4,5,6,8,2,3,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,5,2,1,4,3,8,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,5,2,7,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,7,5,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[3,1,6,5,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,3,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,6,2,4,1,5,8,7]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[2,6,1,3,5,4,8,7]=>[1,3,5,2,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[6,7,2,3,4,8,5,1]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,5,7,3,8,6,4,1]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,6,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,6,3,7,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,1,6,7,4,8,5,3]=>[1,6,7,2,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,8,3,7,4,2,6,1]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,7,4,1,2,6,5]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,8,7,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,1,2,7,6,3,5]=>[1,2,7,3,5,4,8,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,8,4,2,5,7,1,6]=>[1,6,2,5,7,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,8,3,5,2,7,4,1]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,1,5,3,8,7,6,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,5,3,2,8,7,1,4]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,5,2,4,8,1,6,3]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,4,2,8,5,7,6,1]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[2,4,1,8,7,6,5,3]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,3,1,8,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,4,8,6,5,7,2]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,1,6,5,4,8,2,3]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,7,1,6,8,2,4,3]=>[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,2,1,8,7,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,6,2,5,8,3,7,1]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,1,2,3,6,8,7,5]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[2,4,3,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,5,2,8,3,4,6,1]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[5,6,2,8,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,6,8,7,1,5,4,2]=>[1,5,2,3,6,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,1,8,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,7,8,4,5,3,6,1]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,7,3,8,1,4,6,2]=>[1,4,6,2,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,5,8,4,6,3,7]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,3,8,4,1,2,7]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,5,8,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[2,4,8,3,5,6,1,7]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[3,4,8,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,3,8,2,5,1,7,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,3,8,4,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,4,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[2,1,4,8,3,5,7,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[6,8,2,4,3,5,1,7]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,8,2,3,5,1,6,7]=>[1,6,7,2,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,8,2,1,4,6,5,7]=>[1,4,6,2,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,7,6,1,4,2,8]=>[1,4,2,8,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,5,7,2,4,1,6,8]=>[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,5,8,2,4,1,6,3]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,5,3,4,1,6,7]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,8,7,6,1,4,5,3]=>[1,4,5,2,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,8,5,3,6,1,7,4]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,8,5,3,4,6,7,1]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,5,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,2,8,3,1,4,7]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,8,2,4,6,3,1]=>[1,2,4,6,3,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,5,6,2,1,8,7,4]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,5,7,6,1,4,8,2]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,5,7,2,4,6,8,1]=>[1,2,4,6,8,3,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,5,2,7,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,1,6,7,4,3,8,2]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,2,6,4,8,7,3]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,1,6,8,7,3,4,2]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,8,3,7,4,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,1,2,8,4,5,7,3]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[5,6,8,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,8,2,4,3,1,7]=>[1,7,2,4,3,5,8,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,1,6,7,4,3,2,8]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,6,8,7,3,2,4]=>[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,1,6,8,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,7,8,6,3,4,2,1]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[3,1,4,8,6,2,7,5]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,1,4,8,6,5,2,7]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[7,1,6,5,8,3,2,4]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,1,6,7,8,3,2,5]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,5,6,2,4,8,1,7]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,6,5,2,8,1,7,4]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,1,2,5,8,4,7,3]=>[1,2,5,8,3,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[7,1,6,5,8,3,4,2]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,2,6,3,8,4,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,5,2,7,3,8,6,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,6,7,8,3,5,2]=>[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[4,1,2,6,8,5,7,3]=>[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,1,2,5,6,8,7,3]=>[1,2,5,6,8,3,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,8,4,2,1,5,3,6]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,8,1,5,7,3,6]=>[1,5,7,2,4,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,3,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,2,1,5,3,4,6]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,5,6,4,1,3]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,1,7,5,4,3,8]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,3,8,2,6,4,7,5]=>[1,3,8,2,6,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[5,3,7,1,6,4,8,2]=>[1,6,2,3,7,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[6,1,2,5,8,7,4,3]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,3,1,8,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,4,2,1,5,3,8,7]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,3,7,5,8,1,2]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,7,6,4,2,8,5]=>[1,3,7,2,8,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,7,2,8,6,4,1,5]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,8,1,7,6,4,5,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,5,7,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,7,5,8,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,5,6,8,2,4,7,3]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,6,8,5,3,1,4,7]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,6,1,4,7,3,5,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,2,8,1,4,7,3,6]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,6,7,5,2,1,3,8]=>[1,3,8,2,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,5,8,3,2,7,4]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,5,7,1,2,8,3]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[4,7,5,6,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,1,4,2,3,8,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,1,3,4,5,8,7,2]=>[1,3,4,5,8,2,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,1,4,2,7,6,8,3]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,6,2,4,7,8,3,5]=>[1,6,2,4,7,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,7,2,4,1,6,3,8]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,1,4,2,8,5,3,7]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,7,2,6,5,3,8]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,7,4,5,6,8,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,7,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,7,5,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,8,6,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[4,8,1,2,5,3,7,6]=>[1,2,5,3,7,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,8,6,5,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,8,5,6,1,4,7,2]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,7,8,2,1,6,4]=>[1,6,2,3,7,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,8,7,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,8,7,5,2,4,3]=>[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,6,7,8,5,1,4,2]=>[1,4,2,3,6,7,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,7,6,8,5,2,1,4]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,8,6,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[4,7,8,6,3,5,1,2]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,7,6,5,3,4,8]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,1,6,4,5,3,7]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,7,5,1,4,3,6]=>[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,8,6,7,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[6,3,1,2,7,4,8,5]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,4,2,5,1,3,8,6]=>[1,3,8,2,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[7,5,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[8,5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,3,6,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,3,6,7,1,2,8,4]=>[1,2,8,3,6,7,4,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,3,7,4,1,2,8,5]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,7,1,5,2,3,8,6]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,7,4,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,4,7,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[7,4,8,5,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,8,6,2,4,7,1,5]=>[1,5,2,4,7,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,8,4,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