Identifier
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0010;cc-rep-2
[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]
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[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[.,[[[.,[.,.]],.],[.,.]]]
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[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
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[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
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[6,4,5,1,2,3,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
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[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
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[6,4,5,2,3,1,7]=>[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]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
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[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,7,1,5,3,2]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,4,7,2,1,3,5]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,4,7,2,1,5,3]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
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[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
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[6,4,7,5,1,2,3]=>[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]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,7,5,3,2,1]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
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[6,5,1,2,4,7,3]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,5,1,2,7,3,4]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,5,1,3,2,4,7]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
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[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
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[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]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
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[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]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
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[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
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[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]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
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[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]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
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[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]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
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[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
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[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]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,7,1,4,2,3,5]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,7,1,4,2,5,3]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,1,4,5,3,2]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,1,5,2,3,4]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,1,5,4,3,2]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,7,2,1,4,3,5]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,7,2,1,4,5,3]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,7,2,1,5,3,4]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,7,2,3,1,5,4]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[6,7,2,3,4,1,5]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[6,7,2,3,4,5,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[6,7,2,3,5,1,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,7,2,4,1,3,5]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,7,2,4,1,5,3]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,2,4,5,3,1]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,2,5,1,3,4]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,2,5,4,3,1]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,3,1,2,5,4]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[6,7,3,1,4,2,5]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[6,7,3,1,4,5,2]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,3,2,1,5,4]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[6,7,3,2,4,1,5]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[6,7,3,2,4,5,1]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[6,7,3,4,1,5,2]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[6,7,3,4,2,5,1]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,1,2,3,5]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,4,1,2,5,3]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,1,5,3,2]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,4,2,1,3,5]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,4,2,1,5,3]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,2,5,3,1]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[6,7,4,3,1,5,2]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[6,7,4,3,2,5,1]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,5,1,3,2]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,5,2,3,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,5,1,2,3,4]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,5,1,3,2,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,5,1,4,2,3]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[6,7,5,1,4,3,2]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,7,5,2,1,3,4]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,5,2,3,1,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,5,2,4,1,3]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[6,7,5,2,4,3,1]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
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[5,4,2,8,6,1,3,7]=>[1,5,6,2,4,8,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
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[5,3,2,8,1,7,4,6]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
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[5,3,2,8,1,4,7,6]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
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[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]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
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[7,8,4,1,6,2,5,3]=>[1,7,5,6,2,8,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
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[4,1,3,2,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
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[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]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
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[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]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
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[3,6,8,1,2,7,5,4]=>[1,3,8,4,2,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
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[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]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
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[3,1,2,4,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
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[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]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
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[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]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
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[8,1,4,2,5,3,7,6]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
