Identifier
Mp00090:
Permutations
—cycle-as-one-line notation⟶
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]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[2,1,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[2,3,1]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[3,1,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[[.,.],.],.]
[3,2,1]=>[1,3,2]=>[.,[[.,.],.]]=>[[[.,.],.],.]
[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,2,4,3]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,3,2,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,3,4,2]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,4,2,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[1,4,3,2]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[2,1,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,1,4,3]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,3,1,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,3,4,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,4,1,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[2,4,3,1]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,1,4,2]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,2,1,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,2,4,1]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,4,1,2]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,4,2,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[4,1,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[[[.,.],.],.],.]
[4,1,3,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[4,2,1,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[[[.,.],.],.],.]
[4,2,3,1]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[4,3,1,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[4,3,2,1]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,4,3,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,4,5,3]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,5,3,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,2,5,4,3]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,3,2,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,2,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,4,2,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,4,5,2]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,5,2,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,3,5,4,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,4,2,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,2,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,2,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,5,2]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,2,3]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,3,2]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,5,2,3,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[1,5,2,4,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,5,3,2,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[1,5,3,4,2]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,5,4,2,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,5,4,3,2]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,1,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,3,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,4,3,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,4,5,3]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,5,3,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,1,5,4,3]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,3,1,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,1,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,4,1,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,4,5,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,5,1,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,3,5,4,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,4,1,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,1,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,3,1,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,3,5,1]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,1,3]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,3,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,5,1,3,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[2,5,1,4,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,5,3,1,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[2,5,3,4,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,1,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,3,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[3,1,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,2,5,4]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,4,2,5]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,4,5,2]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,5,2,4]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,1,5,4,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,2,1,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,1,5,4]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,4,1,5]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,4,5,1]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,5,1,4]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,2,5,4,1]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,1,5,2]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,2,1,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,2,5,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,5,1,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,4,5,2,1]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,1,2,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,1,4,2]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,2,1,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,2,4,1]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,4,1,2]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,5,4,2,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[4,1,2,3,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,1,2,5,3]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,1,3,2,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,1,3,5,2]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,1,5,2,3]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,1,5,3,2]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,2,1,3,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,2,1,5,3]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,2,3,1,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,2,3,5,1]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,2,5,1,3]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,2,5,3,1]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,3,1,2,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,1,5,2]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,2,1,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,2,5,1]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,5,1,2]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,5,2,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,1,2,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,1,3,2]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,5,2,1,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,2,3,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,5,3,1,2]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,3,2,1]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,1,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>[[[[[.,.],.],.],.],.]
[5,1,2,4,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,1,3,2,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,1,3,4,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,1,4,2,3]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,2,1,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>[[[[[.,.],.],.],.],.]
[5,2,1,4,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,2,3,1,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,2,3,4,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,2,4,1,3]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,2,4,3,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,1,2,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,3,1,4,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,2,1,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,3,2,4,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,4,1,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,4,2,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,4,1,2,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,4,1,3,2]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[5,4,2,1,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,4,2,3,1]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[5,4,3,1,2]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[5,4,3,2,1]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
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[4,3,2,7,1,6,5]=>[1,4,7,5,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,5,1,6]=>[1,4,7,6,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
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[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
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[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,1,5,7,4,3]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,7,3,4,5]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,7,3,5,4]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,1,7,5,4,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,3,1,5,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,1,7,4,5]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,3,5,7,4,1]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,7,1,4,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,3,7,5,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,4,1,7,5,3]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,4,7,3,5,1]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,5,1,3,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,5,1,7,4,3]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,3,1,4,7]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,5,3,1,7,4]=>[1,6,7,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,5,3,7,4,1]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,5,7,1,4,3]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,5,7,3,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,7,4,2]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,7,2,4,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,7,2,5,4]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,7,4,5,2]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,7,5,4,2]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,4,5,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,1,5,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,7,4,5]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,7,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,4,1,5,7]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,7,5,1]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,7,4,1]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,7,1,4,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,2,7,5,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,4,1,7,5,2]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,2,1,5,7]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
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[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,2,7,5,1]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,4,7,1,5,2]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
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[6,3,4,7,2,5,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
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[6,3,5,1,2,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,1,4,7,2]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
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[6,3,5,1,7,4,2]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,2,1,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,2,7,4,1]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,4,1,7,2]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
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[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
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[6,3,5,7,1,4,2]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,7,2,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,1,4,5,2]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
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[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,2,4,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
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[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,4,1,2,3,5,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,1,2,7,5,3]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,1,3,5,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,3,7,2,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,3,7,2]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,7,2,3]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,1,7,2,5,3]=>[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,7,3,5,2]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,1,7,5,2,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,2,1,3,5,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,2,1,7,5,3]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,2,3,5,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,5,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,7,1,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,5,3,7,1]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,5,7,1,3]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,2,7,1,5,3]=>[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,7,3,5,1]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,7,5,1,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,3,1,2,7,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,1,5,2,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,5,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,7,2,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,7,5,2]=>[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,1,5,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,1,7,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,5,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,5,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,7,1,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,7,5,1]=>[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,1,7,2]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,2,7,1]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,7,1,2]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,7,2,1]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,3,7,5,1,2]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,5,2,1]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,3,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,7,2,3]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,7,3,2]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