,8,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,8,5,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[4,8,6,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,7,6,4,8,1,3,5]=>[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,6,5,8,1,3,4,7]=>[1,3,4,7,2,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[3,6,5,8,1,2,4,7]=>[1,2,4,7,3,6,5,8]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[5,4,6,7,2,8,1,3]=>[1,3,2,8,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,3,7,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[3,5,7,1,4,8,2,6]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,3,7,2,4,8,1,6]=>[1,6,2,4,8,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,4,7,3,8,1,2,6]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,4,1,7,8,2,3,6]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,5,3,7,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,3,7,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,7,1,5,8,6,2,3]=>[1,5,8,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,5,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,4,1,8,6,2,3,5]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,7,8,2,5,1,3]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,3,7,8,5,1,2,4]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,6,8,2,7,1,4,5]=>[1,4,5,2,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,4,8,7,1,3,5,6]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[4,3,8,7,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[5,3,8,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[8,3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[5,4,8,7,1,2,3,6]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,5,8,7,1,2,4,6]=>[1,2,4,6,3,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,5,8,7,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[4,6,8,2,7,1,3,5]=>[1,3,5,2,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,8,4,7,5,1,2,3]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,8,7,1,6,2,3,4]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,7,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,8,7,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,5,3,8,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,8,7,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,7,8,5,3,6,4]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,7,8,4,1,6,5,3]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,5,1,4,8,6,3,2]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,3,8,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[2,4,5,6,7,8,9,1,3]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,7,8,9,10,1]=>[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]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[2,3,4,5,6,7,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,3,4,5,6,7,8,10,1,9]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[2,3,4,5,6,1,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[2,3,4,5,1,8,9,6,7]=>[1,8,9,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,1,5,6,7,8,9,3,4]=>[1,5,6,7,8,9,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]],.]
[2,4,5,6,7,8,9,10,1,3]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,6,4,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,3,2,5,1,8,4,7]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,2,6,3,4,5,8,1]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,2,7,4,5,8,1]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,2,5,7,3,6,8,1]=>[1,2,5,7,3,6,8,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,7,6,2,4,5,8,1]=>[1,2,4,5,8,3,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,5,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,3,1,2,8,4,6]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,8,6,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,8,3,5,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,5,2,3,6,1,4]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,8,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,1,5,7,2,3,6]=>[1,5,7,2,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,7,5,8,2,3,6]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,7,3,8,2,4,5,6]=>[1,7,2,4,5,6,3,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,5,7,1,8,3,6]=>[1,8,2,5,7,3,6,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,3,1,5,8,2,4,6]=>[1,5,8,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,2,1,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,1,3,6,8,2,7]=>[1,3,6,8,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,6,3,8,7,1,2]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,3,2,8,7,1,4,6]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,1,8,7,2,4,6]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[8,5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,6,8,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,7,8,2,4,6,1,5]=>[1,5,2,4,6,3,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,5,8,7,1,3,6]=>[1,3,6,2,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,6,2,8,7,1,4,5]=>[1,4,5,2,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,7,8,1,6,2,4,5]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,2,8,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,7,8,3,6,2,4,5]=>[1,7,8,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,1,5,8,7,2,3,6]=>[1,5,8,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,8,3,7,5,1,2,4]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,8,3,6,2,4,1]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,4,8,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,4,8,3,2,5,6,1]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[6,4,3,8,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,4,3,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,4,1,3,2,6,8,5]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,4,8,3,2,6,1,5]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,4,8,3,2,5,1,6]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,4,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,3,8,7,2,1,4]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,1,4,8,6,2,3]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,4,3,1,2,8,5,7]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,3,8,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,5,3,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,1,3,8,2,4,6]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,7,8,2,4,1]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,4,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,4,8,3,2,1,5,6]=>[1,5,6,2,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,5,8,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,3,7,1,2,8,4]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,5,3,7,8,2,1,4]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,4,3,2,7,8,1,6]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,2,1,3,4,8,7]=>[1,3,4,8,2,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[5,8,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,3,7,8,2,1,4,6]=>[1,4,6,2,3,7,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,6,1,2,5,8,3,4]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,1,7,8,4,3,5,6]=>[1,7,8,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,1,2,5,4,6,3]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,6,8,3,1,4,7,5]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,8,7,4,2,1,6,3]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,1,6,8,3,4,2]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,4,7,1,8,2,6,5]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,8,2,4,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,8,2,5,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,8,2,6,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,8,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[1,7,2,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,4,2,8,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[1,8,2,6,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[1,8,2,5,3,6,4,7]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
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[1,8,2,4,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
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[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,8,2,4,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,8,2,5,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,8,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
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[1,2,3,8,4,7,5,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,4,2,8,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
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[1,6,2,8,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,2,8,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,6,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,6,3,8,5,1,2,7]=>[1,2,7,3,8,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[5,6,8,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,8,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
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[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
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[5,7,8,4,1,2,6,3]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