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[5,1,4,2,6,3,8,7]=>[1,5,6,3,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
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[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]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
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[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]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
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[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]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
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[4,7,2,6,5,3,1,8]=>[1,4,6,3,2,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
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[5,1,8,2,7,6,4,3]=>[1,5,7,4,2,3,8,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
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[8,1,7,6,5,4,2,3]=>[1,8,3,7,2,4,6,5]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
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[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]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
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[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]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
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[3,6,7,2,1,4,8,5]=>[1,3,7,8,5,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
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[4,7,1,8,6,2,5,3]=>[1,4,8,3,2,7,5,6]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[7,8,3,1,6,5,2,4]=>[1,7,2,8,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,7,4,6,1,5,3,2]=>[1,8,2,7,3,4,6,5]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]
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[5,4,2,3,7,6,1,8]=>[1,5,7,2,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,4,2,7,3,5,1,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[7,4,2,6,3,5,1,8]=>[1,7,2,4,6,5,3,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[8,4,2,6,3,1,5,7]=>[1,8,7,5,3,2,4,6]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,2,7,6,4,5,1,8]=>[1,3,7,2,4,6,5,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[4,7,2,6,3,5,1,8]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,7,6,2,3,4,1,8]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
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[1,7,5,2,8,3,4,6]=>[1,2,7,4,3,5,8,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
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[7,1,5,2,8,3,4,6]=>[1,7,4,2,3,5,8,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,8,5,2,7,3,4,6]=>[1,2,8,6,3,5,7,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[1,8,6,7,2,3,4,5]=>[1,2,8,5,3,6,4,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
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[7,1,6,8,2,3,4,5]=>[1,7,4,8,5,2,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
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[8,5,7,2,1,3,4,6]=>[1,8,6,3,7,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
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[5,4,2,3,8,1,6,7]=>[1,5,8,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
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[7,4,2,1,8,3,5,6]=>[1,7,5,8,6,3,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
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[4,6,2,1,3,8,5,7]=>[1,4,2,6,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
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[4,7,2,1,8,3,5,6]=>[1,4,2,7,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,1,8,2,3,4,5]=>[1,7,4,8,5,2,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,6,1,7,2,3,4,5]=>[1,8,5,2,6,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
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[4,8,2,1,7,3,5,6]=>[1,4,2,8,6,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,2,8,1,7,4,5,6]=>[1,3,8,6,4,2,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[3,2,1,8,7,4,5,6]=>[1,3,2,4,8,6,5,7]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[5,1,8,2,7,3,4,6]=>[1,5,7,4,2,3,8,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,1,8,7,2,3,4,5]=>[1,6,3,8,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[8,1,7,6,2,3,4,5]=>[1,8,5,2,3,7,4,6]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,8,7,6,2,3,4,5]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[6,3,5,1,2,4,8,7]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,3,5,6,1,2,8,7]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,7,5,2,1,4,6]=>[1,8,6,2,3,7,4,5]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
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[3,8,4,2,5,7,1,6]=>[1,3,4,2,8,6,7,5]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
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[2,1,5,3,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[6,5,3,2,8,7,1,4]=>[1,6,7,2,5,8,4,3]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]
[7,5,2,4,8,1,6,3]=>[1,7,6,2,5,8,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]
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[4,7,2,8,1,5,3,6]=>[1,4,8,6,5,2,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
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[2,4,8,3,5,6,1,7]=>[1,2,4,3,8,7,5,6]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
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[8,4,1,3,7,2,6,5]=>[1,8,5,7,6,2,4,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
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[7,4,3,8,2,5,1,6]=>[1,7,2,4,8,6,5,3]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[2,1,4,8,3,5,7,6]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
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[4,8,2,3,5,1,6,7]=>[1,4,3,2,8,7,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
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[7,3,6,2,4,8,1,5]=>[1,7,2,3,6,8,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]
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[5,3,6,7,1,2,8,4]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,7,4,1,2,8,5]=>[1,6,2,3,7,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[4,7,6,3,8,1,2,5]=>[1,4,3,6,2,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,7,6,1,4,8,2,5]=>[1,3,6,8,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[5,7,2,6,1,8,3,4]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
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[5,8,2,6,3,7,1,4]=>[1,5,3,2,8,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
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[2,7,6,4,8,1,3,5]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
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[5,4,8,7,1,2,3,6]=>[1,5,2,4,7,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
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[2,3,4,6,7,8,9,1,5]=>[1,2,3,4,6,8,5,7,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]
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[4,2,5,7,3,6,8,1]=>[1,4,7,8,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,7,6,2,3,8,1]=>[1,5,2,4,6,3,7,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[2,7,6,3,4,5,8,1]=>[1,2,7,8,3,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]
[6,5,3,1,2,8,4,7]=>[1,6,8,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,6,5,2,3,7,1,4]=>[1,8,4,2,6,7,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[8,5,2,1,7,3,4,6]=>[1,8,6,3,2,5,7,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
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[1,8,6,3,7,2,4,5]=>[1,2,8,5,7,4,3,6]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]