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[6,4,5,2,3,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,2,3,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,2,7,1,3]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,3,1,2,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,1,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,2,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,2,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,7,1,2]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,7,2,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,1,2,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,7,2,1,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,7,3,1,2]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,3,2,1]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,1,3,5,2]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,2,3,1,5]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,2,3,5,1]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,3,1,2,5]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,3,2,1,5]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,3,5,1,2]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,3,5,2,1]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,5,1,2,3,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,2,3,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,5,1,3,4,7,2]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,3,7,4,2]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,4,2,3,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,4,2,7,3]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,4,3,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,3,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,7,2,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,7,2,3,4]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,7,2,4,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,7,3,2,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,7,3,4,2]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,7,4,3,2]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,3,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,1,3,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,1,4,3,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,4,7,3]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,7,4,3]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,3,1,4,7]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,3,4,1,7]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,4,7,1]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,7,1,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,7,4,1]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,4,1,3,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,4,1,7,3]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,4,3,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,3,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,7,1,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,7,1,3,4]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,7,1,4,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,7,3,1,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,7,3,4,1]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,7,4,1,3]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,7,4,3,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,3,1,2,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,1,2,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,1,4,2,7]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,4,7,2]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,7,2,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,7,4,2]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,1,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,1,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,4,1,7]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,4,7,1]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,7,1,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,7,4,1]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,1,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,2,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,2,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,7,1,2]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,7,2,1]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,1,2,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,1,4,2]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,7,2,1,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,2,4,1]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,7,4,1,2]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,7,4,2,1]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,4,1,2,3,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,1,3,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,3,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,7,2,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,7,3,2]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,1,3,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,3,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,3,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,7,1,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,7,3,1]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,3,1,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,1,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,7,1,2]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,7,2,1,3]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,7,3,1,2]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,7,1,2,4,3]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,1,3,2,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,1,3,4,2]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,1,4,2,3]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,7,2,1,4,3]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,2,3,1,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,2,3,4,1]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,2,4,1,3]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,3,1,2,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,3,1,4,2]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,7,3,2,1,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,3,2,4,1]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,7,3,4,1,2]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,3,4,2,1]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,4,1,2,3]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,4,2,1,3]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,4,3,1,2]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,1,2,3,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,2,3,5,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,1,2,4,5,3]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,1,2,5,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,3,2,4,5]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,1,3,2,5,4]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,7,1,3,4,5,2]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,7,1,3,5,2,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,1,3,5,4,2]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,1,4,3,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,1,4,3,5,2]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,1,5,2,4,3]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,5,3,2,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,1,5,3,4,2]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,2,1,3,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,1,3,5,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,2,1,5,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,3,1,4,5]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,2,4,3,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,2,4,3,5,1]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,2,5,1,4,3]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,5,3,1,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,2,5,3,4,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,3,1,5,2,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,1,5,4,2]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,2,1,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,3,2,5,1,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,2,5,4,1]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,4,1,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,3,5,1,2,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,5,1,4,2]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,5,2,1,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,5,2,4,1]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,4,1,3,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,1,3,5,2]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,4,2,3,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,2,3,5,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[7,6,5,2,3,4,8,1]=>[1,7,8,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[7,5,6,2,3,4,8,1]=>[1,7,8,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,7,3,2,4,5,8,1]=>[1,6,5,4,2,7,8,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[6,7,2,3,4,5,8,1]=>[1,6,5,4,3,2,7,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[7,5,4,3,2,6,8,1]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,3,5,2,6,8,1]=>[1,7,8,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,4,2,3,6,8,1]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,2,3,6,8,1]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,3,2,4,6,8,1]=>[1,7,8,2,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,5,2,3,4,6,8,1]=>[1,7,8,2,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,4,3,2,5,6,8,1]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,4,2,3,5,6,8,1]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,3,2,4,5,6,8,1]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,3,4,5,6,8,1]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,4,3,2,7,8,1]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,4,6,3,2,7,8,1]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,5,3,4,2,7,8,1]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,3,4,5,2,7,8,1]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,3,6,2,7,8,1]=>[1,5,2,4,6,7,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,3,5,6,2,7,8,1]=>[1,4,6,7,8,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,2,7,8,1]=>[1,3,5,2,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,5,4,2,3,7,8,1]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,4,2,3,7,8,1]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,4,5,2,3,7,8,1]=>[1,6,7,8,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,6,2,3,7,8,1]=>[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,2,3,7,8,1]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,2,3,4,7,8,1]=>[1,5,4,3,2,6,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,2,3,4,5,7,8,1]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,3,2,6,7,8,1]=>[1,5,6,7,8,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,3,2,6,7,8,1]=>[1,4,2,5,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,4,2,6,7,8,1]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,7,8,1]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,5,2,6,7,8,1]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,4,2,3,6,7,8,1]=>[1,5,6,7,8,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,2,3,6,7,8,1]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,3,2,4,6,7,8,1]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,3,4,6,7,8,1]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,2,5,6,7,8,1]=>[1,4,5,6,7,8,2,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,6,7,8,1]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,3,5,6,7,8,1]=>[1,4,5,6,7,8,2,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,6,7,8,1]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,3,1,2]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,5,4,3,1,2]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,7,5,4,3,1,2]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,8,5,4,3,1,2]=>[1,7,2,6,3,8,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,8,5,4,3,1,2]=>[1,6,3,8,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,5,6,4,3,1,2]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,6,4,3,1,2]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,6,5,7,4,3,1,2]=>[1,8,2,6,3,5,4,7]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,6,5,8,4,3,1,2]=>[1,7,2,6,3,5,4,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,5,6,8,4,3,1,2]=>[1,7,2,5,4,8,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
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[5,6,7,8,4,3,1,2]=>[1,5,4,8,2,6,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[8,7,6,4,5,3,1,2]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,4,5,3,1,2]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,7,4,5,3,1,2]=>[1,8,2,6,3,7,4,5]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,7,8,4,5,3,1,2]=>[1,6,3,8,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,5,4,6,3,1,2]=>[1,8,2,7,3,5,6,4]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,4,5,6,3,1,2]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,6,4,7,3,1,2]=>[1,8,2,5,7,3,6,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,6,4,5,7,3,1,2]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,4,5,8,3,1,2]=>[1,7,2,6,3,4,5,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,5,8,3,1,2]=>[1,6,3,4,5,8,2,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,6,4,7,8,3,1,2]=>[1,5,8,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,6,7,8,3,1,2]=>[1,5,8,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[4,5,6,7,8,3,1,2]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,6,5,3,4,1,2]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,5,3,4,1,2]=>[1,7,2,8,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,7,5,6,3,4,1,2]=>[1,8,2,7,3,5,4,6]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,6,3,4,1,2]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,5,6,7,3,4,1,2]=>[1,8,2,5,3,6,4,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,5,8,3,4,1,2]=>[1,6,4,8,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
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[6,5,7,8,3,4,1,2]=>[1,6,4,8,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[5,6,7,8,3,4,1,2]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,7,8,4,3,5,1,2]=>[1,6,5,3,8,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[8,7,6,3,4,5,1,2]=>[1,8,2,7,3,6,5,4]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]
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[7,5,3,4,2,6,1,8]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,3,5,2,6,1,8]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
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[7,2,3,4,5,6,1,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
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[5,4,6,3,2,7,1,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
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[4,3,5,6,2,7,1,8]=>[1,4,6,7,2,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,2,7,1,8]=>[1,3,5,2,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
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[6,2,3,4,5,7,1,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
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[5,4,6,3,2,1,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,6,3,2,1,7,8]=>[1,4,3,6,2,5,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
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[7,1,8,2,3,4,5,6]=>[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
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[8,6,4,3,7,2,5,1]=>[1,8,2,6,3,4,5,7]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
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[2,1,5,8,3,7,6,4]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,6,8,7,3,5,4]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,6,1,8,7,2,5,4]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,6,8,1,7,2,5,3]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,8,7,1,2,4,3]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,5,8,7,2,1,4,3]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,5,8,6,2,4,1,3]=>[1,7,2,5,3,8,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,5,7,6,2,4,3,1]=>[1,8,2,5,3,7,4,6]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[5,7,8,6,1,4,2,3]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,8,1,6,5,2,3]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,8,6,5,2,4]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,8,6,5,3,4]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,8,1,7,6,5,4,2]=>[1,3,2,8,4,7,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,8,7,1,6,5,3,2]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,8,7,6,1,4,3,2]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,8,7,5,4,1,3,2]=>[1,6,2,8,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,4,3,6,5,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,4,1,2,6,5,8,7,10,9]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[10,3,2,5,4,7,6,9,8,1]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[2,1,5,6,3,4,8,7,10,9]=>[1,2,3,5,4,6,7,8,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,1,10,5,4,7,6,9,8,3]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]],.]
[2,1,4,3,7,8,5,6,10,9]=>[1,2,3,4,5,7,6,8,9,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[2,1,4,3,10,7,6,9,8,5]=>[1,2,3,4,5,10,6,7,8,9]=>[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]],.]
[2,1,4,3,8,9,10,5,6,7]=>[1,2,3,4,5,8,6,9,7,10]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]],.]
[3,5,1,7,2,9,4,10,6,8]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[2,1,4,3,6,5,9,10,7,8]=>[1,2,3,4,5,6,7,9,8,10]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.]
[2,1,4,3,6,5,10,9,8,7]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]],.]