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[6,7,8,1,3,4,5,2]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,7,8,2,1,4,6,3]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,8,1,5,6,3]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,2,7,8,1,5,6,4]=>[1,5,6,2,7,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,8,3,2,1,7,4]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,8,3,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,8,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,5,4,8,1,7,6]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,5,3,2,8,1,6,7]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,7,3,8,1,2,6,5]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,7,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[5,7,8,3,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,7,8,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,7,8,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,8,3,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,7,8,1,5,4,6]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,8,2,1,4,3,6]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,2,5,3,4]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,7,8,1,2,5,4,3]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,7,8,1,2,4,5,3]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,7,8,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,2,7,8,1,4,6,5]=>[1,4,6,2,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,2,8,5,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,3,7,5,2,6,4,8]=>[1,3,7,2,6,4,8,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,3,7,5,4,2,6,8]=>[1,3,7,2,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[7,2,8,5,4,1,6,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,5,4,3,1,7,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,4,5,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,6,5,7,3,1,4]=>[1,4,2,8,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[2,8,4,5,3,7,1,6]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,6,3,7,5,2,4,8]=>[1,6,2,4,8,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,2,8,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,4,8,2,5,6,3,1]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[7,4,8,5,2,1,3,6]=>[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,4,8,5,1,3,7,2]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,3,7,5,1,2,8,6]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,3,7,1,5,6,8,2]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,6,1,7,5,2,8,4]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,6,5,7,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,5,2,7,4,1,8,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,3,1,8,6,4,7,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,6,1,8,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,3,5,8,2,7,4,1]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,5,8,4,2,3,7,1]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,2,5,8,3,7,1,4]=>[1,4,2,5,8,3,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[1,6,5,7,3,4,2,8]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,5,2,7,4,6,3,8]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,1,3,8,4,6,2,5]=>[1,3,8,2,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[2,3,4,8,6,1,7,5]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,8,6,5,1,7]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,3,5,8,6,1,4]=>[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,5,4,6,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,4,7,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[5,3,6,4,1,8,7,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[6,3,5,1,8,2,7,4]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,6,1,5,8,4,7,3]=>[1,5,8,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,7,6,5,8,3,4,1]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,7,1,6,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,2,4,1,7,8,5,6]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,1,4,2,7,8,6,5]=>[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,4,7,2,8,6,3]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,4,7,8,2,5,1]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,3,4,5,7,1,8,2]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[2,5,4,6,1,7,8,3]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,3,4,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,4,3,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,6,3,2,5,4,1,8]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,8,3,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,2,1,5,6,3,4,8]=>[1,5,6,2,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,2,1,6,5,4,3,8]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,6,1,5,4,2,8]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,4,6,5,1,3,2,8]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,8,5,4,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,8,6,4,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[6,5,7,4,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,4,7,5,1,3,8,2]=>[1,3,8,2,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[6,3,7,1,5,4,8,2]=>[1,5,2,3,7,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,1,7,5,4,8,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,4,8,5,1,3,7,6]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,5,8,4,3,1,7,6]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,6,8,4,3,7,1,5]=>[1,5,2,6,8,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,7,8,4,3,6,5,1]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,8,7,4,3,6,5,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[2,6,8,5,7,3,1,4]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,5,8,6,7,1,3,4]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[2,4,8,6,1,7,3,5]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,1,7,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,7,1,6,8,4,2]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[4,6,7,5,8,3,1,2]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,7,5,6,8,2,3,1]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[4,6,5,7,8,2,1,3]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[5,4,6,7,1,8,2,3]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,3,6,1,7,8,2,4]=>[1,7,8,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,1,5,7,3,8,4]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,5,7,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,5,4,7,2,1,8,3]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,6,4,7,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,8,4,6,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[1,8,3,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,3,2,6,8,4,1]=>[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,6,3,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,1,4,3,7,8,5]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,2,1,4,3,8,7,6]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[5,3,4,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,6,3,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,6,4,8,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,5,4,8,2,1,7,6]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,5,1,8,2,7,6]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[4,2,1,5,8,3,7,6]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,2,1,6,8,7,3,5]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,3,6,1,8,7,2,5]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,5,6,8,7,1,2,4]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[3,6,5,8,7,2,1,4]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,7,5,8,6,2,4,1]=>[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,6,7,8,5,4,1,2]=>[1,2,3,6,7,8,4,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,7,8,6,1,4,2]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,7,8,1,6,5,2]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,5,8,7,6,1,4,3]=>[1,4,2,5,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,6,8,7,5,4,1,3]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,4,6,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,3,1,7,5,6,2]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,2,1,7,5,8,3]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,5,2,1,6,8,4,3]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,6,8,4,1,7,5,2]=>[1,7,2,3,6,8,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,4,6,5,7,1,8,2]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,8,4,1,7,5,3,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,4,2,6,7,5,3]=>[1,8,2,6,7,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,8,4,1,6,7,5,3]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,7,5,1,6,8,4,3]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
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[4,7,1,6,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,8,2,6,5,7,1,3]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
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[8,4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,3,1,2,7,6,8,4]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,3,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,1,2,7,6,8,4]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,1,5,8,2,3,4]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,6,1,5,8,3,2,4]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,6,7,1,5,8,2,4]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[7,1,6,5,8,2,4,3]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,5,1,6,8,4,2,3]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,3,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,7,6,2,5,8,3,4]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,6,2,1,5,8,3,4]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,2,5,1,7,4,8,3]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,1,6,4,8,2,5,3]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,1,5,2,7,4,8,3]=>[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,6,2,5,8,3,1,4]=>[1,4,2,5,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,1,3,7,6,8,4]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,5,2,6,8,4,1,3]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[8,4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,1,4,2,7,5,8,3]=>[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,8,2,5,7,1,4]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,2,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,4,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,5,1,3,7,6,8,4]=>[1,3,7,2,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,8,3,5,7,6,1,4]=>[1,4,2,8,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[8,3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,1,2,4,7,6,8,5]=>[1,2,4,7,3,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,7,8,3,4,5,6,1]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,6,3,8,4,5,7,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,3,1,4,2,6,8,5]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,4,1,5,6,8,2,3]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,7,8,5,6,1,2,3]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[3,7,8,5,6,2,1,4]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