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[2,8,1,7,3,4,5,6]=>[1,2,8,6,4,7,5,3]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[4,2,8,3,7,1,5,6]=>[1,4,3,8,6,2,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[4,1,7,5,8,2,3,6]=>[1,4,5,8,6,2,3,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,7,3,8,2,4,5,6]=>[1,2,7,5,3,4,8,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,1,2,7,3,4,5,6]=>[1,8,6,4,7,5,3,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[4,2,5,7,1,8,3,6]=>[1,4,7,3,5,2,6,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[3,6,2,7,1,8,4,5]=>[1,3,2,6,8,5,4,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[6,3,7,1,2,8,4,5]=>[1,6,8,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[3,2,1,5,8,4,6,7]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[1,5,3,4,6,8,2,7]=>[1,2,5,6,8,7,3,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[4,3,5,1,6,8,2,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[5,4,6,3,8,7,1,2]=>[1,5,8,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[3,6,4,5,8,7,1,2]=>[1,3,4,5,8,2,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,5,3,4,8,7,1,2]=>[1,6,7,2,5,8,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,3,2,8,7,1,4,6]=>[1,5,7,4,8,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
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[3,7,8,2,4,6,1,5]=>[1,3,8,5,4,2,7,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[5,4,7,8,2,6,1,3]=>[1,5,2,4,8,3,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[4,2,5,8,7,1,3,6]=>[1,4,8,6,2,3,5,7]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[3,6,2,8,7,1,4,5]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[2,3,8,7,1,4,5,6]=>[1,2,3,8,6,4,7,5]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[7,2,8,6,1,3,4,5]=>[1,7,4,6,3,8,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,1,8,7,3,4,5,6]=>[1,2,3,8,6,4,7,5]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[8,2,7,6,1,3,4,5]=>[1,8,5,2,3,7,4,6]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,2,8,7,3,4,5,6]=>[1,2,3,8,6,4,7,5]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
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[5,4,8,7,6,1,2,3]=>[1,5,6,2,4,7,3,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[6,8,3,7,5,1,2,4]=>[1,6,2,8,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[7,8,6,2,5,1,3,4]=>[1,7,3,6,2,8,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[8,1,6,7,3,2,4,5]=>[1,8,5,3,6,2,4,7]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
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[7,4,1,3,2,5,8,6]=>[1,7,8,6,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]
[7,5,1,4,6,8,2,3]=>[1,7,2,5,6,8,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,8,3,2,6,1,5]=>[1,7,2,4,3,8,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,8,3,2,5,1,6]=>[1,7,2,4,3,8,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,4,3,8,2,5,1,7]=>[1,6,5,2,4,8,7,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[5,4,3,2,8,6,1,7]=>[1,5,8,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[6,5,3,8,7,2,1,4]=>[1,6,2,5,7,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,5,4,8,7,1,2,3]=>[1,6,2,5,7,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
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[7,6,1,2,5,8,3,4]=>[1,7,3,2,6,8,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
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[8,3,7,4,1,5,6,2]=>[1,8,2,3,7,6,5,4]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]]
[7,8,1,2,5,4,6,3]=>[1,7,6,4,2,8,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
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[8,4,1,3,7,6,2,5]=>[1,8,5,7,2,4,3,6]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[5,8,7,4,2,1,6,3]=>[1,5,2,8,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[6,5,2,1,8,7,4,3]=>[1,6,7,4,2,5,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,3,8,6,1,2,5,4]=>[1,7,5,2,3,8,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,4,7,1,8,2,6,5]=>[1,3,7,6,2,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,8,2,4,3,5,6,7]=>[1,2,8,7,6,5,3,4]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]]
[1,6,2,4,3,5,7,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,5,2,4,3,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,2,5,3,4,7,8]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
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[1,3,2,8,4,7,5,6]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[1,5,2,8,3,7,4,6]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
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[4,6,3,7,5,2,1,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
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[4,6,3,8,5,1,2,7]=>[1,4,8,7,2,6,3,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[5,6,8,3,4,1,2,7]=>[1,5,4,3,8,7,2,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,6,2,7,5,3,1,8]=>[1,4,7,2,6,3,5,8]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
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[4,6,2,8,5,1,7,3]=>[1,4,8,3,2,6,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[3,2,6,8,5,1,7,4]=>[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[3,2,6,8,5,1,4,7]=>[1,3,6,2,4,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[5,6,8,2,4,1,3,7]=>[1,5,4,2,6,3,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
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[5,7,8,4,1,2,3,6]=>[1,5,2,7,3,8,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
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[6,7,8,1,3,5,2,4]=>[1,6,5,3,8,4,2,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[5,7,8,2,1,6,3,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,7,2,8,1,6,3,5]=>[1,4,8,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
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[4,7,2,8,1,6,5,3]=>[1,4,8,3,2,7,5,6]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[5,7,8,2,1,6,4,3]=>[1,5,2,7,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
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[3,2,6,8,4,1,7,5]=>[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,6,2,8,3,1,7,5]=>[1,4,8,5,3,2,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[5,6,8,3,2,1,7,4]=>[1,5,2,6,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
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[5,7,8,3,1,6,2,4]=>[1,5,2,7,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,7,3,8,1,6,2,5]=>[1,4,8,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[4,7,3,8,1,6,5,2]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,7,3,8,1,5,6,2]=>[1,4,8,2,7,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[4,6,3,8,2,1,7,5]=>[1,4,8,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,5,3,2,8,1,7,6]=>[1,4,2,5,8,6,3,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,5,2,3,8,1,7,6]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[4,5,3,2,8,1,6,7]=>[1,4,2,5,8,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[4,6,3,8,2,1,5,7]=>[1,4,8,7,5,2,6,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[4,7,3,8,1,5,2,6]=>[1,4,8,6,5,2,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[4,7,3,8,1,2,5,6]=>[1,4,8,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[5,7,8,3,1,2,4,6]=>[1,5,2,7,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,7,8,3,1,2,6,4]=>[1,5,2,7,6,3,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,7,8,3,1,4,2,6]=>[1,5,2,7,3,8,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,8,3,2,1,4,7]=>[1,5,2,6,3,8,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,7,8,2,1,4,3,6]=>[1,5,2,7,3,8,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,7,8,1,3,4,2,5]=>[1,6,4,2,7,3,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,7,8,1,4,3,2,5]=>[1,6,3,8,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[6,7,8,1,4,2,3,5]=>[1,6,2,7,3,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[6,7,8,1,2,5,3,4]=>[1,6,5,2,7,3,8,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,7,8,1,2,5,4,3]=>[1,6,5,2,7,4,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[6,7,8,1,2,4,5,3]=>[1,6,4,2,7,5,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,7,8,1,3,2,5,4]=>[1,6,2,7,5,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,7,8,2,1,3,6,4]=>[1,5,2,7,6,3,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,2,7,8,1,4,6,5]=>[1,3,7,6,4,8,5,2]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[6,7,8,1,3,2,4,5]=>[1,6,2,7,4,3,8,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,7,8,1,2,4,3,5]=>[1,6,4,2,7,3,8,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,7,8,1,2,3,5,4]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