[4,2,5,1,3,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,2,4,1,3,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,2,6,1,3,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,3,6,1,2,4,7,8]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,5,1,2,4,7,8]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,4,7,1,2,3,6,8]=>[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,2,7,1,3,4,5,8]=>[1,6,4,2,3,7,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,3,7,1,2,4,5,8]=>[1,6,4,2,3,7,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,4,7,1,2,3,5,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,3,5,1,2,4,6,8]=>[1,7,6,4,2,3,5,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[7,3,6,1,2,4,5,8]=>[1,7,5,2,3,6,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,2,8,1,4,5,6,7]=>[1,3,8,7,6,5,4,2]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[4,2,8,1,3,5,6,7]=>[1,4,2,3,8,7,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[5,2,8,1,3,4,6,7]=>[1,5,3,8,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,4,8,1,2,3,6,7]=>[1,5,2,4,3,8,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[6,2,8,1,3,4,5,7]=>[1,6,4,2,3,8,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,3,8,1,2,4,5,7]=>[1,6,4,2,3,8,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,4,8,1,2,3,5,7]=>[1,6,3,8,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,5,8,1,2,3,4,7]=>[1,6,3,8,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,2,8,1,3,4,5,6]=>[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,3,8,1,2,4,5,6]=>[1,7,5,2,3,8,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,4,8,1,2,3,5,6]=>[1,7,5,2,4,3,8,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,5,8,1,2,3,4,6]=>[1,7,4,2,5,3,8,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,2,4,1,3,5,6,7]=>[1,8,7,6,5,3,4,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[8,3,5,1,2,4,6,7]=>[1,8,7,6,4,2,3,5]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,3,7,1,2,4,5,6]=>[1,8,6,4,2,3,7,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[8,4,7,1,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[8,5,7,1,2,3,4,6]=>[1,8,6,3,7,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[3,2,5,7,1,4,6,8]=>[1,3,5,2,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,3,5,7,1,2,6,8]=>[1,4,7,6,2,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,2,4,7,1,3,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,4,7,1,2,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,6,7,1,3,5,8]=>[1,4,7,5,2,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,2,6,7,1,3,4,8]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,6,7,1,2,4,8]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,2,5,7,1,3,4,8]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,2,4,6,1,3,5,8]=>[1,7,5,2,3,4,6,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,3,4,6,1,2,5,8]=>[1,7,5,2,3,4,6,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,3,5,6,1,2,4,8]=>[1,7,4,6,2,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[3,2,5,8,1,4,6,7]=>[1,3,5,2,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[4,2,5,8,1,3,6,7]=>[1,4,8,7,6,3,5,2]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[5,2,4,8,1,3,6,7]=>[1,5,2,3,4,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,2,6,8,1,4,5,7]=>[1,3,6,4,8,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,2,6,8,1,3,4,7]=>[1,5,2,3,6,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,4,8,1,3,5,7]=>[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,3,4,8,1,2,5,7]=>[1,6,2,3,4,8,7,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,2,5,8,1,3,4,7]=>[1,6,3,5,2,4,8,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,4,5,8,1,2,3,7]=>[1,6,2,4,8,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,2,7,8,1,4,5,6]=>[1,3,7,5,2,4,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,8,1,2,5,6]=>[1,4,8,6,2,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,3,7,8,1,2,4,6]=>[1,5,2,3,7,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,7,8,1,2,3,6]=>[1,5,2,4,8,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,2,7,8,1,3,4,5]=>[1,6,3,7,4,8,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,3,7,8,1,2,4,5]=>[1,6,2,3,7,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,7,8,1,2,3,5]=>[1,6,2,4,8,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,2,4,8,1,3,5,6]=>[1,7,5,2,3,4,8,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,3,4,8,1,2,5,6]=>[1,7,5,2,3,4,8,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,3,5,8,1,2,4,6]=>[1,7,4,8,6,2,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,4,5,8,1,2,3,6]=>[1,7,3,5,2,4,8,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[8,2,4,6,1,3,5,7]=>[1,8,7,5,2,3,4,6]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,3,4,6,1,2,5,7]=>[1,8,7,5,2,3,4,6]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,2,5,6,1,3,4,7]=>[1,8,7,4,6,3,5,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[8,3,5,6,1,2,4,7]=>[1,8,7,4,6,2,3,5]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[8,2,6,7,1,3,4,5]=>[1,8,5,2,3,6,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[3,6,2,5,1,4,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,2,5,1,3,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,6,3,5,1,2,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,2,4,1,3,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,7,2,5,1,4,6,8]=>[1,3,2,7,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,7,2,6,1,4,5,8]=>[1,3,2,7,5,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,3,6,1,2,5,8]=>[1,4,6,2,7,5,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,7,2,6,1,3,4,8]=>[1,5,2,7,4,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,7,3,6,1,2,4,8]=>[1,5,2,7,4,6,3,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
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[4,8,2,5,1,3,6,7]=>[1,4,5,2,8,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
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[4,3,1,8,2,7,5,6]=>[1,4,8,6,7,5,2,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,3,1,5,2,4,6,7]=>[1,8,7,6,4,5,2,3]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,3,1,6,2,4,5,7]=>[1,8,7,5,2,3,4,6]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[7,3,1,8,2,4,5,6]=>[1,7,5,2,3,4,8,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[8,3,1,5,2,7,4,6]=>[1,8,6,7,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[8,4,1,5,2,3,6,7]=>[1,8,7,6,3,2,4,5]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[7,4,1,5,2,3,8,6]=>[1,7,8,6,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[8,4,1,6,2,3,5,7]=>[1,8,7,5,2,4,6,3]=>[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]
[7,4,1,8,2,3,5,6]=>[1,7,5,2,4,8,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[6,8,1,5,2,3,4,7]=>[1,6,3,2,8,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,1,5,2,3,4,6]=>[1,8,6,3,2,7,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,7,1,6,2,3,4,5]=>[1,8,5,2,7,4,6,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[6,7,1,5,2,3,8,4]=>[1,6,3,2,7,8,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
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[8,4,1,5,2,7,3,6]=>[1,8,6,7,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
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[6,4,1,5,2,7,8,3]=>[1,6,7,8,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
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[4,3,1,7,6,2,8,5]=>[1,4,7,8,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
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[8,3,1,5,7,2,4,6]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[8,3,1,7,6,2,4,5]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[7,3,1,5,6,2,8,4]=>[1,7,8,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
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[4,3,1,5,6,8,2,7]=>[1,4,5,6,8,7,2,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,3,1,8,6,7,2,5]=>[1,4,8,5,6,7,2,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[8,3,1,5,6,7,2,4]=>[1,8,4,5,6,7,2,3]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
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[4,3,1,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
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[2,3,7,1,6,4,8,5]=>[1,2,3,7,8,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[2,3,5,1,8,7,4,6]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
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[2,8,7,1,3,4,5,6]=>[1,2,8,6,4,3,7,5]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]
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[2,7,4,1,6,3,8,5]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
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[2,5,4,1,6,8,3,7]=>[1,2,5,6,8,7,3,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
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[2,5,4,1,6,7,8,3]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
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[7,3,5,1,2,4,8,6]=>[1,7,8,6,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
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[6,3,5,1,2,8,4,7]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,3,5,1,2,7,4,6]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
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[7,5,4,1,2,3,8,6]=>[1,7,8,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
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[3,5,1,7,4,8,2,6]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,1,5,7,4,8,3,6]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,1,5,7,4,8,6,3]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,5,1,7,4,8,6,2]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,5,7,1,3,8,6,2]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,7,3,1,8,6,2]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,6,7,3,8,1,5,2]=>[1,4,3,7,5,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,6,7,3,8,5,1,2]=>[1,4,3,7,2,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,6,7,3,8,5,2,1]=>[1,4,3,7,2,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[5,6,7,8,3,1,4,2]=>[1,5,3,7,4,8,2,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,6,7,8,1,3,4,2]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,6,7,1,8,3,5,2]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,1,7,8,4,5,2]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,1,6,7,8,4,5,3]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,6,7,8,4,3,5]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,6,1,7,8,4,2,5]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,1,8,3,2,5]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,7,8,1,3,2,4]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,5,7,2,1,8,3,6]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,6,7,2,8,1,3,5]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,7,2,8,3,1,5]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,7,2,8,3,5,1]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,2,7,8,4,5,1]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,7,8,4,1,5]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,7,8,1,4,5]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,5,2,7,1,8,4,6]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,4,2,1,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,4,1,2,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,5,2,7,1,8,6,4]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,6,2,7,8,1,5,4]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,7,8,5,1,4]=>[1,3,2,6,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,6,2,7,8,5,4,1]=>[1,3,2,6,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,6,7,2,8,5,3,1]=>[1,4,2,6,5,8,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,7,2,8,5,1,3]=>[1,4,2,6,5,8,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,7,2,8,1,5,3]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,5,7,2,1,8,6,3]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,7,1,2,8,6,3]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,1,7,2,8,6,4]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,1,5,7,3,8,6,4]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,1,6,7,8,3,5,4]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,6,1,7,8,2,5,4]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,1,8,2,5,3]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,7,8,1,2,4,3]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,7,8,2,1,4,3]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,7,8,2,4,1,3]=>[1,5,2,6,4,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,8,2,4,3,1]=>[1,5,2,6,4,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,8,1,4,2,3]=>[1,5,2,6,4,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,6,7,1,8,5,2,3]=>[1,4,2,6,5,8,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,1,7,8,5,2,4]=>[1,3,2,6,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,1,6,7,8,5,3,4]=>[1,2,3,6,5,8,4,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[3,6,1,7,8,5,4,2]=>[1,3,2,6,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,6,7,1,8,5,3,2]=>[1,4,2,6,5,8,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,7,8,1,4,3,2]=>[1,5,2,6,4,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,8,4,1,3,2]=>[1,5,4,8,2,6,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[3,4,2,1,6,5,8,7,10,9]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,5,2,7,4,9,6,10,8,1]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[2,1,5,6,4,3,8,7,10,9]=>[1,2,3,5,4,6,7,8,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]=>[[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,1,4,3,7,8,6,5,10,9]=>[1,2,3,4,5,7,6,8,9,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[2,1,4,3,6,5,9,10,8,7]=>[1,2,3,4,5,6,7,9,8,10]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.]