,7,8,2,4,5,1,6]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,6,2,8,4,5,1,7]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,2,4,8,6,1,7]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,6,5,8,7,1,2,3]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[6,4,5,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,2,4,1,3,7,5,8]=>[1,3,7,2,4,5,8,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,2,5,1,7,3,4,8]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,2,1,8,3,4,7]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,7,8,2,3,1,5,6]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,7,8,3,2,1,6,5]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,5,3,7,1,6,8]=>[1,6,8,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,4,5,2,7,8,1,6]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,2,5,6,8,1,7]=>[1,7,2,5,6,8,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,8,7,1,5,3,2,4]=>[1,5,2,4,3,6,8,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[6,8,7,3,5,1,2,4]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,8,1,3,6,5,2,4]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,3,6,5,2,1,4]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,8,6,1,5,3]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,7,3,4,8,6,5,2]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,2,3,6,5,1,4]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,8,2,7,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,8,7,2,5,3,1,4]=>[1,4,2,5,3,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,2,4,8,7,1,5,3]=>[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,6,8,3,7,4,5,2]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,8,3,4,7,5,2]=>[1,6,8,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,2,4,8,1,7,5,3]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,8,7,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,7,5,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,8,7,3,5,4,6,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[8,7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,6,8,4,3,7,5,2]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,7,3,2,5,1,4]=>[1,4,2,5,3,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,8,4,7,1,2,6,3]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,5,7,1,2,6,3]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,8,5,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,8,1,3,7,2,5,4]=>[1,3,7,2,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,6,4,8,3,7,5,2]=>[1,6,2,3,7,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,8,5,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,8,7,6,4,3,5]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[8,7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[2,1,8,5,4,7,3,6]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[8,3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,8,7,6,3,5,4]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,3,5,1,8,4,6,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,2,1,8,7,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,5,2,7,4,3,8]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,4,2,7,5,3,8]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,3,2,7,6,4,8]=>[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,1,8,7,6,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,3,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,5,7,1,6,8,2,3]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,1,2,8,4,3,7]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,4,1,2,8,5,3,7]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,3,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,1,2,5,8,3,4,7]=>[1,2,5,8,3,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[7,1,3,4,8,2,5,6]=>[1,3,4,8,2,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[7,1,5,6,8,2,3,4]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,6,1,5,7,8,3,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,1,6,8,5,2,3]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,2,1,6,8,7,4]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[1,6,2,5,7,3,4,8]=>[1,6,2,5,7,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,2,1,5,8,7,3,4]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,3,1,5,8,6,2,4]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,2,5,1,8,4,7,3]=>[1,8,2,5,3,4,7,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[6,2,1,4,8,7,3,5]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,6,2,4,7,3,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,2,1,3,8,7,4,6]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[7,4,1,3,8,5,2,6]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[7,5,1,3,8,4,2,6]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,2,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,1,2,4,8,3,5,7]=>[1,2,4,8,3,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,3,5,2,4,1,8,6]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,3,5,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,2,4,1,6,3,8,7]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,2,8,5,7,3,4,1]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,1,8,4,7,3,6,2]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[3,1,8,5,7,4,6,2]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,1,8,5,7,4,6,3]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[4,1,7,3,6,2,8,5]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,1,7,3,6,2,8,4]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,2,7,3,5,1,8,4]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[8,4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,3,6,2,5,1,8,4]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,2,5,1,7,3,8,4]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,4,6,2,3,1,8,5]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[6,2,3,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,3,1,7,4,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,3,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,2,4,1,8,6,7,3]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,6,3,8,5,7,4]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,2,7,3,8,4,5,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,8,4,6,2,7,3]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,1,7,4,8,5,6,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,7,4,8,5,6,2]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,8,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,3,6,2,8,4,5,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,8,4,7,2,5,6]=>[1,3,8,2,5,6,4,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[3,6,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,4,8,2,5,7,3,6]=>[1,4,8,2,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,3,5,6,4,1,2]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,1,4,2,3,6,5]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,8,5,1,4,2,6,3]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,8,4,5,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,8,4,3,2,7,6]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,6,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,4,6,8,3,7,5,2]=>[1,4,6,8,2,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,8,5,3,1,6,7]=>[1,6,7,2,4,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,5,8,1,4,7,6,3]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,8,4,7,6,1,2]=>[1,2,3,5,8,4,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,6,2,1,4,7,8,3]=>[1,4,7,8,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,2,5,3,1,8,7]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,7,5,1,3,6,8,2]=>[1,3,6,8,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[5,7,3,6,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,1,7,5,2,4,8,3]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,3,1,2,4,5,8,7]=>[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,4,7,2,5,3,8,6]=>[1,4,7,2,5,3,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,6,1,8,4,2,5,7]=>[1,8,2,5,7,3,6,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,6,5,7,8,2,1,4]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,2,7,6,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,5,7,6,8,1,3,4]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,7,5,6,8,4,1,3]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,6,8,4,5,3,7]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,7,1,8,5,3,4,6]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,8,5,4,6,7,2]=>[1,8,2,3,4,6,7,5]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[3,2,8,4,5,6,1,7]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,2,8,6,1,7,5]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,7,1,5,2,6,8]=>[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,7,8,1,2,6,5]=>[1,2,6,3,7,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,1,8,3,6,2,5,7]=>[1,8,2,5,7,3,6,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[5,7,8,6,3,2,1,4]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,7,8,6,1,3,4,2]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[7,6,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[1,6,4,3,8,2,5,7]=>[1,6,2,5,7,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,6,5,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,4,5,1,7,8,6,3]=>[1,7,8,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,6,3,4,5,8,1,7]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,6,4,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,3,6,4,8,5,1,2]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[7,2,1,4,8,3,5,6]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,1,6,5,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,6,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,6,7,4,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,7,6,4,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,7,1,5,2,8,3,4]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,5,2,4,8,3,6]=>[1,7,2,4,8,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,1,5,2,8,3,4,7]=>[1,5,2,8,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,7,5,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,6,5,4,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,1,5,3,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,6,1,5,3,2,8,4]