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[5,3,8,1,2,6,4,7]=>[1,5,2,3,8,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[8,5,4,1,2,6,3,7]=>[1,8,7,3,4,2,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
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[5,8,7,3,4,1,2,6]=>[1,5,4,3,7,2,8,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
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[4,8,3,7,5,1,2,6]=>[1,4,7,2,8,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,3,4,6,5,1,2,7]=>[1,8,7,2,3,4,6,5]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[3,5,8,7,6,1,2,4]=>[1,3,8,4,7,2,5,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
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[2,3,4,1,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
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[8,1,6,5,2,3,7,4]=>[1,8,4,5,2,3,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,2,7,6,3,4,5,8]=>[1,2,3,7,5,4,6,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
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[4,1,3,8,2,7,5,6]=>[1,4,8,6,7,5,2,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
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[3,2,8,7,1,6,5,4]=>[1,3,8,4,7,5,2,6]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
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[3,2,6,1,5,4,7,8]=>[1,3,6,4,2,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
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[5,7,1,3,8,2,6,4]=>[1,5,8,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
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[6,2,7,8,1,5,4,3]=>[1,6,5,2,3,7,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,2,7,8,5,1,4,3]=>[1,6,2,3,7,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,7,2,8,5,3,1,4]=>[1,6,3,2,7,4,8,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
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[5,8,6,7,1,4,2,3]=>[1,5,2,8,3,6,4,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
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[5,7,3,1,2,6,4,8]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
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[7,2,3,1,4,5,8,6]=>[1,7,8,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
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[8,3,1,6,5,2,4,7]=>[1,8,7,4,6,2,3,5]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[3,7,5,1,8,2,4,6]=>[1,3,5,8,6,2,7,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[4,1,5,2,8,7,3,6]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[8,1,2,4,6,5,3,7]=>[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
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[1,2,3,8,7,5,6,4]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
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[4,7,8,5,6,2,1,3]=>[1,4,5,6,2,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
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[6,7,8,3,2,1,5,4]=>[1,6,2,7,5,3,8,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[5,7,8,3,2,1,6,4]=>[1,5,2,7,6,3,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
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[3,7,8,4,2,5,1,6]=>[1,3,8,6,5,2,7,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[5,7,8,3,2,1,4,6]=>[1,5,2,7,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,6,3,8,2,1,4,5]=>[1,7,4,8,5,2,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[8,6,3,7,2,1,4,5]=>[1,8,5,2,6,3,4,7]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[5,6,3,8,2,1,4,7]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[3,6,4,8,2,5,1,7]=>[1,3,4,8,7,2,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]
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[3,6,4,7,2,5,1,8]=>[1,3,4,7,2,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,6,3,7,2,1,5,8]=>[1,4,7,5,2,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,6,3,7,2,1,4,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,5,3,2,7,1,6,8]=>[1,4,2,5,7,6,3,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,3,2,1,8,5,7]=>[1,6,8,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[7,4,3,2,1,8,6,5]=>[1,7,6,8,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]
[6,4,3,2,1,8,7,5]=>[1,6,8,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[5,6,3,8,2,1,7,4]=>[1,5,2,6,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[7,5,3,2,8,1,6,4]=>[1,7,6,2,5,8,4,3]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]
[7,5,4,2,8,6,1,3]=>[1,7,2,5,8,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,5,4,2,8,7,1,3]=>[1,6,7,2,5,8,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,5,4,2,7,8,1,3]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,5,4,2,6,7,1,3]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[5,6,3,7,2,1,8,4]=>[1,5,2,6,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,6,4,7,3,8,5,1]=>[1,2,6,8,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,5,4,2,7,8,1,6]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
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[4,3,7,5,1,8,6,2]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,3,8,5,1,7,2]=>[1,6,2,4,8,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
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[2,8,3,4,5,1,6,7]=>[1,2,8,7,6,3,4,5]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]
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[3,2,1,4,8,5,6,7]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[5,1,3,2,4,8,6,7]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[2,8,1,5,3,4,7,6]=>[1,2,8,6,4,5,3,7]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[1,2,8,4,5,3,7,6]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
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[4,2,8,1,7,3,6,5]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[2,8,1,7,4,3,6,5]=>[1,2,8,5,4,7,6,3]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]
[7,1,2,8,4,3,6,5]=>[1,7,6,3,2,4,8,5]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,2,8,4,7,5,3,6]=>[1,2,3,8,6,5,7,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[1,2,8,7,4,5,3,6]=>[1,2,3,8,6,5,4,7]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[2,8,1,7,5,3,4,6]=>[1,2,8,6,3,4,7,5]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[8,3,7,1,5,2,4,6]=>[1,8,6,2,3,7,4,5]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[8,1,6,2,7,4,3,5]=>[1,8,5,7,3,6,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
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[3,7,4,8,1,6,2,5]=>[1,3,4,8,5,2,7,6]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[4,2,8,1,7,6,3,5]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[2,8,1,7,6,4,3,5]=>[1,2,8,5,6,4,7,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]
[7,8,3,4,1,5,2,6]=>[1,7,2,8,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[7,8,3,4,1,6,2,5]=>[1,7,2,8,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,7,3,4,1,8,2,5]=>[1,6,8,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[5,7,3,4,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,3,4,1,7,2,6]=>[1,5,2,8,6,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,8,3,4,1,6,2,7]=>[1,5,2,8,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[6,8,3,4,1,5,2,7]=>[1,6,5,2,8,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[5,7,3,4,1,6,2,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,2,7,3,4,1,8]=>[1,5,3,2,6,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,2,8,3,5,1,7]=>[1,4,8,7,2,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[4,7,3,5,1,6,2,8]=>[1,4,5,2,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,8,3,5,1,6,2,7]=>[1,4,5,2,8,7,3,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