[6,5,8,7,3,4,1,2]=>[1,6,4,7,2,5,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[3,6,7,4,5,8,1,2]=>[1,3,7,2,6,8,4,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,6,7,4,5,1,8,3]=>[1,2,6,3,7,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,7,4,5,2,3,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,5,4,7,6,2,3,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,4,7,6,1,8,3]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,5,4,7,6,8,1,2]=>[1,3,4,7,2,5,6,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[4,5,3,7,8,6,1,2]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,4,3,8,7,6,1,2]=>[1,5,7,2,4,8,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,8,3,7,5,1,2]=>[1,6,5,7,2,4,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[6,3,8,4,5,7,1,2]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,4,8,6,7,1,2]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,5,6,8,7,1,2]=>[1,4,6,7,2,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,2,5,6,1,8,7,4]=>[1,3,5,2,4,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[4,2,5,6,8,1,7,3]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,2,4,8,6,1,7,3]=>[1,5,6,2,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,8,4,5,1,7,3]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,8,2,4,5,1,6,3]=>[1,7,6,2,8,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[7,8,1,4,5,2,3,6]=>[1,7,3,2,8,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,1,8,4,5,2,3,7]=>[1,6,2,3,8,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,4,8,6,2,3,7]=>[1,5,6,2,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,1,3,2,8,6,5,7]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[5,1,3,8,2,6,4,7]=>[1,5,2,3,4,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,1,8,3,2,5,4,7]=>[1,6,5,2,3,8,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,8,1,3,2,5,4,6]=>[1,7,4,3,2,8,6,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[7,8,2,3,1,5,6,4]=>[1,7,6,5,2,8,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[6,2,8,3,1,5,7,4]=>[1,6,5,2,3,8,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,2,3,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,8,2,1,7,5,4]=>[1,6,7,5,2,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[7,8,3,2,1,6,5,4]=>[1,7,5,2,8,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,4,2,6,1,5,3]=>[1,7,5,6,2,8,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[5,4,2,8,7,1,6,3]=>[1,5,7,6,2,4,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
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[2,5,3,7,1,6,8,4]=>[1,2,5,3,4,7,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,3,7,2,6,4,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,6,7,3,2,5,4,8]=>[1,2,6,5,3,7,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,6,7,3,1,5,8,4]=>[1,2,6,5,3,7,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[3,6,7,2,1,8,5,4]=>[1,3,7,5,2,6,8,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[7,8,5,6,2,1,4,3]=>[1,7,4,6,2,8,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,5,8,7,1,2,3,4]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,4,1,8,7,2,3,6]=>[1,5,7,3,2,4,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,4,8,1,7,2,3,5]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,8,3,1,2,6,4,5]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[5,3,1,8,2,7,4,6]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,1,2,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,1,3,8,5,7,6]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[5,2,1,8,3,4,7,6]=>[1,5,3,2,4,8,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,2,8,1,3,4,7,5]=>[1,6,4,2,3,8,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,8,2,1,3,4,6,5]=>[1,7,6,4,2,8,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,3,1,2,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,1,6,2,4,8,7]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,1,5,2,4,8,7]=>[1,6,4,5,2,3,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,3,1,5,2,8,4,6]=>[1,7,4,5,2,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,4,5,1,2,7,3,6]=>[1,8,6,7,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[7,4,5,1,2,8,3,6]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,2,3,8,7]=>[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,4,6,1,2,3,8,7]=>[1,5,2,4,3,6,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[2,1,6,5,3,4,8,7]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,6,1,5,2,4,8,7]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,5,1,2,3,8,7]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,4,1,2,3,8,7]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,5,4,1,2,3,8,7]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,5,4,1,2,8,3,6]=>[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[8,6,4,1,7,2,3,5]=>[1,8,5,7,3,4,2,6]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,6,4,1,8,2,3,5]=>[1,7,3,4,2,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[6,7,4,1,8,2,3,5]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,4,1,2,8,3,6]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,5,1,2,8,3,6]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,5,2,8,4,6]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,5,3,8,4,6]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,1,8,5,3,7,4,6]=>[1,2,3,8,6,7,4,5]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]
[3,8,1,5,2,7,4,6]=>[1,3,2,8,6,7,4,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,8,5,1,2,7,3,6]=>[1,4,2,8,6,7,3,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,8,4,1,2,7,3,6]=>[1,5,2,8,6,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,4,1,7,2,3,5]=>[1,6,2,8,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,7,4,1,6,2,3,5]=>[1,8,5,6,2,7,3,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[5,8,6,7,1,2,3,4]=>[1,5,2,8,4,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[4,8,6,1,7,2,3,5]=>[1,4,2,8,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,8,1,6,7,2,4,5]=>[1,3,2,8,5,7,4,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[2,1,8,6,7,3,4,5]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[2,1,7,6,8,3,4,5]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[3,7,1,6,8,2,4,5]=>[1,3,2,7,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[4,7,6,1,8,2,3,5]=>[1,4,2,7,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,6,8,1,2,3,4]=>[1,5,2,7,3,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,7,1,2,8,3,6]=>[1,5,2,4,3,7,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,7,1,8,2,3,5]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,4,6,1,8,2,3,5]=>[1,7,3,6,2,4,5,8]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,4,6,1,7,2,3,5]=>[1,8,5,7,3,6,2,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[8,3,1,6,7,2,4,5]=>[1,8,5,7,4,6,2,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[7,3,1,6,8,2,4,5]=>[1,7,4,6,2,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,3,1,7,8,2,4,5]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,1,7,2,8,4,6]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,1,2,7,8,5,6]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,4,3,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[3,4,1,2,8,7,5,6]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[6,3,1,8,7,2,4,5]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,1,8,6,2,4,5]=>[1,7,4,8,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,4,7,1,6,2,3,5]=>[1,8,5,6,2,4,3,7]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[7,4,8,1,6,2,3,5]=>[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,4,8,1,2,7,3,6]=>[1,5,2,4,3,8,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,5,8,1,2,7,3,6]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,1,8,2,7,4,6]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,1,5,8,3,7,4,6]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,6,8,7,3,4,5]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,6,1,8,7,2,4,5]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,6,8,1,7,2,3,5]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,8,7,1,2,3,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,5,8,6,1,2,3,4]=>[1,7,3,8,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[8,5,7,6,1,2,3,4]=>[1,8,4,6,2,5,3,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,7,8,6,1,2,3,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,8,1,6,2,3,5]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,8,6,2,4,5]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,8,6,3,4,5]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,1,8,7,6,3,4,5]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[3,8,1,7,6,2,4,5]=>[1,3,2,8,5,6,4,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[4,8,7,1,6,2,3,5]=>[1,4,2,8,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[5,8,7,6,1,2,3,4]=>[1,5,2,8,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,8,7,5,1,2,3,4]=>[1,6,2,8,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,4,7,3,8,5,1,2]=>[1,6,5,8,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[6,4,7,3,5,8,1,2]=>[1,6,8,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,4,7,2,5,1,8,3]=>[1,6,2,4,3,7,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,2,7,6,1,3,8]=>[1,5,6,2,4,7,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,4,2,7,6,1,8,3]=>[1,5,6,2,4,7,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,4,3,7,6,8,1,2]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,4,3,7,8,6,1,2]=>[1,5,8,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[6,4,8,3,5,7,1,2]=>[1,6,7,2,4,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,3,8,6,7,1,2]=>[1,5,6,7,2,4,8,