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,5,6,4,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,7,5,4,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,2,4,3,1,6,8]=>[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,4,6,1,2,5,3,8]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[7,1,4,2,5,3,6,8]=>[1,4,2,5,3,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,8,1,4,2,5,7,3]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,6,4,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,6,3,7,5,4,2,8]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,1,3,7,5,4,2]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,1,3,5,6,4,2,8]=>[1,3,5,6,2,8,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[7,3,1,6,4,5,2,8]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,2,6,5,1,3,8]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,2,4,1,5,3,6,8]=>[1,5,2,4,3,6,8,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[7,2,3,5,4,1,6,8]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,8,1,2,3,4,7,5]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,2,3,7,6,4,1]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,2,8,1,3,7,4,5]=>[1,3,7,2,8,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,8,2,3,5,4,7,1]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[6,8,2,4,1,5,7,3]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,8,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,6,3,5,7,1,4,8]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,5,1,7,8,3,6,4]=>[1,7,8,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,4,7,8,5,6,3]=>[1,4,7,8,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,5,3,7,6,1,8,4]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[3,5,7,4,1,6,2,8]=>[1,6,2,8,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,3,4,1,8,6,7,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,8,6,5,3,7,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,2,8,5,7,6,3,1]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,4,2,7,5,8,6,3]=>[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,8,6,7,5,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[5,8,4,7,6,2,1,3]=>[1,3,2,4,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[5,8,7,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,4,8,3,1,7,2,5]=>[1,7,2,5,3,4,8,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,8,3,7,1,6,4,2]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,3,8,6,7,2,4]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,5,7,6,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,7,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,8,1,2,7,3,5]=>[1,2,7,3,5,4,8,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,8,5,2,4,3,7,1]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,8,5,3,1,2,7,4]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,1,2,7,6,3,8]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,1,2,6,8,7,3]=>[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,5,6,1,8,4,7,2]=>[1,8,2,3,5,6,4,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,5,7,1,2,8,6,4]=>[1,2,8,3,5,7,4,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[4,6,3,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[4,5,3,1,7,6,2,8]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,5,7,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,1,4,7,5,6,2,8]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,6,5,8,7,1,2]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[3,5,6,2,8,4,7,1]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[4,2,5,6,1,8,7,3]=>[1,8,2,5,6,3,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,5,3,1,6,8,7,2]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,7,5,8,6,4,3]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,7,5,3,8,6,4]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,1,7,5,2,3,8]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,3,7,5,2,4,8]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,1,2,6,8,5,4,7]=>[1,2,6,8,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,7,1,2,5,4,8,6]=>[1,2,5,3,7,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,4,1,7,8,6,5,3]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,4,7,5,1,8,6,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,7,4,1,5,8,6,3]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,3,7,1,5,8,6,4]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,2,8,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[2,1,6,8,3,4,7,5]=>[1,6,8,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,6,4,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,4,8,5,1,7,2]=>[1,7,2,3,6,4,8,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,6,3,7,5,8,1,4]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,3,6,8,1,5]=>[1,5,2,3,6,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,2,7,3,6,8,1,4]=>[1,4,2,7,3,6,8,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,7,3,4,6,1,8,2]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[8,2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[2,4,8,1,7,3,5,6]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,8,3,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,8,3,1,7,5,2]=>[1,7,2,3,4,6,8,5]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,7,4,1,6,2,3,8]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,5,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,3,7,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,2,7,8,5,1,4]=>[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,7,2,5,8,1,6,3]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,5,6,8,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,4,5,6,8,1,7,3]=>[1,7,2,4,5,6,8,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,6,2,3,7,8,1,4]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,7,3,4,1,2,6]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,8,7,3,4,1,2,5]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,8,4,7,2,5,3,1]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,4,8,7,2,6,3,1]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,8,3,7,5,1,2,6]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[3,8,4,7,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,5,8,7,6,1,2,4]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,5,8,7,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,8,7,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,5,8,1,7,6,4,3]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,5,8,7,1,6,3,4]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,8,4,7,2,5,3,6]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,4,8,7,2,6,3,5]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,5,8,7,2,6,3,4]=>[1,5,8,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,8,3,2,7,5,4,6]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,8,2,7,6,4,1]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,3,2,7,5,4,1]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,3,1,7,5,4,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,2,1,7,5,4,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[8,5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[5,8,7,1,2,4,3,6]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[6,8,1,2,7,5,4,3]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,8,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[4,8,1,7,2,5,3,6]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,1,2,7,5,4,6]=>[1,2,7,3,8,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,1,4,8,7,6,5,2]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[2,8,1,3,7,5,4,6]=>[1,3,7,2,8,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[8,2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,8,3,7,6,4,5]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,4,3,6,8,2,5,7]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,6,2,5,8,4,7]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,4,5,2,8,3,7,6]=>[1,4,5,2,8,3,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,1,6,5,8,2,4,7]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,2,6,5,4,8,3,7]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,4,7,5,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,4,5,2,8,7,3,6]=>[1,4,5,2,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,4,2,8,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,2,8,6,5,3,7,4]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,5,2,8,6,3,7,4]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,7,6,5,3,8,4]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,6,5,3,8,7,4]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,5,2,7,6,3,8,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,7,4,2,8,3,6]=>[1,5,7,2,8,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,2,8,6,3,7,5]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,1,8,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,8,7,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,7,4,2,8,3,6,5]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,6,4,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,2,8,5,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,2,6,3,8,7,5,4]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,2,7,6,3,8,5,4]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,7,2,8,5,3,6,4]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,2,8,7,5,3,6,4]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,2,8,6,3,7,5,4]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,2,7,3,8,6,5,4]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,7,3,6,5,8,2]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,1,8,7,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,8,6,2,4,1,3]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[5,7,1,6,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,4,1,5,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,1,4,5,3,8,7,2]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,1,4,5,3,7,8,2]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,1,7,8,6,2,4,3]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,1,4,8,3,5,7,2]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,1,4,5,3,8,6,2]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,3,5,7,2,1,4,8]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,4,8,6,3,1,7,2]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,1,6,2,4,3,7]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,5,8,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,8,5,1,4,7,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,3,5,8,2,1,6,4]=>[1,6,2,3,5,8,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[7,3,5,6,2,1,4,8]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[2,7,6,5,1,3,4,8]=>[1,3,4,8,2,7,5,6]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]