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[4,5,1,7,3,6,2,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
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[3,4,2,5,6,7,8,9,1]=>[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,4,5,6,7,8,9,10,1]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
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[6,5,3,2,1,4,8,7]=>[1,6,4,2,5,3,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,6,3,5,2,1,8,7]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,3,5,2,4,1,6]=>[1,8,6,4,5,2,7,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[6,8,2,4,5,7,3,1]=>[1,6,7,3,2,8,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,7,2,4,5,3,1,6]=>[1,8,6,3,2,7,4,5]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[3,6,1,4,5,2,8,7]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,7,4,5,2,1,6]=>[1,8,6,2,3,7,4,5]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[6,3,8,4,5,7,2,1]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,8,7,4,3,6,1,5]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[8,7,3,5,1,4,2,6]=>[1,8,6,4,5,2,7,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[2,1,6,8,5,7,4,3]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,8,3,5,1,7,4,2]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,5,8,4,7,6,3,1]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,3,8,1,5,6,7,2]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,8,1,3,5,6,7,2]=>[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[5,8,7,4,1,6,3,2]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[5,8,3,6,1,4,7,2]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,8,3,6,1,2,7,5]=>[1,4,6,2,8,5,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
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[5,8,7,4,2,6,1,3]=>[1,5,2,8,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[2,6,8,4,5,7,1,3]=>[1,2,6,7,3,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,8,4,5,7,2,3]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,3,5,1,7,2,4]=>[1,6,7,2,8,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,1,5,8,3,6,7,4]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[5,8,3,6,1,2,7,4]=>[1,5,2,8,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[4,1,8,2,5,6,7,3]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,4,8,1,5,6,7,3]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[4,8,2,1,5,6,7,3]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,4,8,2,5,6,7,1]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[5,8,1,4,7,6,2,3]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,3,1,6,2,7,4]=>[1,5,6,2,8,4,3,7]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[4,5,3,8,6,1,7,2]=>[1,4,8,2,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[3,4,1,8,5,6,7,2]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[2,7,8,9,10,1,3,4,5,6]=>[1,2,7,3,8,4,9,5,10,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]]]
[2,5,7,3,6,4,8,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,5,7,3,6,8,4,2]=>[1,2,5,6,8,3,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[8,4,3,7,6,1,5,2]=>[1,8,2,4,7,5,6,3]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[6,7,2,3,5,4,8,1]=>[1,6,4,3,2,7,8,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,3,4,7,6,1,5,2]=>[1,8,2,3,4,7,5,6]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[4,1,3,7,6,8,5,2]=>[1,4,7,5,6,8,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,1,7,3,6,8,4,2]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,8,3,7,6,1,5,2]=>[1,4,7,5,6,2,8,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,3,2,7,6,5,4]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,8,3,1,7,6,5,4]=>[1,2,8,4,3,5,7,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[3,8,2,1,7,6,5,4]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
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[1,2,7,4,8,3,5,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[6,1,7,3,4,8,2,5]=>[1,6,8,5,4,3,7,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[2,1,7,4,5,8,3,6]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
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[2,4,7,5,1,3,8,6]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
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[3,6,2,5,4,1,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,7,5,4,1,6,8]=>[1,3,7,6,2,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[4,3,6,2,8,1,5,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,1,2,5,4,7,8,3]=>[1,6,7,8,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,2,4,5,1,3,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,2,8,5,1,3,7,6]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[4,3,6,8,1,7,2,5]=>[1,4,8,5,2,3,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[5,3,6,4,1,7,2,8]=>[1,5,2,3,6,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,7,4,8,3,5,2]=>[1,2,6,3,7,5,8,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[1,4,6,3,7,5,8,2]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,7,2,5,8,1,3]=>[1,4,2,6,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,4,6,1,7,5,3,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,7,5,4,1,6,3,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
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[5,2,6,4,1,7,3,8]=>[1,5,2,3,6,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
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[3,5,2,6,8,1,7,4]=>[1,3,2,5,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[4,3,1,2,5,6,8,7]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
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[4,7,2,5,8,3,6,1]=>[1,4,5,8,2,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
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[6,7,8,2,4,3,5,1]=>[1,6,3,8,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,7,6,2,8,3,5,1]=>[1,4,2,7,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,6,2,4,7,5,1]=>[1,8,2,3,6,7,5,4]=>[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]
[3,7,6,2,4,8,5,1]=>[1,3,6,8,2,7,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[5,7,3,8,4,6,2,1]=>[1,5,4,8,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[8,7,2,1,4,3,6,5]=>[1,8,5,4,2,7,6,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[8,7,3,1,4,6,2,5]=>[1,8,5,4,2,7,3,6]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
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[4,7,6,5,8,1,2,3]=>[1,4,5,8,3,6,2,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
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[1,7,9,2,3,4,5,6,8]=>[1,2,7,5,3,9,8,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]]