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,4,3,6,8,7,1,2]=>[1,5,8,2,4,6,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,4,2,6,7,1,8,3]=>[1,5,7,8,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,4,2,6,7,1,3,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,3,2,6,1,7,4,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,2,6,1,7,8,4]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,2,6,1,8,7,4]=>[1,5,2,3,4,6,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,4,2,6,8,1,7,3]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,4,2,8,6,1,7,3]=>[1,5,6,2,4,8,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[6,4,8,2,5,1,7,3]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,8,4,2,5,1,6,3]=>[1,7,6,2,8,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[7,8,4,2,5,1,3,6]=>[1,7,3,4,2,8,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[5,4,2,8,6,1,3,7]=>[1,5,6,2,4,8,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,3,2,6,1,8,4,7]=>[1,5,2,3,4,6,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,2,1,6,8,5,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,3,2,1,8,6,5,7]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[5,3,2,8,1,6,4,7]=>[1,5,2,3,4,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,3,8,2,1,5,4,7]=>[1,6,5,2,3,8,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,8,3,2,1,5,4,6]=>[1,7,4,2,8,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,8,3,2,1,5,6,4]=>[1,7,6,5,2,8,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[6,3,8,2,1,5,7,4]=>[1,6,5,2,3,8,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,3,2,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,2,7,8,1,6,3]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,3,2,7,1,8,6,4]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,7,1,6,8,4]=>[1,5,2,3,4,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,7,1,6,4,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,7,2,1,5,4,8]=>[1,6,5,2,3,7,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,3,7,2,1,5,8,4]=>[1,6,5,2,3,7,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,3,7,2,1,8,5,4]=>[1,6,8,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,4,7,2,8,1,5,3]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,5,7,8,2,1,4,3]=>[1,6,2,5,3,7,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,5,8,7,2,1,3,4]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,3,7,2,1,8,4,5]=>[1,6,8,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,3,7,2,1,4,8,5]=>[1,6,4,2,3,7,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,3,7,2,1,4,5,8]=>[1,6,4,2,3,7,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,3,2,7,1,4,8,6]=>[1,5,2,3,4,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,2,8,7,1,3,6]=>[1,5,7,3,2,4,8,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,8,4,2,6,1,3,5]=>[1,7,3,4,2,8,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,8,3,2,1,6,4,5]=>[1,7,4,2,8,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[6,3,8,2,1,7,4,5]=>[1,6,7,4,2,3,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,3,2,8,1,7,4,6]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,2,1,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,2,1,7,5,8,6]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,1,7,5,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,1,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,2,8,1,4,7,6]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,8,2,1,4,7,5]=>[1,6,4,2,3,8,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,8,3,2,1,4,6,5]=>[1,7,6,4,2,8,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[6,3,8,2,1,4,5,7]=>[1,6,4,2,3,8,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[4,3,2,1,8,5,6,7]=>[1,4,2,3,5,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[4,3,2,1,5,8,6,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[7,8,5,6,1,2,4,3]=>[1,7,4,6,2,8,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,8,4,1,6,2,5,3]=>[1,7,5,6,2,8,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,8,1,4,6,2,5,3]=>[1,7,5,6,2,8,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[6,1,8,4,7,2,5,3]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,8,4,7,2,5,3]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,6,8,3,2,7,5,4]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[6,1,8,3,2,7,5,4]=>[1,6,7,5,2,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[7,8,1,3,2,6,5,4]=>[1,7,5,2,8,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,3,1,2,6,5,4]=>[1,7,5,2,8,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,3,4,6,5,1,2]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,2,4,6,1,5,3]=>[1,7,5,6,2,8,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,8,2,3,1,6,5,4]=>[1,7,5,2,8,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,2,1,3,6,5,4]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,8,1,2,3,6,5,4]=>[1,7,5,3,2,8,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[6,1,8,2,3,7,5,4]=>[1,6,7,5,3,8,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,6,8,2,3,7,5,4]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[1,5,2,8,3,7,6,4]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,1,2,8,3,7,6,4]=>[1,5,3,2,4,8,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,2,1,8,3,7,6,4]=>[1,5,3,2,4,8,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,2,8,1,3,7,5,4]=>[1,6,7,5,3,8,4,2]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[6,2,8,3,1,7,5,4]=>[1,6,7,5,2,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,2,8,4,7,1,5,3]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,8,4,7,5,1,2]=>[1,6,5,7,2,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[3,6,8,4,7,5,1,2]=>[1,3,8,2,6,5,7,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[2,6,8,4,7,1,5,3]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,6,8,3,1,7,5,4]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,6,8,1,3,7,5,4]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,5,1,8,3,7,6,4]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,2,5,8,3,7,6,4]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,4,1,3,8,7,6,5]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[2,5,3,8,1,7,6,4]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,5,4,8,7,1,6,3]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,4,8,7,6,1,2]=>[1,3,4,8,2,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[5,3,4,8,7,6,1,2]=>[1,5,7,2,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,4,8,7,1,6,3]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,3,8,1,7,6,4]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,1,3,8,7,6,5]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,1,2,3,8,7,6,5]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[1,4,2,3,8,7,6,5]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[4,1,3,2,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,1,2,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,3,8,1,2,7,5,4]=>[1,6,7,5,2,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[5,3,1,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,1,3,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,3,8,2,7,6,4]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,5,4,8,7,2,6,3]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,1,4,8,7,2,6,3]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,1,8,7,2,6,3]=>[1,5,7,6,2,4,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,8,1,7,2,5,3]=>[1,6,2,4,3,8,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,5,8,7,1,2,4,3]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,6,8,7,3,4,1,2]=>[1,5,3,8,2,6,4,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,6,8,7,2,1,4,3]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,5,1,8,7,2,6,3]=>[1,4,8,3,2,5,7,6]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[4,1,5,8,7,2,6,3]=>[1,4,8,3,5,7,6,2]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[1,4,5,8,7,2,6,3]=>[1,2,4,8,3,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[1,3,5,8,2,7,6,4]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[3,1,5,8,2,7,6,4]=>[1,3,5,2,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,6,8,1,2,7,5,4]=>[1,3,8,4,2,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,6,8,2,1,7,5,4]=>[1,3,8,4,2,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,8,2,7,1,5,3]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,8,3,7,5,1,2]=>[1,4,3,8,2,6,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[4,5,3,8,7,6,1,2]=>[1,4,8,2,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,5,2,8,7,1,6,3]=>[1,4,8,3,2,5,7,6]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,5,2,8,1,7,6,4]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,1,4,2,8,7,6,5]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,1,2,4,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,2,5,8,1,7,6,4]=>[1,3,5,2,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,2,5,8,7,1,6,3]=>[1,4,8,3,5,7,6,2]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[4,3,5,8,7,6,1,2]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,4,5,8,7,6,1,2]=>[1,3,5,7,2,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,8,7,1,6,3]=>[1,2,4,8,3,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[2,3,5,8,1,7,6,4]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[4,1,3,2,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,1,3,2,6,4,8,7]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[6,1,3,2,5,4,8,7]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,1,3,2,5,4,8,6]=>[1,7,8,6,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[8,1,3,2,5,4,7,6]=>[1,8,6,4,2,3,5,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[8,1,4,2,5,3,7,6]