[2,7,6,8,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,7,6,5,8,3,1,4]=>[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,6,1,3,8,5,7,4]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[2,7,1,3,6,5,8,4]=>[1,3,6,2,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,7,6,1,4,3,5,8]=>[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[8,4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,8,6,1,4,3,5,7]=>[1,4,2,8,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[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]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,7,8,10,9]=>[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]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,5,6,7,8,9,11,10]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]],.]
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,9,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[7,1,2,3,4,5,6,9,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[2,1,9,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[2,8,1,3,4,5,6,7,9]=>[1,3,4,5,6,7,9,2,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]],.]
[2,10,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,6,5,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,6,5,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,5,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,8,5,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,6,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,8,2,6,5,1,7,3]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,8,6,5,1,7,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,7,6,4,5,8]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,3,7,6,2,5,8]=>[1,3,7,2,5,8,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,1,7,3,6,2,4,8]=>[1,7,2,4,8,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,1,7,5,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,1,6,5,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,7,6,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,1,8,2,6,4,3,5]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[5,1,8,3,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[3,2,1,8,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[3,2,8,7,1,6,5,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,2,7,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,7,2,1,6,4,3]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,7,1,3,5,4,2]=>[1,3,5,2,4,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[7,8,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,8,7,2,6,5,3,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,8,2,5,6,3,4]=>[1,7,8,2,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,6,8,1,4,3,5,2]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,5,8,3,2,1,7,4]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,8,3,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,4,8,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,4,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,3,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,4,2,3,6,7,8]=>[1,5,2,3,6,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,1,4,2,6,3,8]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,5,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,6,1,3,4,2,7,8]=>[1,3,4,2,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[4,6,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,6,1,5,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,7,1,4,6,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,1,3,6,5,8]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,7,1,3,2,6,4,8]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,7,1,2,4,5,3,8]=>[1,2,4,5,3,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[7,6,1,2,5,4,3,8]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,1,2,3,5,6,4]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,8,1,2,4,3,7,5]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[5,8,1,3,2,4,7,6]=>[1,3,2,4,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[4,8,2,1,3,5,7,6]=>[1,3,5,7,2,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,1,3,2,5,6,7,8]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,1,2,4,3,6,7,8]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,1,2,3,5,4,7,8]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[7,1,2,3,4,6,5,8]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,7,6,8,1,2,3]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,3,7,8,6,1,2,4]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,8,4,5,7,1,2,6]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,4,8,6,7,1,2,5]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,6,1,7,8,4,2]=>[1,7,8,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,5,6,1,8,7,4,3]=>[1,8,2,5,6,3,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,5,6,8,1,7,3,4]=>[1,7,2,5,6,8,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,5,6,8,2,3,7,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,5,6,2,8,4,7,3]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,5,6,3,4,7,8,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,2,6,8,5,7,3]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,8,3,1,5,7,4,6]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,1,6,8,7,5,3]=>[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,4,1,6,7,8,5,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,7,8,1,6,3,4]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,7,2,6,4,8,1]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,7,3,1,5,8,4,2]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,1,2,8,4,5,3]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,7,1,3,4,8,5,2]=>[1,3,4,8,2,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[5,1,7,3,4,8,6,2]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,1,7,8,2,3,6,4]=>[1,7,8,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,1,8,7,2,3,6,5]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[3,8,1,2,7,4,5,6]=>[1,2,7,3,8,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,3,7,5,8,6,2]=>[1,3,7,2,4,5,8,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,1,4,5,7,8,6,2]=>[1,4,5,7,8,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[1,2,8,3,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[4,2,1,6,5,8,7,3]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,6,1,4,8,7,3]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,7,4,8,1,6,3]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,7,4,8,6,1,3]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,2,3,8,6,1,4]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[5,7,2,3,8,1,6,4]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,3,2,8,6,1,4]=>[1,4,2,8,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[5,1,7,4,8,2,6,3]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,5,7,4,8,3,6,2]=>[1,5,7,2,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,7,4,8,6,3,2]=>[1,5,7,2,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,7,4,8,6,2,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,1,3,8,6,2,4]=>[1,3,8,2,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,7,3,8,5,2,1,4]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,1,8,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,6,7,8,4,3,5,2]=>[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,1,7,8,4,2,5,3]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,2,7,8,4,1,5,3]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,7,8,1,4,5,3]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,2,7,1,8,4,6,3]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
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[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
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[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
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[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[6,7,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
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[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
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[3,6,4,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
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[6,5,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,1,4,8,3,2,6]=>[1,4,8,2,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,8,3,5,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,1,4,6,7,2,3]=>[1,4,6,7,2,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,5,8,4,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,3,7,4,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[8,7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,8,6,7,1,4,5,2]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,8,7,4,1,2,6]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,8,7,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,6,1,8,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,4,2,7,3,6,8,1]=>[1,2,7,3,6,8,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,5,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,4,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,2,7,4,3,5,8,1]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,7,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,7,6,4,5,2,8,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[2,7,6,5,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,4,3,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,4,1,8,3,2,6]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,4,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,6,5,3,4,8,2,7]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,6,3,1,8,2,7]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[6,5,8,4,2,7,3,1]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,8,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,6,2,5,7,4,1]