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[3,4,7,2,8,1,6,5]=>[1,3,7,6,2,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,4,7,2,5,8,6,3]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[7,3,8,4,5,6,1,2]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,4,8,7,1,2]=>[1,3,6,7,2,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,8,5,3,7,1,2]=>[1,4,5,3,8,2,6,7]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[1,6,5,4,2,8,7,3]=>[1,2,6,8,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[1,8,5,2,7,3,6,4]=>[1,2,8,4,3,5,7,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[4,2,7,5,1,8,6,3]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,8,1,4,2,6,5,3]=>[1,7,5,2,8,3,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[1,3,6,4,8,2,5,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[7,4,5,3,2,8,1,6]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,3,6,1,4,2,7]=>[1,5,2,8,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[1,4,6,2,5,8,3,7]=>[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,6,8,7,4,2,3,5]=>[1,2,6,3,8,5,4,7]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[7,1,8,6,3,4,2,5]=>[1,7,2,3,8,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[1,2,8,3,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[6,1,3,2,7,5,8,4]=>[1,6,5,7,8,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[1,6,3,8,5,7,2,4]=>[1,2,6,7,3,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,4,3,7,2,8,5]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,3,4,8,7,1,5]=>[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,3,4,5,2,8,6]=>[1,7,8,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,1,6,3,8,2,7,5]=>[1,4,3,6,2,5,8,7]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[7,8,2,4,6,3,1,5]=>[1,7,2,8,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,2,6,4,7,8,1,5]=>[1,3,6,8,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[7,2,5,8,3,4,1,6]=>[1,7,2,3,5,4,8,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[5,3,8,7,1,2,6,4]=>[1,5,2,3,8,4,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[6,5,3,8,2,1,7,4]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[7,5,8,4,1,2,3,6]=>[1,7,3,8,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[5,8,7,4,1,3,2,6]=>[1,5,2,8,6,3,7,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[3,5,7,8,4,1,2,6]=>[1,3,7,2,5,4,8,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[1,4,7,5,3,8,2,6]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[2,4,6,7,3,1,8,5]=>[1,2,4,7,8,5,3,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,8,4,6,3,1,2,5]=>[1,7,2,8,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,6,4,5,3,8,1,7]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[3,6,5,8,4,2,1,7]=>[1,3,5,4,8,7,2,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[5,6,8,4,2,3,1,7]=>[1,5,2,6,3,8,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,8,5,4,3,1,2,7]=>[1,6,2,8,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[8,6,5,1,2,4,7,3]=>[1,8,3,5,2,6,4,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,7,5,8,2,1,4,3]=>[1,6,2,7,4,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,7,5,8,2,6,4,3]=>[1,2,7,4,8,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[1,3,8,5,7,6,2,4]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[6,3,8,5,7,1,2,4]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,3,1,5,6,2,7,4]=>[1,8,4,5,6,2,3,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[6,8,5,2,1,4,7,3]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,8,2,5,6,1,7,4]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[2,8,1,5,6,3,7,4]=>[1,2,8,4,5,6,3,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,1,2,5,6,3,7,4]=>[1,8,4,5,6,3,2,7]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[1,8,2,5,7,6,3,4]=>[1,2,8,4,5,7,3,6]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[5,1,8,6,2,7,3,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[2,5,8,6,1,7,3,4]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[7,6,5,8,1,2,4,3]=>[1,7,4,8,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,3,7,8,6,2,4]=>[1,5,8,4,7,2,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[7,2,5,8,1,6,4,3]=>[1,7,4,8,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,2,8,5,7,6,1,4]=>[1,3,8,4,5,7,2,6]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[5,2,8,6,1,7,3,4]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,2,8,6,5,7,3,4]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[4,2,1,3,6,7,8,5]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,5,6,3,7,1,4]=>[1,8,4,6,7,2,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[7,2,6,5,4,1,8,3]=>[1,7,8,3,6,2,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[6,1,3,5,4,7,8,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,1,5,3,4,7,8,2]=>[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[4,3,1,2,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,6,5,7,3,2,4]=>[1,8,4,5,7,2,3,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[5,8,1,6,3,7,2,4]=>[1,5,3,2,8,4,6,7]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[1,7,6,5,4,2,8,3]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[5,7,6,1,4,2,8,3]=>[1,5,4,2,7,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[7,1,4,2,6,5,8,3]=>[1,7,8,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,7,4,1,5,6,8,3]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[5,7,6,4,1,2,8,3]=>[1,5,2,7,8,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,7,6,1,5,2,8,3]=>[1,4,2,7,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[1,7,6,4,5,2,8,3]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[3,8,1,6,5,7,2,4]=>[1,3,2,8,4,6,7,5]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[8,1,3,5,7,6,2,4]=>[1,8,4,5,7,2,3,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[7,8,5,4,1,6,2,3]=>[1,7,2,8,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,1,5,4,3,7,8,2]=>[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[8,3,2,6,5,7,1,4]=>[1,8,4,6,7,2,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[7,4,6,2,5,1,8,3]=>[1,7,8,3,6,2,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[6,1,4,3,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,1,3,4,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,2,6,4,5,1,8,3]=>[1,7,8,3,6,2,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[8,2,3,6,5,7,1,4]=>[1,8,4,6,7,2,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[3,4,7,8,5,6,1,2]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,2,5,1,6,8]=>[1,3,7,6,2,4,5,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,4,7,2,5,8,3,6]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[3,6,2,4,7,1,5,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,3,4,5,7,1,2]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,3,6,7,5,8,1,2]=>[1,4,7,2,3,6,8,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,3,7,5,8,4,1,2]=>[1,6,4,5,8,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,2,7,6,5,8,3,4]=>[1,2,3,7,4,6,8,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,8,2,6,1,5,3,7]=>[1,4,6,5,2,8,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
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[2,1,6,7,5,8,3,4]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
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[5,6,3,1,8,7,2,4]=>[1,5,8,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
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[4,8,7,2,1,6,5,3]=>[1,4,2,8,3,7,5,6]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
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[1,4,5,7,3,2,8,6]=>[1,2,4,7,8,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
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[6,3,5,1,7,4,8,2]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
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[3,2,1,5,7,4,8,6]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
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[2,5,6,7,8,3,1,4]=>[1,2,5,8,4,7,3,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[3,2,1,6,7,8,4,5]=>[1,3,2,4,6,8,5,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[5,2,1,6,7,8,4,3]=>[1,5,7,4,6,8,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,3,6,1,7,8,4,2]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,5,6,7,8,3,2,4]=>[1,2,5,8,4,7,3,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[6,4,5,7,2,1,8,3]=>[1,6,2,4,7,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,3,6,2,7,8,4,1]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,3,6,2,7,8,1,4]=>[1,5,7,2,3,6,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,5,2,7,1,8,4]=>[1,6,2,3,5,7,8,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
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[6,3,2,1,7,4,8,5]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,1,7,3,5,8,6]=>[1,4,7,8,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,3,1,5,4,2,8,6]=>[1,7,8,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,1,5,2,7,6,3]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[8,2,5,1,3,7,6,4]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[4,3,7,2,1,5,8,6]=>[1,4,2,3,7,8,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,3,7,4,2,1,8,5]=>[1,6,2,3,7,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