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,1,4,2,5,3,8,6]=>[1,7,8,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[6,1,4,2,5,3,8,7]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,2,6,3,8,7]=>[1,5,6,3,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,3,5,4,8,7]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,1,6,2,5,4,8,7]=>[1,3,6,4,2,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,1,6,2,5,3,8,7]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,2,5,1,4,3,8,7]=>[1,6,3,5,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,2,6,1,4,3,8,7]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[5,2,7,1,4,3,8,6]=>[1,5,4,2,3,7,8,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,2,8,1,4,3,7,6]=>[1,5,4,2,3,8,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[6,2,8,1,4,3,7,5]=>[1,6,3,8,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,2,7,1,4,3,8,5]=>[1,6,3,7,8,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,2,6,1,4,3,8,5]=>[1,7,8,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[7,2,5,1,4,3,8,6]=>[1,7,8,6,3,5,4,2]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[4,1,7,2,5,3,8,6]=>[1,4,2,3,7,8,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,1,7,2,5,4,8,6]=>[1,3,7,8,6,4,2,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,1,7,3,5,4,8,6]=>[1,2,3,7,8,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[2,1,8,3,5,4,7,6]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]
[3,1,8,2,5,4,7,6]=>[1,3,8,6,4,2,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,1,8,2,5,3,7,6]=>[1,4,2,3,8,6,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,2,5,1,4,3,7,6]=>[1,8,6,3,5,4,2,7]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[8,2,6,1,4,3,7,5]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[7,1,4,3,8,2,6,5]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[8,1,4,3,7,2,6,5]=>[1,8,5,7,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,1,5,3,7,2,6,4]=>[1,8,4,3,5,7,6,2]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[7,1,5,3,8,2,6,4]=>[1,7,6,2,3,5,8,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[8,2,6,1,5,3,7,4]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,1,8,2,6,3,7,4]=>[1,5,6,3,8,4,2,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[4,1,8,2,6,3,7,5]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,1,8,2,6,4,7,5]=>[1,3,8,5,6,4,2,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[2,1,8,3,6,4,7,5]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[2,1,7,3,6,4,8,5]=>[1,2,3,7,8,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[4,1,7,2,6,3,8,5]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,7,2,6,3,8,4]=>[1,5,6,3,7,8,4,2]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[7,2,6,1,5,3,8,4]=>[1,7,8,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,2,7,1,5,3,8,4]=>[1,6,3,7,8,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,2,8,1,5,3,7,4]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,1,5,2,6,3,7,4]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[6,1,5,2,7,3,8,4]=>[1,6,3,5,7,8,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[6,1,4,2,7,3,8,5]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[8,1,4,2,6,3,7,5]=>[1,8,5,6,3,4,2,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[8,1,3,2,6,4,7,5]=>[1,8,5,6,4,2,3,7]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[7,1,3,2,6,4,8,5]=>[1,7,8,5,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[6,1,3,2,7,4,8,5]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,1,3,2,7,4,8,6]=>[1,5,7,8,6,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,1,3,2,7,5,8,6]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,4,3,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[3,1,4,2,8,5,7,6]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[4,1,3,2,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,1,3,2,8,4,7,6]=>[1,5,8,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[6,1,3,2,8,4,7,5]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,4,7,1,3,2,6,5]=>[1,8,5,3,7,6,2,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,4,8,1,3,2,6,5]=>[1,7,6,2,4,3,8,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[7,3,8,1,4,2,6,5]=>[1,7,6,2,3,8,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[8,3,7,1,4,2,6,5]=>[1,8,5,4,2,3,7,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[6,1,4,2,8,3,7,5]=>[1,6,3,4,2,5,8,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,1,4,2,8,3,7,6]=>[1,5,8,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,1,5,2,8,3,7,6]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,1,5,2,8,4,7,6]=>[1,3,5,8,6,4,2,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,1,5,3,8,4,7,6]=>[1,2,3,5,8,6,4,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,6,3,8,4,7,5]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,1,6,2,8,4,7,5]=>[1,3,6,4,2,5,8,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,1,6,2,8,3,7,5]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,1,6,2,8,3,7,4]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[6,1,5,2,8,3,7,4]=>[1,6,3,5,8,4,2,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[8,3,7,1,5,2,6,4]=>[1,8,4,2,3,7,6,5]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[7,3,8,1,5,2,6,4]=>[1,7,6,2,3,8,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[6,2,7,3,8,1,5,4]=>[1,6,2,3,7,5,8,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,2,8,3,7,1,5,4]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,7,2,6,1,5,4]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[5,1,8,3,7,2,6,4]=>[1,5,7,6,2,3,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,8,3,7,2,6,5]=>[1,4,3,8,5,7,6,2]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,1,8,4,7,2,6,5]=>[1,3,8,5,7,6,2,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[2,1,8,4,7,3,6,5]=>[1,2,3,8,5,7,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[2,1,7,4,8,3,6,5]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[3,1,7,4,8,2,6,5]=>[1,3,7,6,2,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,1,7,3,8,2,6,5]=>[1,4,3,7,6,2,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[5,1,7,3,8,2,6,4]=>[1,5,8,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[7,3,8,2,6,1,5,4]=>[1,7,5,6,2,3,8,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[8,2,6,3,7,1,5,4]=>[1,8,4,3,6,2,5,7]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[7,2,6,3,8,1,5,4]=>[1,7,5,8,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[3,4,2,6,8,1,5,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[5,3,6,2,8,1,4,7]=>[1,5,8,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[5,3,6,2,4,8,1,7]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[5,7,3,8,2,4,1,6]=>[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,3,8,2,4,6,1]=>[1,5,2,7,6,4,8,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,4,2,5,8,3,6,1]=>[1,7,6,3,2,4,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[7,4,2,5,8,3,1,6]=>[1,7,2,4,5,8,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,5,2,6,3,8,1,7]=>[1,4,6,8,7,2,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,5,2,1,6,8,3,7]=>[1,4,2,5,6,8,7,3]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,3,1,6,8,2,4,7]=>[1,5,8,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
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[3,5,6,1,4,8,2,7]=>[1,3,6,8,7,2,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
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[4,5,1,6,3,8,2,7]=>[1,4,6,8,7,2,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
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[7,4,5,3,8,2,1,6]=>[1,7,2,4,3,5,8,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,4,5,3,8,2,6,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[6,7,4,8,3,2,5,1]=>[1,6,2,7,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,4,8,3,2,1,5]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,4,1,8,3,2,5]=>[1,6,3,4,2,7,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
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[4,7,1,5,8,3,2,6]=>[1,4,5,8,6,3,2,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[5,3,7,8,1,4,2,6]=>[1,5,2,3,7,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,5,8,2,4,6,1,3]=>[1,7,2,5,4,3,8,6]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,3,5,8,1,4,6,2]=>[1,7,6,4,8,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,5,1,7,8,3,6,2]=>[1,4,7,6,3,2,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[7,4,1,5,8,3,6,2]=>[1,7,6,3,2,4,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[6,7,4,3,8,1,5,2]=>[1,6,2,7,5,8,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,4,8,3,1,5,2]=>[1,6,2,7,5,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,4,8,3,5,2,1]=>[1,6,5,3,4,8,2,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[5,6,7,3,8,4,2,1]=>[1,5,8,2,6,4,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,6,7,3,1,8,4,2]=>[1,5,2,6,8,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,1,7,3,8,4,2]=>[1,5,3,2,6,8,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,1,6,7,3,8,4,2]=>[1,5,3,6,8,2,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[6,4,7,1,8,3,5,2]=>[1,6,3,7,5,8,2,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[6,7,8,3,1,4,5,2]=>[1,6,4,3,8,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[6,7,2,8,4,5,1,3]=>[1,6,5,4,8,3,2,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[6,7,2,8,4,1,3,5]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,7,4,8,3,2,5]=>[1,6,3,7,2,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,7,3,2,8,4]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,1,7,3,2,8,4]=>[1,5,3,2,6,