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,8,5,3,2,6,4,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,8,3,1,7,2,5,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,8,6,3,7,5,2,4]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,8,1,6,3,2,5,4]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,8,6,1,7,4,5,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,1,3,7,2,6,5]=>[1,3,7,2,6,4,8,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,2,8,5,7,3,6,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,1,7,6,8,3,2,4]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,7,3,1,8,4,2,5]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,7,3,8,4,5,2,6]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[7,2,6,1,8,4,3,5]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[8,3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,3,1,5,8,4,2,6]=>[1,5,8,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,1,5,8,3,6,7]=>[1,5,8,2,3,6,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[5,4,3,1,6,8,2,7]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,7,5,6,8,3,2,1]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,5,4,8,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,2,8,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,1,8,3,7,6,2,4]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[5,4,8,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,8,3,2,6,4,1]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,7,3,8,2,6,4,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,2,6,8,7,3,4,1]=>[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,7,2,8,6,3,5,1]=>[1,2,8,3,5,4,7,6]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,2,8,6,4,3,5,1]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,1,8,6,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,2,8,7,6,3,4,5]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,3,8,7,4,6,2,5]=>[1,3,8,2,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[1,5,8,3,7,6,2,4]=>[1,5,8,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[5,1,6,8,7,4,2,3]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,8,7,2,5,4,3,1]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[3,8,7,6,4,5,2,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,8,7,6,5,3,4,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,7,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,5,7,4,6,2,3]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[3,7,4,8,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[4,7,2,8,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[3,7,2,8,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,7,3,8,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,7,4,8,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,8,2,7,4,6,1,3]=>[1,3,2,7,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,1,7,4,6,2,3]=>[1,7,2,3,4,6,5,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,7,4,8,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,7,3,8,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,8,1,7,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,8,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,8,2,6,3,5,1,4]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,2,7,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,7,3,8,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,7,2,8,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,7,1,8,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,8,5,7,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,8,3,7,1,5,2,4]=>[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[2,6,1,8,4,7,3,5]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,8,1,6,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,1,5,2,6,3,4]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,2,6,1,7,3,4]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,2,6,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[1,7,3,6,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[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]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,10,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]],.]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,10,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,10,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,2,4,5,6,7,8,9,1]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,7,4,6,2,3,1,8]=>[1,8,2,3,4,6,5,7]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,7,4,6,3,8,1,2]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[5,7,4,8,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
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[5,6,3,7,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
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[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
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[7,8,3,5,2,6,1,4]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
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[4,8,3,6,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,7,3,6,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,4,8,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,7,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,7,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,7,3,5,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,7,3,4,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,7,3,4,2,6,1,8]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,3,4,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,6,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,8,3,7,2,4,1,5]=>[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,8,3,7,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,8,3,7,2,5,1,6]=>[1,6,2,5,3,7,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,7,3,5,2,8,1,6]=>[1,6,2,8,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,7,3,5,2,6,1,8]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[4,5,3,7,2,6,1,8]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
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[5,8,3,4,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,3,4,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,3,4,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,8,3,4,2,5,1,7]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,3,4,2,6,1,7]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,3,5,2,6,1,7]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[4,5,3,8,2,6,1,7]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,3,6,2,8,1,7]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,7,5,2,1,8,3,6]=>[1,8,2,3,6,4,7,5]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,8,5,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,5,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,6,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,5,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,4,6,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,8,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,8,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,4,8,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,7,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[6,4,8,1,7,5,2,3]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,8,7,2,1,3,4]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[8,5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[8,4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,2,8,7,4,1,5]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,6,8,7,4,3,5]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[2,1,7,8,6,4,5,3]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,2,8,6,4,5,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
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[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,8,7,5,3,2,4,1]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[5,8,4,2,3,7,6,1]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,8,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
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[3,6,1,8,7,4,2,5]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,8,1,6,7,5,2,4]=>[1,6,7,2,4,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,7,1,6,8,2,5,4]=>[1,6,8,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
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[2,1,8,6,7,5,3,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[7,5,6,8,1,4,2,3]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
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[7,1,4,3,5,6,8,2]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
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[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[3,4,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[4,3,1,2,6,8,5,7]=>[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,8,1,6,3,2,4,7]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,3,8,5,2,1,4,7]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,8,6,7,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,5,8,3,1,6,4]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,7,5,6,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[7,2,1,3,8,6,4,5]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,5,7,3,2,4,6,8]=>[1,5,7,2,4,6,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,2,7,3,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[5,8,2,4,1,3,7,6]=>[1,3,7,2,4,5,8,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,8,1,6,3,2,7,5]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,1,8,6,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,5,8,7,2,4,1,6]=>[1,6,2,4,3,5,8,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,2,1,3,7,8,5,6]=>[1,3,7,8,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,4,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,5,8,3,1,7,4,6]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,1,8,3,2,4,6,7]=>[1,8,2,4,6,7,3,5]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[9,8,7,6,5,4,3,2,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,9,6,5,4,3,2,1]=>[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]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]
[8,7,6,5,4,9,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]],.]