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[1,2,5,3,8,7,4,6]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
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[3,5,8,7,1,4,2,6]=>[1,3,8,6,4,7,2,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[5,3,8,4,1,7,6,2]=>[1,5,2,3,8,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
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[4,3,8,7,6,5,1,2]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
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[5,8,3,7,6,1,4,2]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
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[5,1,8,4,7,2,6,3]=>[1,5,7,6,2,3,8,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,5,1,2,4,7,3]=>[1,6,4,2,8,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
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[5,6,2,4,3,1,8,7]=>[1,5,3,2,6,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,1,2,4,3,8,7]=>[1,5,4,2,6,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,5,8,1,7,2,3,6]=>[1,4,2,5,7,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,5,8,1,7,2,6,3]=>[1,4,2,5,7,6,3,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
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[2,1,7,4,5,8,6,3]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[2,1,8,3,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[7,8,2,6,4,1,5,3]=>[1,7,5,4,6,2,8,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,6,3,5,8,7,1,4]=>[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,2,7,6,1,8,3]=>[1,4,7,8,3,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[3,6,8,7,5,2,1,4]=>[1,3,8,4,7,2,6,5]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]
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[2,6,4,8,5,3,7,1]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
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[6,4,8,7,1,3,2,5]=>[1,6,3,8,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
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[4,3,8,2,7,6,1,5]=>[1,4,2,3,8,5,7,6]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
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[5,8,1,6,2,3,4,7]=>[1,5,2,8,7,4,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
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[2,3,6,8,4,5,1,7]=>[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
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[5,8,4,3,7,6,1,2]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,7,4,3,1,6,2,5]=>[1,8,5,2,7,3,4,6]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,7,4,3,8,6,2,5]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
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[2,8,6,1,7,4,5,3]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[4,7,6,8,2,1,5,3]=>[1,4,8,3,6,2,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[6,1,8,7,4,3,5,2]=>[1,6,3,8,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,5,4,3,1,6,7,2]=>[1,8,2,5,3,4,6,7]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,5,8,6,3,4,7,2]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
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[4,1,3,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[6,5,8,4,3,1,7,2]=>[1,6,2,5,3,8,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[4,6,5,2,8,1,7,3]=>[1,4,2,6,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,2,8,1,3,6,4,5]=>[1,7,4,2,3,8,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,8,5,2,3,6,7,4]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
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[4,8,3,2,5,6,7,1]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
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[7,5,1,8,2,4,3,6]=>[1,7,3,2,5,4,8,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,5,8,1,2,4,7,6]=>[1,3,8,6,4,2,5,7]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[4,5,8,1,2,3,7,6]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
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[2,3,1,6,8,4,7,5]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[1,4,7,3,2,8,5,6]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
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[8,4,1,3,6,2,7,5]=>[1,8,5,6,2,4,3,7]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
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[4,5,8,7,3,6,1,2]=>[1,4,7,2,5,3,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,2,8,6,1,7,4]=>[1,3,2,5,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[8,6,5,4,1,2,7,3]=>[1,8,3,5,2,6,4,7]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
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[2,8,6,3,7,1,5,4]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[6,5,2,4,8,1,7,3]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[5,1,4,8,2,6,7,3]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[4,8,2,5,1,6,7,3]=>[1,4,5,2,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
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[4,2,1,8,5,6,7,3]=>[1,4,8,3,2,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[1,5,4,8,2,6,7,3]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[7,2,1,5,8,6,3,4]=>[1,7,3,2,4,5,8,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,1,6,7,3]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[5,4,8,3,7,6,1,2]=>[1,5,7,2,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,1,5,8,6,2,7,4]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[6,3,4,8,5,1,7,2]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[5,3,4,8,1,6,7,2]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[7,5,8,4,1,2,6,3]=>[1,7,6,2,5,3,8,4]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]
[6,5,4,8,7,1,3,2]=>[1,6,2,5,7,3,4,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,5,4,8,1,2,7,3]=>[1,6,2,5,3,4,8,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[7,5,1,6,2,3,8,4]=>[1,7,8,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[6,5,4,1,8,2,7,3]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[6,5,4,7,1,2,8,3]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[6,5,4,7,8,1,3,2]=>[1,6,2,5,8,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[6,5,3,7,1,4,2,8]=>[1,6,4,7,2,5,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,5,1,4,8,3,2,6]=>[1,7,2,5,8,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,1,6,4,7,3,5,2]=>[1,8,2,3,6,4,5,7]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[7,5,1,4,8,3,6,2]=>[1,7,6,3,2,5,8,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
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[6,4,3,1,5,8,7,2]=>[1,6,8,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,1,5,4,3,7,6,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
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[7,4,1,5,3,2,6,8]=>[1,7,6,2,4,5,3,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,5,3,8,1,4,2,7]=>[1,6,4,8,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,6,8,1,4,3,2,5]=>[1,7,2,6,3,8,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[8,1,7,2,5,4,3,6]=>[1,8,6,4,2,3,7,5]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[6,5,3,8,1,4,7,2]=>[1,6,4,8,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[6,5,3,1,2,7,8,4]=>[1,6,7,8,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,4,3,1,5,2,8,7]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,4,1,5,3,6,2,8]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,5,4,3,6,2,7]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[8,1,5,4,3,6,7,2]=>[1,8,2,3,5,4,6,7]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[7,4,1,5,3,6,8,2]=>[1,7,8,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