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,3,2,1,8,4]=>[1,5,2,6,3,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,7,3,2,8,4,1]=>[1,5,2,6,8,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,2,7,3,8,4,1]=>[1,5,3,2,6,8,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,6,2,7,3,1,8,4]=>[1,5,3,2,6,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,2,1,7,3,8,4]=>[1,5,7,8,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,1,7,4,2,8,3,5]=>[1,6,8,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,7,2,1,8,3,4,5]=>[1,6,3,2,7,4,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,5,8,2,1,3,4,6]=>[1,7,4,2,5,3,8,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[5,7,3,1,8,2,4,6]=>[1,5,8,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,7,1,5,2,8,3,6]=>[1,4,5,2,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[7,4,2,5,1,8,3,6]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,2,1,8,3,5]=>[1,6,8,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,7,4,2,8,3,1,5]=>[1,6,3,4,2,7,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,7,4,2,8,3,5,1]=>[1,6,3,4,2,7,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[3,6,7,2,8,4,5,1]=>[1,3,7,5,8,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,6,7,2,8,4,1,5]=>[1,3,7,2,6,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,6,7,2,1,8,4,5]=>[1,3,7,4,2,6,8,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[5,7,3,8,2,1,4,6]=>[1,5,2,7,4,8,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[3,4,7,8,2,1,5,6]=>[1,3,7,5,2,4,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,7,8,1,4,6,2,5]=>[1,3,8,5,4,2,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[3,4,7,8,2,6,1,5]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,3,8,2,6,1,4]=>[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,7,2,8,5,1,4]=>[1,3,7,2,6,5,8,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[3,6,7,8,5,2,1,4]=>[1,3,7,2,6,4,8,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,6,7,8,5,2,4,1]=>[1,3,7,4,8,2,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[6,4,7,8,2,5,3,1]=>[1,6,5,2,4,8,3,7]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[6,4,7,8,2,1,5,3]=>[1,6,2,4,8,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,1,5,7,8,2,6,3]=>[1,4,7,6,2,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,3,7,8,1,6,2,4]=>[1,5,2,3,7,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,2,8,5,1,3,4]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,1,7,8,2,5,3]=>[1,6,2,4,7,5,8,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,1,6,2,7,8,4,3]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,2,1,7,8,4,3]=>[1,5,7,4,2,6,8,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,2,7,1,8,4,3]=>[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,2,7,8,4,3,1]=>[1,5,8,2,6,4,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,6,7,2,8,4,3,1]=>[1,5,8,2,6,4,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,6,7,2,1,8,4,3]=>[1,5,2,6,8,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,1,7,2,8,4,3]=>[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,6,7,2,8,4,3]=>[1,5,2,3,6,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,7,1,8,2,5,3]=>[1,6,2,4,3,7,5,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,6,7,1,8,5,2,4]=>[1,3,7,2,6,5,8,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[6,7,8,5,2,4,1,3]=>[1,6,4,5,2,7,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,7,8,3,5,1,4,2]=>[1,6,2,7,4,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,6,7,8,1,5,3,2]=>[1,4,8,2,6,5,3,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,1,6,7,8,4,3,2]=>[1,5,8,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,6,1,7,8,4,3,2]=>[1,5,8,2,6,4,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,6,7,1,8,4,3,2]=>[1,5,8,2,6,4,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[8,6,1,3,4,2,5,7]=>[1,8,7,5,4,3,2,6]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[8,3,2,5,1,6,4,7]=>[1,8,7,4,5,2,3,6]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,5,3,6,2,4,1,7]=>[1,8,7,2,5,3,4,6]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[5,3,2,7,4,1,8,6]=>[1,5,4,7,8,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[7,5,3,8,2,4,6,1]=>[1,7,6,4,8,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[7,2,4,5,8,3,6,1]=>[1,7,6,3,4,5,8,2]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[2,4,5,3,7,1,8,6]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,2,4,5,6,3,1,7]=>[1,8,7,2,3,4,5,6]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[8,2,4,5,6,1,3,7]=>[1,8,7,3,4,5,6,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,1,2,4,5,6,3,7]=>[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,2,5,1,3,6,4,7]=>[1,8,7,4,2,3,5,6]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,5,6,2,1,4,3,7]=>[1,8,7,3,6,4,2,5]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
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[4,3,6,7,2,8,5,1]=>[1,4,7,5,2,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,3,6,7,2,8,1,5]=>[1,4,7,2,3,6,8,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
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[4,1,5,3,7,2,8,6]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
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[7,5,8,2,1,4,6,3]=>[1,7,6,4,2,5,3,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[7,5,3,8,4,1,6,2]=>[1,7,6,2,5,4,8,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[7,4,5,8,3,6,1,2]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,3,6,7,8,1,5,2]=>[1,4,7,5,8,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
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[3,5,6,7,8,4,1,2]=>[1,3,6,4,7,2,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,1,5,6,7,8,4,2]=>[1,3,5,7,4,6,8,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,6,1,7,8,3,5,2]=>[1,4,7,5,8,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,7,1,4,8,5,2]=>[1,3,7,5,4,2,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,2,4,1,7,8,5,3]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
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[4,3,6,7,8,1,2,5]=>[1,4,7,2,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,5,3,6,7,8,2,4]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
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[3,5,6,7,8,2,4,1]=>[1,3,6,2,5,8,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,2,7,1,3,8,4,6]=>[1,5,3,7,4,2,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,3,1,7,8,2,4,6]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,2,7,8,1,3,6]=>[1,4,7,3,2,5,8,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,2,6,7,8,3,1,5]=>[1,4,7,2,3,6,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,2,6,7,8,3,5,1]=>[1,4,7,5,8,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,2,7,4,8,5,1]=>[1,3,2,6,8,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,6,2,7,4,8,1,5]=>[1,3,2,6,8,5,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,2,1,6,4,7,8,5]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,7,4,2,1,5,8,6]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[1,7,3,4,2,5,8,6]=>[1,2,7,8,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[[.,[[[[.,[.,.]],.],.],[.,.]]],.]
[4,7,2,1,3,5,8,6]=>[1,4,2,7,8,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,8,4,2,1,3,6,5]=>[1,7,6,3,4,2,8,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[7,8,1,3,4,2,6,5]=>[1,7,6,2,8,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[7,8,3,4,2,1,6,5]=>[1,7,6,2,8,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[6,3,2,7,1,8,5,4]=>[1,6,8,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,6,2,7,1,8,5,4]=>[1,3,2,6,8,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,7,3,8,2,5,4,1]=>[1,6,5,2,7,4,8,3]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[6,4,7,8,5,2,3,1]=>[1,6,2,4,8,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,6,4,7,8,1,5,3]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,6,2,7,8,1,5,3]=>[1,4,7,5,8,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[7,4,5,8,6,2,1,3]=>[1,7,2,4,8,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,4,1,5,8,6,2,3]=>[1,7,2,4,5,8,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,3,8,6,1,2,4]=>[1,7,2,5,6,3,4,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,5,8,2,1,6,3,4]=>[1,7,3,8,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[6,2,7,1,3,8,5,4]=>[1,6,8,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,3,1,7,8,2,5,4]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,1,7,8,5,2,3]=>[1,4,7,2,6,5,8,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,1,2,6,7,8,4,3]=>[1,5,7,4,6,8,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[5,2,6,7,8,4,1,3]=>[1,5,8,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,2,6,7,8,4,3,1]=>[1,5,8,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,5,6,7,8,4,1,3]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,5,2,6,7,8,4,3]=>[1,2,5,7,4,6,8,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,6,4,7,8,5,2,3]=>[1,2,6,5,8,3,4,7]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[2,6,7,1,3,8,5,4]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[6,7,8,2,1,5,4,3]=>[1,6,5,2,7,4,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[6,7,3,8,5,1,4,2]=>[1,6,2,7,4,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,4,7,8,5,3,1,2]=>[1,6,3,7,2,4,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,5,2,3,7,6,1,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[6,4,3,7,2,5,1,8]=>[1,6,5,2,4,7,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[8,4,3,6,5,1,2,7]=>[1,8,7,2,4,6,3,5]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.]