[8,7,6,5,4,3,9,2,1]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]],.]
[8,7,6,5,4,3,2,9,1]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]
[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[9,10,8,7,6,5,4,3,2,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,10,7,6,5,4,3,2,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]],.]
[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]],.]
[8,7,6,4,5,9,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]
[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]],.]
[8,7,6,5,3,4,9,2,1]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]],.]
[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]],.]
[8,7,6,5,4,2,3,9,1]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]],.]
[9,8,7,6,5,4,3,10,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]],.]
[8,7,6,5,4,3,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]
[9,8,7,6,5,4,3,2,10,1]=>[1,2,10,3,4,5,6,7,8,9]=>[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]
[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,6,2,4,8,5,3,7]=>[1,6,2,4,8,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,7,3,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,5,7,8,6,1,3]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,2,3,1,8,5,6,4]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,2,1,8,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,2,8,3,5,1,7,4]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,2,4,8,5,7,1,3]=>[1,3,2,4,8,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[1,3,6,4,8,5,7,2]=>[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[1,3,6,4,7,5,8,2]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,2,4,7,5,8,1,3]=>[1,3,2,4,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[6,2,1,3,7,8,4,5]=>[1,3,7,8,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,6,4,2,3,1,8,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,2,3,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,4,2,6,8,1,3]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[1,7,5,3,4,6,8,2]=>[1,7,2,3,4,6,8,5]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,2,6,3,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,2,8,4,3,5,6,7]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[1,7,4,2,3,5,6,8]=>[1,7,2,3,5,6,8,4]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,8,4,1,3,2,5,7]=>[1,3,2,5,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,8,7,4,3,2,5,6]=>[1,8,2,5,6,3,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,6,3,8,2,4,7,5]=>[1,6,2,4,7,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,3,8,1,2,7,4,6]=>[1,2,7,3,8,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,3,1,2,6,4,8]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,5,8,2,4,6,3,7]=>[1,5,8,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,5,8,4,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,4,6,2,8,3,7,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,1,6,7,2,4,8]=>[1,6,7,2,4,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,3,6,1,2,8,4,7]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,6,3,2,7,8,4,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,7,4,5,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,4,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,3,1,4,2,7,5,8]=>[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,8,3,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,2,5,6,7,8,1,3]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,2,3,4,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,7,5,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[8,3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,7,5,4,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,4,6,8,2,7,3,5]=>[1,4,6,8,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,4,7,6,2,8,3,5]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,4,7,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,7,4,5,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,7,5,1,2,8,4,6]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,4,6,2,8,7,3,5]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,1,2,6,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,1,7,6,3,4,8,5]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,4,7,2,6,8,3,5]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[5,1,4,2,7,8,3,6]=>[1,4,2,7,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,2,6,8,7,3,5]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,1,2,8,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[3,1,2,7,6,4,8,5]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,7,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,7,4,3,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,8,7,2,1,3,5,6]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[1,8,7,3,4,2,5,6]=>[1,8,2,5,6,3,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,4,2,7,8,3,6,5]=>[1,4,2,7,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,4,2,6,8,3,7,5]=>[1,4,2,6,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,2,3,7,8,5,6,4]=>[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,1,2,3,4,10,5,6,7,8]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]],.]
[9,1,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,1,2,3,4,5,6,7,8,11,9]=>[1,2,3,4,5,6,7,8,11,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]],.]
[4,7,8,5,6,2,1,3]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,7,8,4,3,5,6,1]=>[1,2,7,8,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,7,8,3,2,1,5,6]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,8,3,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,6,3,8,2,1,4,5]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,6,3,8,2,1,4,7]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,4,8,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,6,4,7,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,6,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,3,2,1,7,5,8]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,3,2,7,1,6,8]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[2,6,5,7,8,3,4,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,6,4,7,3,8,5,1]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,4,3,2,1,6,8,5]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,4,3,2,1,5,8,6]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,3,2,1,5,8,7]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,4,2,6,8,1,7]=>[1,7,2,6,8,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[8,5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,3,7,5,1,4,2]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,7,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,2,6,4,8,5,1,7]=>[1,7,2,6,3,4,8,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,5,8,4,6,1,7]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,5,2,4,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,2,1,5,7,3,6,8]=>[1,5,7,2,3,6,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,5,2,3,7,1,6,8]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,2,5,8,3,1,6,7]=>[1,6,7,2,5,8,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,8,5,2,1,6,7]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,3,2,7,5,1,6,8]=>[1,6,8,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,6,2,5,1,7,8]=>[1,7,8,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,3,2,5,1,7,8]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,5,1,3,7,2,6,8]=>[1,3,7,2,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,5,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,2,1,4,3,7,8,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,3,6,1,5,2,7,8]=>[1,5,2,7,8,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,6,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,4,1,3,7,8,5]=>[1,3,7,8,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,6,4,1,2,7,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,6,3,1,7,2,5,8]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,