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[6,7,3,8,4,5,1,2]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[4,7,5,6,3,8,1,2]=>[1,4,6,8,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,7,5,8,4,6,1,2]=>[1,3,5,4,8,2,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[4,5,3,8,6,7,1,2]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[4,8,3,6,5,7,1,2]=>[1,4,6,7,2,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,6,4,7,1,8,2,3]=>[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,6,1,7,3,8,2,4]=>[1,5,3,2,6,8,4,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[5,6,1,8,2,7,3,4]=>[1,5,2,6,7,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,6,1,8,4,7,2,3]=>[1,5,4,8,3,2,6,7]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[4,8,1,6,5,7,2,3]=>[1,4,6,7,2,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,5,1,8,6,7,2,3]=>[1,4,8,3,2,5,6,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[7,8,4,5,1,6,2,3]=>[1,7,2,8,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,8,1,4,3,7]=>[1,5,2,6,4,8,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[5,6,3,4,1,8,2,7]=>[1,5,2,6,8,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[3,6,4,5,2,7,1,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,3,6,1,5,4,7]=>[1,2,8,7,4,6,5,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[7,8,1,5,3,6,2,4]=>[1,7,2,8,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,8,3,6,2,7,4,5]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[1,6,4,8,2,7,3,5]=>[1,2,6,7,3,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,4,7,3,5,1,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,7,3,6,4,5,1,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[1,7,2,8,4,6,3,5]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,7,5,8,4,6,2,3]=>[1,2,7,3,5,4,8,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[1,7,5,8,2,6,3,4]=>[1,2,7,3,5,4,8,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
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[5,7,3,1,6,8,2,4]=>[1,5,6,8,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[6,2,1,4,3,8,7,5]=>[1,6,8,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[5,8,3,1,7,6,2,4]=>[1,5,7,2,8,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,7,4,8,1,6,2,3]=>[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,1,6,8,7,3,4]=>[1,5,8,4,6,7,3,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[5,4,6,8,1,7,2,3]=>[1,5,2,4,8,3,6,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[4,5,6,8,7,1,2,3]=>[1,4,8,3,6,2,5,7]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[4,7,5,8,6,1,2,3]=>[1,4,8,3,5,6,2,7]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[4,8,5,7,6,1,2,3]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,6,7,5,1,2,3]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,7,6,8,5,1,2,3]=>[1,4,8,3,6,2,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[4,6,7,8,5,1,2,3]=>[1,4,8,3,7,2,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,4,7,8,1,6,2,3]=>[1,5,2,4,8,3,7,6]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,2,1,7,8,6,3,4]=>[1,5,8,4,7,3,2,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[5,3,8,1,7,6,2,4]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,4,8,7,1,6,2,3]=>[1,5,2,4,7,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,7,8,6,5,1,2,3]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,8,7,6,5,1,2,3]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[2,5,4,7,3,6,1,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[2,4,6,3,7,5,1,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,2,7,3,6,5,1,8]=>[1,4,3,7,2,5,6,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[4,2,6,3,1,5,8,7]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,5,3,1,6,4,8,7]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,5,3,7,6,4,1,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,6,5,3,7,4,1,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,6,3,7,5,4,1,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,7,5,2,3,8,4,6]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[2,1,3,7,5,4,8,6]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[2,3,1,8,6,5,4,7]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[2,5,3,1,8,6,4,7]=>[1,2,5,8,7,4,3,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[8,3,2,6,4,1,5,7]=>[1,8,7,5,4,6,2,3]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]
[1,5,2,8,3,4,7,6]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,2,6,3,8,7,4,5]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,2,8,3,6,4,7,5]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,7,6,3,4,8,5]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[2,1,3,8,7,5,4,6]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[1,2,3,8,6,4,7,5]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,2,3,7,4,8,6,5]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[1,2,7,6,3,8,4,5]=>[1,2,3,7,4,6,8,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[1,2,3,6,4,8,7,5]=>[1,2,3,4,6,8,5,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[1,2,3,7,6,4,8,5]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[2,6,3,1,8,5,4,7]=>[1,2,6,5,8,7,4,3]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[2,1,3,8,5,4,7,6]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[7,1,8,4,2,3,5,6]=>[1,7,5,2,3,8,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,1,8,4,3,5,7,6]=>[1,2,3,8,6,5,4,7]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[4,2,6,3,1,8,5,7]=>[1,4,3,6,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[5,4,2,8,3,1,6,7]=>[1,5,3,2,4,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,5,8,2,4,1,6,7]=>[1,3,8,7,6,2,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[2,5,4,8,3,1,6,7]=>[1,2,5,3,4,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[1,8,7,4,2,3,5,6]=>[1,2,8,6,3,7,5,4]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[1,5,2,8,7,3,4,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[1,2,7,3,6,4,8,5]=>[1,2,3,7,8,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[1,2,8,6,3,7,4,5]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,7,3,8,6,4,5]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,2,3,8,4,7,6,5]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,2,7,3,4,8,6,5]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[1,2,6,3,8,4,7,5]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,5,2,3,8,7,4,6]=>[1,2,5,8,6,7,4,3]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[4,2,1,8,3,7,5,6]=>[1,4,8,6,7,5,3,2]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[8,3,2,1,7,4,5,6]=>[1,8,6,4,2,3,5,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,2,8,6,3,4,7,5]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[1,2,7,3,8,4,6,5]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[1,2,3,8,7,4,6,5]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[1,2,3,8,7,6,4,5]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[2,5,3,8,1,6,4,7]=>[1,2,5,3,4,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[2,6,4,7,1,5,3,8]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,6,5,7,1,4,3,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,8,5,7,1,2,6,4]=>[1,3,5,2,8,4,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[3,8,5,7,2,6,4,1]=>[1,3,5,2,8,4,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[3,4,8,6,2,5,7,1]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[3,4,8,6,1,2,5,7]=>[1,3,8,7,5,2,4,6]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[2,4,8,1,5,7,6,3]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[2,4,3,8,1,6,5,7]=>[1,2,4,8,7,5,3,6]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[2,3,8,1,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[4,8,6,7,2,3,5,1]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,6,7,1,2,3,5]=>[1,4,7,3,6,2,8,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,8,6,7,1,3,5,2]=>[1,4,7,5,2,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,4,8,6,1,5,7,2]=>[1,3,8,2,4,6,5,7]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[3,8,5,7,1,6,4,2]=>[1,3,5,2,8,4,7,