[1,5,6,3,4,8,7,2]=>[1,2,5,4,3,6,8,7]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[4,6,2,7,3,5,1,8]=>[1,4,7,2,6,5,3,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,2,6,7,4,5,1,8]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[4,7,2,6,5,3,1,8]=>[1,4,6,3,2,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,7,6,2,4,3,1,8]=>[1,5,4,2,7,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[1,7,5,4,8,3,6,2]=>[1,2,7,6,3,5,8,4]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]
[8,7,5,4,1,3,2,6]=>[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[6,8,5,4,2,1,3,7]=>[1,6,2,8,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,8,6,2,4,1,3,7]=>[1,5,4,2,8,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,8,2,6,5,1,3,7]=>[1,4,6,2,8,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,2,8,6,5,1,4,7]=>[1,3,8,7,4,6,2,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]
[4,1,2,6,5,8,7,3]=>[1,4,6,8,3,2,5,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[5,1,6,2,4,8,7,3]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[6,1,5,4,2,8,7,3]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,1,5,4,8,2,6,3]=>[1,7,6,2,3,5,8,4]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[8,1,5,4,7,6,2,3]=>[1,8,3,5,7,2,4,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[1,8,6,7,4,5,3,2]=>[1,2,8,3,6,5,4,7]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]
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[7,1,6,8,4,2,5,3]=>[1,7,5,4,8,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[6,1,7,8,2,4,5,3]=>[1,6,4,8,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[5,1,7,2,8,4,6,3]=>[1,5,8,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,1,2,7,8,5,6,3]=>[1,4,7,6,5,8,3,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,2,1,7,8,5,6,4]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[3,2,8,7,1,5,4,6]=>[1,3,8,6,5,2,4,7]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
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[5,8,7,2,1,4,3,6]=>[1,5,2,8,6,4,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,8,7,1,2,4,3,5]=>[1,6,4,2,8,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,8,6,1,4,2,3,5]=>[1,7,3,6,2,8,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[8,7,6,1,4,3,2,5]=>[1,8,5,4,2,7,3,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[1,7,6,8,4,3,5,2]=>[1,2,7,5,4,8,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[1,6,7,8,3,4,5,2]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[8,6,7,1,3,4,2,5]=>[1,8,5,3,7,2,6,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,6,8,1,3,2,4,5]=>[1,7,4,2,6,3,8,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[5,7,8,2,1,3,4,6]=>[1,5,2,7,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,7,2,8,1,3,5,6]=>[1,4,8,6,3,2,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[3,2,6,8,4,1,5,7]=>[1,3,6,2,4,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
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[6,5,8,3,2,1,4,7]=>[1,6,2,5,3,8,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,5,8,3,1,2,4,6]=>[1,7,4,3,8,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
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[1,4,3,7,8,5,6,2]=>[1,2,4,7,6,5,8,3]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
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[8,6,1,7,3,5,2,4]=>[1,8,4,7,2,6,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
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[1,7,8,6,5,3,4,2]=>[1,2,7,4,6,3,8,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[8,7,1,6,5,3,2,4]=>[1,8,4,6,3,2,7,5]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[7,8,1,6,5,2,3,4]=>[1,7,3,2,8,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[6,8,1,7,2,5,3,4]=>[1,6,5,2,8,4,7,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[5,8,1,2,7,6,3,4]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[4,8,2,1,7,6,3,5]=>[1,4,2,8,5,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,2,8,1,7,6,4,5]=>[1,3,8,5,7,4,2,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[4,1,2,8,7,6,5,3]=>[1,4,8,3,2,5,7,6]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[5,1,8,2,7,6,4,3]=>[1,5,7,4,2,3,8,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,1,8,7,2,5,4,3]=>[1,6,5,2,3,8,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,1,8,6,5,2,4,3]=>[1,7,4,6,2,3,8,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[8,1,7,6,5,4,2,3]=>[1,8,3,7,2,4,6,5]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.]
[3,1,2,6,5,8,7,4]=>[1,3,2,4,6,8,5,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[3,1,6,2,4,8,7,5]=>[1,3,6,8,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,1,5,2,4,8,7,6]=>[1,3,5,4,2,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[4,5,1,2,3,8,7,6]=>[1,4,2,5,3,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,6,1,2,3,8,7,5]=>[1,4,2,6,8,5,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,6,5,3,4,8,7,2]=>[1,2,6,8,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[6,1,5,2,4,8,7,3]=>[1,6,8,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,5,1,2,3,8,7,4]=>[1,6,8,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,4,1,2,3,8,7,5]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[5,4,1,2,3,8,7,6]=>[1,5,3,2,4,6,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,4,1,2,7,3,6,8]=>[1,5,7,6,3,2,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,4,1,7,2,3,5,8]=>[1,6,3,2,4,7,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,4,1,8,2,3,5,7]=>[1,6,3,2,4,8,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,4,1,2,8,3,6,5]=>[1,7,6,3,2,4,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[7,5,1,2,8,3,6,4]=>[1,7,6,3,2,5,8,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[7,1,5,2,8,4,6,3]=>[1,7,6,4,2,3,5,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[1,7,5,3,8,4,6,2]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[1,8,5,3,7,4,6,2]=>[1,2,8,3,5,7,6,4]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[8,1,5,2,7,4,6,3]=>[1,8,3,5,7,6,4,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[8,5,1,2,7,3,6,4]=>[1,8,4,2,5,7,6,3]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,4,1,2,7,3,6,5]=>[1,8,5,7,6,3,2,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[8,4,1,7,2,3,5,6]=>[1,8,6,3,2,4,7,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,4,1,6,2,3,5,8]=>[1,7,5,2,4,6,3,8]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[8,6,1,7,2,3,5,4]=>[1,8,4,7,5,2,6,3]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,1,6,7,2,4,5,3]=>[1,8,3,6,4,7,5,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,8,6,7,3,4,5,2]=>[1,2,8,3,6,4,7,5]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,7,6,8,3,4,5,2]=>[1,2,7,5,3,6,4,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[7,1,6,8,2,4,5,3]=>[1,7,5,2,3,6,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,6,1,8,2,3,5,4]=>[1,7,5,2,6,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[4,7,1,2,8,3,6,5]=>[1,4,2,7,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,1,7,2,8,4,6,5]=>[1,3,7,6,4,2,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,2,7,8,5,6,4]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[1,4,3,8,7,5,6,2]=>[1,2,4,8,3,5,7,6]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[4,1,2,8,7,5,6,3]=>[1,4,8,3,2,5,7,6]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,1,2,8,7,5,6,4]=>[1,3,2,4,8,5,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[3,1,8,2,7,4,6,5]=>[1,3,8,5,7,6,4,2]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[3,1,8,7,2,4,5,6]=>[1,3,8,6,4,7,5,2]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,1,7,6,2,4,5,8]=>[1,3,7,5,2,4,6,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,1,6,2,3,5,8]=>[1,4,6,3,2,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[4,8,1,6,2,3,5,7]=>[1,4,6,3,2,8,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,8,1,7,2,3,5,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,1,2,7,3,6,5]=>[1,4,2,8,5,7,6,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[5,8,1,2,7,3,6,4]=>[1,5,7,6,3,2,8,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,8,2,7,4,6,3]=>[1,5,7,6,4,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[1,5,8,3,7,4,6,2]=>[1,2,5,7,6,4,3,8]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,6,8,7,3,4,5,2]=>[1,2,6,4,7,5,3,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[6,1,8,7,2,4,5,3]=>[1,6,4,7,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,8,1,7,2,3,5,4]=>[1,6,3,2,8,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,8,7,1,2,3,4,5]=>[1,6,3,7,4,2,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,8,7,1,2,3,4,6]=>[1,5,2,8,6,3,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,8,6,1,2,3,4,7]=>[1,5,2,8,7,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[5,7,6,1,2,3,4,8]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,8,1,6,2,3,5,4]=>[1,7,5,2,8,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,1,8,6,2,4,5,3]=>[1,7,5,2,3,8,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,7,8,6,3,4,5,2]=>[1,2,7,5,3,8,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,8,7,6,3,4,5,2]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]
[8,1,7,6,2,4,5,3]=>[1,8,3,7,5,2,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[8,7,1,6,2,3,5,4]=>[1,8,4,6,3,2,7,5]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.